Stretchable electronics are of huge interest as they can be useful in various irregular non-planar or deformable surfaces including human bodies. High density multi-functional stretchable electronics are beneficial as they can be reliably used in more compact regions. However, simply stacking multiple layers may increase induced strain, reducing degree of stretchability. Here, we present the design approach for the stretchable multilayer electronics that provide a similar degree of stretchability compare to a single layer electronics although the multilayer electronics are in much more compact form. We provide experimental and computational analyses for the benefits of the approach along with demonstrations with compact form of the multi-functional stretchable implantable bio-electronics and of the stretchable multilayer passive matrix LEDs array. The results presented here should be useful for a wide range of applications that require stretchable high-density electronics.

可拉伸电子器件引起了人们极大的兴趣，因为它们可用于各种不规则的非平面或可变形表面，包括人体。高密度多功能可拉伸电子产品是有益的，因为它们可以可靠地用于更紧凑的区域。然而，简单地堆叠多层可能会增加诱导应变，从而降低拉伸程度。在这里，我们提出了可拉伸多层电子器件的设计方法，尽管多层电子器件的形式更加紧凑，但与单层电子器件相比，该方法提供了相似程度的拉伸性。我们对该方法的优点进行了实验和计算分析，并以紧凑形式演示了多功能可拉伸植入式生物电子器件和可拉伸多层无源矩阵 LED 阵列。这里提出的结果应该对需要可拉伸高密度电子器件的广泛应用有用。