BACKGROUND OF THE INVENTION 0001 1. Field of the Invention 0002 The present invention relates to stretchable interconnects providing electrical connection in which conductive films or stripes are formed on or embedded within deformable substrates and the substrates may be pre-stretched before fabrication of the conductive film or stripe. 0003 2. Related Art 0004 A number of electronic circuits require low resistance connections between parts that are mechanically separate and/or can move against each other. Examples include: large-area electronics that can be bent or 3-D deformed; printed wire boards with creases along which they can be folded to achieve high density; and integrated circuits that move against their packages under the influence of thermal expansion. Typically, when such movement occurs the electrical contacts between interconnects and circuits are subjected to mechanical stress. If this stress results in mechanical debonding, the circuit also fails electrically. 0005 Photolithographically patterned stretchable interconnects for electrically connecting electronic devices which are supported for movement relative to one another have been described. U.S. patent application No. 2002-0294701 describes a stretchable interconnect formed of a coiled conductor. The coiled conductor is formed by photolithography. In this technique, a negative or positive resist (photoresist) is coated onto an exposed surface of a material. The resist is irradiated in a predetermined pattern, and irradiated (positive resist) or nonirradiated (negative resist) portions of the resist are removed from the surface to produce a predetermined resist pattern on the surface. This can be followed by one or more procedures such as etching, plating, and the like. The coiled conductor is formed of a metal or alloy having a stress gradient extending through the thickness of the conductor. The interconnects become stretchable when a supporting substrate is removed from the interconnect. 0006 Formation of ordered structures in thin films of metals supported on an elastomeric polymer have been described in Bowden, N. et al., Nature, 393, 146 (1998). The ordered structures were spontaneously generated by buckling of thin metal films owing to thermal contraction of an underlying substrate. Films from the vapor phase are deposited on a thermally expanded polymer of polydimethyl siloxane (PDMS). Subsequent cooling of the polymer creates compressive stress in the metal film that is relieved by buckling with a uniform wavelength of 20-50 micrometers. The waves can be controlled and oriented by relief structures in the surface of the polymer to provide intricate ordered patterns. It is described that the patterning process may find applications in optical devices. 0007 Inherent flexibility of thin-film electronics can be used in a variety of applications. One approach to making flexible and deformable structures is to use polymer substrates. The flexibility of the polymer substrate offers application opportunities that utilize curved and/or deformable surfaces. Retina-shaped photosensor arrays described in Hsu, P. et al., Appl. Phys. Lett. 81, 1723-5 (2002), electro-active polymer actuators described in Pelrine, R. et al., Smart Structures and Materials 2001: Electroactive Polymer Actuators and Devices, edited by Y. Bar-Cohen, SPIE Proc. 4329, Bellingham, WA, (2001) pp. 334-349, or stretchable sensitive skin described in Lumelsky, V. J. et al. IEEE Sensors journal 1, 41 (2001) are electronic systems that combine electronic functions with the flexibility of plastic substrates. 0008 Dielectric elastomer actuators with smart metallic electrodes made of silver were described in Benslimane et al., Smart Structures and Materials 2002, Electroactive Polymer Actuators and Devices, edited by Y. Bar-Cohen, 150 Proceedings of SPIE Vol. 4695 (2002). An elastomer film is spin coat on a mold for forming a corrugated quasisinusoidal profile. Thin metal films are deposited on the corrugated surfaces of the elastomer film. Since the elastomer conserves volume when it is deferred, the electrically-induced stress in the film thickness direction is converted to stress in the direction of actuation. The corrugation depth-to-period ratio is optimized in order to obtain elongation of about 33% before the metal electrode breaks. 0009 An electrode for a bending-electrostrictive polyurethane actuator was described in Watanabe, M. et al., J. Appl. Phys. 92, 4631 (2002). The wrinkled electrode was prepared by in situ deposition of polypyrrole onto a polyurethane elastomer film that was being uniaxially drawn. After the deposition, the film was released from the drawing to make the electrode wrinkle. The bending actuator of the polyurethane film with the wrinkled electrode was improved compared to an unwrinkled one. Polypyrrole is an organic conductor, with an electrical conductivity much lower than that of typical interconnect metals, e.g., gold or aluminum. Accordingly, organic conductors have a greatly restricted applicability compared to metallic conductors. 0010 It is desirable to provide an improved stretchable and elastic electrical interconnect of thin metal films which can be used to provide electrical connection in applications such as thin-film electronics and conformable integrated circuits.

SUMMARY OF THE INVENTION 0011 It has been found that thin electrically conducting films can be stretched far when they are made on easily deformable substrates. The electrically conducting films can be stretched far more than free-standing metal films and beyond predictions based on geometric concepts of stretchable films. When tightly bonded to the substrate, the electrically conducting films remain electrically conducting to high values of extension and can be used as stretchable electrical interconnections. When the substrate is an elastomer, electrical conductance is retained over multiple cycles of stretching and relaxation, and such films on elastomeric substrates can be used as elastic electrical interconnects. When the substrate deforms plastically, the film can be stretched once and retains electrical conduction. For example, the structures can be stretched by a factor of two or greater in length. 0012 The present invention relates to stretchable interconnects which can be made in various geometric configurations, depending on the intended application. The stretchable interconnects can be formed of an elastomer material to provide elastic properties in which the interconnects can be reversibly stretched in order to stretch and relax the elastomer material to its original configuration. Alternatively, stretchable interconnects can be formed of a plastic material to provide stretching of the material to a stretched position and retaining the stretched configuration. In one embodiment, the stretchable interconnect is formed of a flat 2-dimensional conductive film covering an elastomeric, polymeric or plastic substrate. When this structure is stretched in one or two dimensions, it retains electrical conduction in both dimensions. 0013 In another embodiment, the stretchable interconnect is formed of a conductive stripe of a conductive material on an elastomeric or plastic substrate. The conductive stripe can be nearly one-dimensional, meaning that it is much longer than wide. When the conductive stripe is stretched, preferably along its longitudinal axis, it retains electrical conduction. Alternatively, conductive films or conductive stripes can be embedded within the elastomeric or plastic substrate. 0014 In other aspects of the present invention, the stretchable and/or elastic interconnects are formed of a film or stripe that is formed on an elastomeric or plastic substrate such that it is buckled randomly, or organized in waves with long-range periodicity. The buckling or waves can be induced by various techniques, including: built-in compressive stress in the conductive film or conductive stripe; pre-stretching the substrate prior to the fabrication of the conductive film or conductive stripe; and patterning of the surface of the substrate prior to the fabrication of the metal film. 0015 In another embodiment of the present invention, the stretchable interconnect is formed of a plurality of conductive films or conductive stripes embedded between a plurality of layers of a substrate formed of an elastomer or plastic. In another aspect, the stretchable interconnect of the present invention can include conductive stripes that run in different directions on top of an elastomeric or plastic substrate, or are embedded in it, either at a single level, or in a plurality of layers. In one embodiment, the stretchable interconnects are formed of conductive films or stripes oriented in all three directions, atop or within an elastomer or plastic matrix. 0016 The present invention is a technique to reduce the mechanical stress on interconnects to low values by making stretchable interconnects. The stretchable interconnects of the present invention are useful for flexible and deformable electronics, and for making space-saving interconnections. Applications for stretchable and/or elastic interconnects of the present invention include: flexible and deformable electronics, in which subeircuits are connected with low resistance conductors that can be stretched or compressed once or many times; thin film metal connectors between mechanically separate circuits; and packaging of integrated circuits with stretchable interconnects that do not place the connections of the IC under mechanical load. 0017 The invention will be more fully described by reference to the following drawings.

BRIEF DESCRIPTION OF THE DRAWINGS 0018 FIG. 1A is a top view of an array of electronic devices connected with stretchable interconnects having a wavy profile, in accordance with the teaching of the present invention. 0019 FIG. 1B is a top view of an array of electronic devices connected with stretchable interconnects having a flat profile. 0020 FIG. 2A is a perspective schematic diagram of a substrate prior to application of a conductive film. 0021 FIG. 2B is a perspective schematic diagram of a stretchable interconnect formed by application of a conductive film to the substrate shown in FIG. 2A. 0022 FIG. 2C is a side elevational view of the stretchable interconnect shown in FIG. 2B. 0023 FIG. 3A is a perspective schematic view of a stretchable interconnect having a buckled or wavy profile. 0024 FIG. 3B is a side elevational view of the stretchable interconnect shown in FIG. 3A. 0025 FIG. 4 is a top plan view of a plurality of stretchable interconnects formed as conductive stripes. 0026 FIG. 5A is a top plan view of a compliant shadow mask used for forming conductive stripes. 0027 FIG. 5B is a cross-sectional view of the shadow mask shown in FIG. 5A. 0028 FIG. 6A is a top plan view of a rigid shadow mask used for forming conductive stripes. 0029 FIG. 6B is a cross-sectional view of the shadow mask shown in FIG. 6A. 0030 FIG. 7A is a top plan view of a photoresist mask used for forming conductive stripes. 0031 FIG. 7B is a cross-sectional view of the photoresist mask shown in FIG. 7A. 0032 FIG. 8 is an optical image of a conductive stripe including a built-in wavy profile. 0033 FIG. 9A is a perspective schematic view of a wavy interconnect substrate. 0034 FIG. 9B is a side elevational view of a stretchable interconnect formed of the substrate of FIG. 9A. 0035 FIG. 10A is a side elevational view of a substrate used in forming a stretchable interconnect. 0036 FIG. 10B is a side elevational view of the substrate after pre-stretching of the substrate by X % strain. 0037 FIG. 10C is a side elevational view of a stretchable interconnect formed after application of a conductive film to the pre-stretched substrate. 0038 FIG. 10D is a side elevational view of the wavy stretchable interconnect in a relaxed condition. 0039 FIG. 11A is a side elevational view of a stretchable interconnect formed in accordance with FIGS. 2A-2B. 0040 FIG. 11B is a side elevational view of the stretchable interconnect of FIG. 11A while stretching. 0041 FIG. 12A is a side elevational view of a stretchable interconnect formed in accordance with FIGS. 3A-3B. 0042 FIG. 12B is a side elevational view of the stretchable interconnect of FIG. 12A when stretched flat. 0043 FIG. 12C is a side elevational view of the stretchable interconnect of FIG. 12B upon additional stretching. 0044 FIG. 13A is a side elevational view of a stretchable interconnect formed in accordance with FIGS. 10A-10D. 0045 FIG. 13B is a side elevational view of the stretchable interconnect of FIG. 13A when stretched less than the initial pre-stretching (X %) percentage. 0046 FIG. 13C is a side view of the stretchable interconnect of FIG. 13A when stretched flat at a value equal to the initial pre-stretched percentage. 0047 FIG. 13D is a side view of the stretchable interconnect of FIG. 13A when stretched to a greater value than the initial pre-stretched percentage. 0048 FIG. 14A is a cross-sectional schematic view of a stretchable interconnect embedded in a substrate having a flat profile. 0049 FIG. 14B is a cross-sectional schematic view of a stretchable interconnect embedded in a substrate having a wavy profile. 0050 FIG. 15A is a side elevational view of a stack of stretchable interconnects where each layer has a flat profile. 0051 FIG. 15B is a side elevational view of the stack of stretchable interconnects of FIG. 15A when stretching. 0052 FIG. 16A is a side elevational view of a stack of stretchable interconnects with each layer having a wavy profile. 0053 FIG. 16B is a side elevational view of the stack of stretchable interconnects of 16A when stretching at a lower value than the pre-stretched percentage X %. 0054 FIG. 16C is a side elevational view of the stack of stretchable interconnects of 16B when stretched to a value greater than the initial pre-stretched percentage X %. 0055 FIG. 17 is a schematic view of stretchable interconnects mounted in a substrate. 0056 FIG. 18 is a pictorial view of a combined strain and electrical resistance tester used to record the electromechanical behavior of the stretchable interconnect. 0057 FIG. 19 is a graph of the variation of the normalized change in electrical R of an interconnect with applied tensile strain. 0058 FIG. 20A is a photograph of a stretchable interconnect under a 8% tensile strain. 0059 FIG. 20B is a photograph of a stretchable interconnect under a 16.4% tensile strain. 0060 FIG. 21 is a scanning electronic micrograph of a stretchable interconnect formed in accordance with FIGS. 2A-2C. 0061 FIG. 22 is a graph of an electrical resistance versus bending strain for three thicknesses of a conductive film. 0062 FIG. 23 is a scanning electronic micrograph of a stretchable interconnect formed in accordance with FIGS. 2A-2C after bending to 4%.

DETAILED DESCRIPTION 0063 Reference will now be made in greater detail to a preferred embodiment of the invention, an example of which is illustrated in the accompanying drawings. Wherever possible, the same reference numerals will be used throughout the drawings and the description to refer to the same or like parts. 0064 FIGS. 1A-1B are schematic diagrams of stretchable interconnect 10 for electrically connecting electronic components 12, in accordance with the teachings of the present invention. Stretchable interconnect 10 can have a substantially buckled or wavy profile, as shown in FIG. 1A. The wavy profile is across the thickness of stretchable interconnect, for example in and out of the surface. Alternatively, stretchable interconnect 10 can have a substantially flat profile, as shown in FIG. 1B. Electronic component 12 can comprise electronic devices, thin film devices, sensors, circuit elements, control elements, microprocessors, transducers or any other desired electronic device as well as combinations of the foregoing. Stretchable interconnects 10 can be connected to respective contact pads 13 of two adjacent electronic components 12 for electrically coupling a contact of one device to a contact of another device. Electrical contact between stretchable interconnect 10 and device pad 13 of electronic component 12 can be achieved using any one of the techniques used in the fabrication and packaging of integrated circuits and printed wiring boards, such as metal evaporation, wire bonding, application of solids or conductive pastes. Stretchable interconnect 10 comprises a conductive film or conductive stripe formed on or embedded within a flexible substrate, as described below. 0065 In one aspect of the present invention, stretchable interconnect 10 is formed by covering flexible substrate 16 with conductive film 14, as shown in FIGS. 2A-2C. Substrate 16 can be an organic or inorganic material that can be stretched reversibly or stretched non-reversibly. A material which can be stretched non-reversibly can be deformed only once. Materials that can be stretched reversibly in order to be stretched and relaxed repeatedly are elastomeric, rubber-like. Elastomeric materials include carbon-based or silicon-based polymeric rubbers. Suitable elastomeric materials are silicone rubber, such as polydimethyl siloxane (PDMS) and acrylic rubber. Materials that can be deformed once include plastic materials. Suitable plastic materials include polyethylene terephthalate. Alternatively, substrate 16 can be formed of polymeric materials which are partly elastic and partly plastic. A suitable polymeric material is polyimide. The characteristic of the elastomeric or plastic material can depend strongly on temperature. Geometry of substrate 16 can be determined for a desired use. For example, substrate 16 can have a thickness of less than about 1 m to about 1 cm and an area in the range of about 1 m2 to about 1 m2 or more. 0066 Conductive film 14 can comprise one or more layers of materials. Electrically conductive materials useful for conductive film 14 include metallic conducting materials such as copper, silver, gold, aluminum and the like. Alternatively, electrically conductive materials include organic conducting materials such as polyaniline. Suitable electrically conductive materials include a semiconductor, either inorganic like silicon or indium tin oxide, or organic-like pentacene or polythiophene. Alternatively, the electrically conductive materials can be alloys instead of stoichiometric elements or compounds. Conductive film 14 can be formed on substrate 16 by electron beam evaporation, thermal evaporation, sputter deposition, chemical vapor deposition (CVD), electroplating, molecular beam epitaxy (MBE) or any other conventional means. Conductive film 14 can be very thin of a mono or few atomic layers. 0067 In one aspect, an electrically conductive material having adhesive properties to the substrate material is used singly or in combination with one or more additional layers, for example, a first conductive film 14a of chromium can be applied to substrate 16 as an adhesive layer and a second conductive film 14b of gold can be applied to the chromium layer. First conductive film 14a applied to substrate 16 as an adhesive layer can be a thin film having a thickness in the range of about 1 nm to about 100 nm, as shown in FIG. 2C. Second conductive film 14b applied to first conductive film 14a can be a thin film having a thickness in a range of about 1 nm to about 1000 nm. 0068 In this aspect, stretchable interconnect 10 retains a flat profile after application of conductive film 14 to substrate 16. Stretchable interconnect 10 can be stretched along its length L1 and/or its width W1 and retain electrical conduction in both the length or width directions. 0069 In another aspect, stretchable interconnect 10, formed by the above described method, has a wavy or buckled profile, as shown in FIGS. 3A-3B. For example, the profile can be buckled randomly or organized in waves with long-range periodicity. The wavy or buckled profile can be induced by compressive stress within conductive film 14 upon application of the film to substrate 16. The compressive stress can be a result of built in stress or thermal expansion mismatch or both. 0070 In another aspect, stretchable interconnect 10 is formed as conductive stripe 20 on substrate 16, as shown in FIG. 4. Conductive stripe 20 can have a width in the range of about 100 m to about 2 nm or, alternatively, about 1 nm to about 1 m and a length determined by the desired application. For example, spacing between conductive stripes 20 can be the same as (the distance between stretchable interconnects) the width of the stretchable interconnects, shown in FIG. 1A. A conductive stripe can be formed in various patterns on the substrate. Conductive stripe 20 can be configured in conformance with overall interconnect geometry of a desired application. 0071 Conductive stripe 20 is formed of a similar material as conductive film 14. Conductive stripe 20 can be formed by evaporating conductive film 14 through shadow mask 22, as shown in FIGS. 5A-5B. Shadow mask 22 can be formed of a compliant material, such as polyimide, a metal foil, for example, of bronze. Alternatively, photolithography and lift-off patterning can be used to form stripes 20, as shown in FIGS. 7A-7B. Photolithography with a positive photoresist mask 24 is used to pattern stripe 20 after metal evaporation. The thickness of photoresist mask 24 can be less, comparable or larger than the thickness of conductive stripe 20. Suitable positive photoresists are AZ5216 and Riston (Dupont). After development of the photoresist, metal regions no longer covered by the photoresist are removed by wet or dry etching. For example, stripes 20 can have a width the same or less than about 1 mm. Alternatively, lift-off patterning is performed prior to evaporation using negative photoresist. Stripes 20 are released by chemical stripping of the resist mask after the metal evaporation. Shadow mask 22 can have a thickness in the range of about 50 m to about 1 mm which is one to six orders of magnitude thicker than the deposited conductor stripe. Shadow mask 22 is applied to substrate 16 prior to evaporation of conductive film 14 and is removed after evaporation of conductive film 14. 0072 Alternatively, shadow mask 22 can be formed of a rigid material, as shown in FIGS. 6A-6B. Suitable rigid material includes thick metal such as aluminum or bronze. Shadow mask 22 can have a thickness in the range of about 25 m to about 5 mm which is one to six orders of magnitude thicker than a thickness of stripe 20 providing a smaller resolution of a width of stripe 20. Shadow mask 23 is mounted on top or apart from substrate 16 prior to evaporation of conductive film 14 and is released or removed after evaporation of conductive film 14. 0073 In an aspect of the present invention, stripes 20 can have a wavy or buckled profile formed as compressed stripes. For example, FIG. 8 illustrates surface waves formed on a 0.25 mm wide stripe. 0074 In another aspect of the present invention, stretchable interconnect 10 is formed on substrate 16 which has been prepattemed, as shown in FIG. 9A-9C. Substrate 16 is prepattemed to form a plurality of waves 40 in top surface 42 of substrate 16. Conductive film 14 is applied to prepatterned substrate 16 with methods as described above. 0075 In another aspect of the present invention, stretchable interconnect 10 is formed by pre-stretching substrate 16 before application of conductive film 14, as shown in FIGS. 10A-10D. Substrate 16 is formed in FIG. 10A. Substrate 16 can be formed of a reversibly stretchable material, such as an elastomer. Substrate 16 is pre-stretched prior to evaporation by a predetermined pre-stretch percentage represented by X %, as shown in FIG. 10B. The pre-stretched percentage X % can be in the range of about 0.5% to about 500%, about 0.5% to about 50%, about 0.5% to about 100%. Conductive film 14 is applied to pre-stretched substrate 16 with techniques described above, as shown in FIG. 10C. After deposition of conductive film 14, substrate 16 is relaxed as shown in FIG. 10D. Stretchable interconnect 10 formed by this method has a wavy or buckled profile. 0076 Stretchable interconnect 10 can be stretched as shown in FIGS. 11-13. In FIG. 11A, stretchable interconnect 10 is formed by the method of FIGS. 2A-2B. It has been found that stretchable interconnect 10a can be stretched by up to at least 500%, 100%, 50% and retain electrical conduction, as shown in FIG. 11B. It has been found that stretchable interconnect 10a retains electrical conduction upon formation of microcracks in a surface conductive film 14 upon stretching. It is believed that a thin layer of the conductive material remains at the interface of the conductor material and substrate to provide a continuous layer even if the surface of the film is discontinuous. 0077 In FIG. 12A, stretchable interconnect 10 is formed by the method of FIGS. 3A-3B. Stretchable interconnect 10b can be stretched flat by stretching substrate 16 up to about 0.5%, as shown in FIG. 12B. Thereafter, stretchable interconnect 10b can be stretched up to an additional about 500%, 100%, 50% and retain electrical conductivity, as shown in FIG. 12C. 0078 In FIG. 13A, stretchable interconnect 10c is formed by the method of FIGS. 10A-10D. Stretchable interconnect 10c can be stretched less than the value of the prestretched percentage of X %, as shown in FIG. 13B. Thereafter, substrate 16 can be stretched to about the value of the pre-stretched percentage of X % to be stretched flat, as shown in FIG. 13C. Stretchable interconnect 10c can be further stretched a value several times greater than the pre-stretched percentage of X % and retain electrical conduction, as shown in FIG. 13D. For example, stretchable interconnect 10c can be stretched to a percentage from about 5 to about 50%, to about 100%, to about 500% and retain electrical conduction. 0079 In another aspect of the invention, stretchable interconnect 10 is formed as films or stripes which can be embedded within substrate 16, as shown in FIGS. 14A-14B. Films or stripes embedded within substrate 16 can have a flat or wavy profile. Openings 40 can be formed in substrate 16. Electrical contacts to electronic devices can access stretchable interconnect 10 through opening 40. 0080 In various embodiments of the present invention, a plurality of layers of conductive film 14 or stripe 20 are embedded between a plurality of layers of substrate 16. In one embodiment shown in FIG. 15A, stack of stretchable interconnects 50 is formed by embedding a plurality of layers of conductive film 14a-f within a plurality of layers of substrate 16a-16d, using a similar method as described for FIGS. 2A-2C. Conductive film 14a is applied to substrate 16a. Conductive film 14b is applied to conductive film 14a. Substrate 16b is applied to conductive film 14b. Conductive film 14c is applied to substrate 16b. Conductive film 14d is applied to conductive film 14c. Substrate 16c is applied to conductive film 14e. Substrate 16c is applied to conductive film 14d. Conductive film 14e is applied to substrate 16c. Conductive film 14f is applied to conductive film 14e. Substrate 16d is applied to conductive film 14f. 0081 Stack of stretchable interconnects 50 can be stretched as shown in FIG. 15B. Each of substrates 16a-16d and conductive films 14a-14f are stretched uniformly to provide a uniformly stretched stack of films. 0082 In an alternate embodiment, a plurality of layers of conductive film are embedded between a plurality of layers of substrate 16, as shown in FIGS. 16A-16C. Stack of stretchable interconnects 60 is formed by embedding a plurality of layers of conductive film 14a-14f within a plurality of layers of substrate 16a-16d using similar methods as described for FIGS. 3A-3B and FIGS. 10A-10D. In one aspect, layers of substrate 16a-16d can be pre-stretched to a pre-stretched percentage of X %. Conductive film 14a is applied to substrate 16a. Conductive film 14b is applied to conductive film 14a. Substrate 16b and 16c are applied to respective conductive film 14b and 14d. Conductive films 14c and 14e are applied to respective substrates 16b and 16c. Conductive films 14d and 14f are applied to respective conductive films 14c and 14e. Substrate 16d is applied to conductive film 14f. Stack of stretchable interconnects 60 has a wavy or buckled profile. 0083 In one embodiment, stack of thin films 60 is formed by embedding a plurality of layers stripes 20a-20f within a plurality of layers of substrate 16a-16d. Buckling or waves of stripes 20 can be induced by built-in compressive stress. 0084 Stack of stretchable interconnects 60 can be stretched to a value below the prestretched percentage X %, as shown in FIG. 16B. Stack of stretchable interconnects 60 can be stretched to a value greater than the pre-stretched percentage X % and each of substrates 16a-16d and conductive films 14a-14f are stretched uniformly to provide a uniformly stretched stack of films. 0085 In various embodiments, stretchable interconnects 10 formed as conductive stripes 20 can be formed in different directions on substrate 16, as shown for example in FIGS. 1A-1B. Alternatively, stretchable interconnects 10 formed as conductive stripes 20 can be embedded within substrate 16 as a single layer or in a plurality of layers. In other embodiments, stretchable interconnects can be formed of conductive films 14 or conductive stripes 20 and can be oriented in X, Y and Z directions on substrate 16 or embedded within substrate 16, as shown in FIG. 17. 0086 The invention can be further illustrated by the following examples thereof, although it will be understood that these examples are included merely for purposes of illustration and are not intended to limit the scope of the invention unless otherwise specifically indicated. All percentages, ratios, and parts herein, in the Specification, Examples, and Claims, are by weight and are approximations unless otherwise stated.

EXAMPLES

Preparation of Substrates 0087 1. Elastomer substrates were prepared by mixing a polymer base with curing agents in a controlled weight ratio. Sylgard 184 silicone elastomer was used as a compliant substrate. The controlled weight ratio was 10:1 for the Sylgard 186 silicone rubber. Substrates about 0.5 mm to 1 mm thick were prepared in a dish and cured several hours in a controlled temperature oven. The curing time and temperature depend on the polymer. The Sylgard 184 substrates used were 1-mm thick and were cured at 60 C. for at least 12 hours after de-airing. 0088 2. Thin elastomer substrates tens of a micrometer thick can be prepared by spin casting onto a rigid holder, such as a glass slide or a silicon wafer and cured afterwards. Thin elastomer substrates can also be prepared by pre-stretching millimeter thick elastomer films. 0089 3. Plastic substrates are commercially available in a wide range of thicknesses.

Preparation of Conductive Film 0090 A conductive film of a metallic bi-layer of chromium (Cr) and gold (Au) was prepared by e-beam evaporation in a Denton/DV-502A evaporator. The base pressure in the chamber was 4106 torr prior to the evaporation and 8106 torr during evaporation. The Au deposition rate was 2 /s. The temperature of the sample holder does not exceed 50 C. during the metal evaporation. In a single run, a 5 nm thick bonding layer of chromium and then a layer of Au were evaporated onto the substrate. Different Au film thicknesses were selected in the 25-100 nm range. It was found that a layer of Au thicker than 100 nm was not stretchable.

Results 0091 1. Stretching of Conductive Film 0092 Electrical resistance of stretchable interconnect 10 while under mechanical strain was evaluated. Electrical contact of conducting epoxy paste were applied, and 0.1 mm diameter gold wires were embedded in the paste. The paste burying the wires was sandwiched between substrate 16 formed of PDMS and applied conductive stripe 20 and a second piece of PDMS to ensure electrical connection as well as mechanical compliance. A sample is shown in FIG. 18 mounted under a microscope in a strain tester and with electrical leads. Conductive stripe 20 was formed of Au and is 100 nm thick, 28 mm long and 0.25 mm wide. The electrical resistance as a function of uniaxial strain was measured in situ using a Keithley 4210 source meter. The lengthening of the sample and eventual development of cracks in the Au stripe were recorded with an Infinity Long Distance K2 microscope, a Kodak digital camera, and an XYZ translation platform. The elongation was measured with a 1 m resolution Mitutoyo meter. From this elongation LL0, the values of externally applied strain external(LL0)L0 are calculated from the difference of the sample length, L to its unstressed length, L0. The electrical resistance was first measured without external strain. Then the sample was elongated, first in 0.18% steps of X % and beyond X %6% in 0.36% steps, and was held for 5 minutes at each strain value. FIG. 19 presents the change in electrical resistance (RR0)/R0 normalized to its initial value as shown in curve 80 with applied tensile strain. Curve 82 represents the linear behavior of (RR0)/R0 for strain lower than 8%. 0093 After mounting in the test frame and in the absence of externally applied strain, the Au stripe of FIG. 19 was buckled as shown in FIG. 8. The surface of the sample became flat after the first two 0.18% steps0.36% external strain were applied; it was free of cracks. Because the calculated critical strain c is only 0.015%, the initial compressive strain in the gold film 0 is near 0.36%. 0094 Resistance under tension was measured. It was expected to reach a maximum value of tensile strain in the electrically continuous film of 1%. FIG. 19 shows that, surprisingly, the Au line remains conducting under external much above this typical fracture strain of a free-standing thin film. FIG. 19 exhibits two regimes. At strains lower that 8% (RR0)/R0 is proportional to elongation. In this regime small cracks appear at the edges of the stripe as shown in FIG. 20A. FIG. 20A is a photograph of a 100 nm Au stripe on a 1 mm thick substrate of PDMS at a 8% tensile strain. At higher strain cracks extend across much of the width of the stripe, perpendicular to its long dimension and visible in FIG. 20B. FIG. 20B is a photograph of a 100 nm Au stripe on a 1 mm thick substrate of PDMS at a 16% tensile strain. These longer cracks cause a pronounced rise of the electrical resistance. At strains above 15%, these cracks traverse the full width of the Au line. It has been found that while the electrical resistance rises drastically, it remains finite. This observation suggests that the film is broken, but that a thin conductive layer remains at the bottom of the cracks. From the crack dimensions it is estimated that this conducting remnant layer is one metal atom thick. At external23% the resistance became infinite. 0095 2. Bending of Conductive Film 0096 Five samples were prepared on a 1-mm thick PDMS substrate with thickness from 25 to 400 nm, in accordance with the technique of FIGS. 2A-2C. All Au layers are flat. 0097 The initial electrical resistance R0 was measured for each film before deformation. All samples conduct but their resistance is higher than the value Rth calculated from the dimension of the Au stripes by at least one order of magnitude. The surface topography was analyzed by scanning electron micrographs (SEM). FIG. 21 shows the surface of a 100 nm thick Au sample. It is shown that the Au layer, which appeared smooth under the optical microscope contains a network of tiny cracks. Each crack is Y-shaped, about 1 m long and 50 to 100 nm wide. It is shown that the cracks are not connected to each other. The micro-cracks appear immediately after the gold evaporation and are found on all samples. The high initial resistance values can be a result of the presence of the micro-cracks running in the Au film. The cracks increase the electrical length of the line and shrink the layer cross section. 0098 The electrical resistance of the Au line was recorded as a function of bending strain with the following protocol: each sample placed on a curved tube section for 30 min and its resistance is measured, then the sample is laid flat for another 30 min and its resistance is recorded. Then the sample is placed on a tube with a smaller radius for larger strain. The results for three Au thicknesses of 25 nm, 50 nm and 100 nm are shown in FIG. 22 as the sheet resistance Rs in / is plotted versus the strain induced by bending. 0099 It was found that in Au films thicker than 100 nm at tensile strain higher than 1%, transversal cracks formed across the sample and cut the electrical path. Samples thinner than 100 nm remained electrically conducting for strains much beyond the typical fracture strain of thin metal film of 1%. 25 and 50 nm thick samples remained conducting at strain of up to 12%. It was found that in all cases, the resistance increases linearly with strain. 0100 FIG. 23 shows a portion of the 100 nm thick sample after 4% tensile deformation. It is shown that large cracks appear during bending. The large cracks are hundreds of m long and form perpendicularly to the straining direction. The small cracks described above remain. During elongation, some of the small cracks are observed to merge and propagate but do not extent over the entire width. The electrical resistance remains finite. 0101 Between each tensile deformation, the Au stripe is let to relax for 30 min while flat. The flat electrical resistance is then recorded. It was found that less than 5% scatter, except for the 25-nm thick sample. During relaxation, the elastic PDMS substrate pulls the cracks close, and film fragments at the edges of the cracks tend to overlap. The electrical resistance recovers a value close to its initial one. Accordingly, the response of electrical resistance to tensile deformation is reversible. 0102 It is to be understood that the above-described embodiments are illustrative of only a few of the many possible specific embodiments which can represent application so the principles of the invention. Numerous and varied other arrangements can be readily devised in accordance with these principles by those skilled in the art without departing from the spirit and scope of the invention.