The incremental normal compliance of a contact of “irregular” (non-elliptical) shape between two elastic half spaces is considered. The contact is modeled as external crack. An approximate expression for the stress intensity factor (SIFs) around its boundary, in conjunction with Rice (1975) theorem that interrelates SIFs and crack compliances, are used to evaluate the crack compliance. The results cover a broad class of contact shapes, including – but not limited to - all convex ones. Bounds, similar to Hill's comparison theorem in micromechanics, are formulated for the compliances of contacts. The cross-property elasticity-conductivity relation yields similar results for contact conductance. The methodology is illustrated on several examples.

考虑了两个弹性半空间之间“不规则”（非椭圆）形状的接触的法向增量。接触被建模为外部裂纹。围绕其边界的应力强度因子（SIF）的近似表达式，结合莱斯（Rice）（1975）定理，将SIF和裂纹柔度相互关联，用于评估裂纹柔度。结果涵盖了广泛的接触形状，包括但不限于所有凸形。类似于希尔在微力学中的比较定理，为接触的顺应性制定了边界。跨属性的弹性-电导率关系对于接触电导率产生相似的结果。在几个示例中说明了该方法。