Abstract Wedging is a contact phenomenon in which slip displacement persists after the complete removal of the external loading on the system. As no positive spanning sets exist in non-wedged systems, a suitable algorithm is proposed for determining the critical coefficient of friction for wedging. The objective of the algorithm is to determine successive positive bases as the friction coefficient gradually increases, until all the bases are exhausted; therefore, the algorithm determines the critical coefficient of friction for unilateral contact wedging. The algorithm is validated using several examples in the framework of the method of finite elements, which yields the critical wedging coefficient and the corresponding wedge state.

中文翻译：

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使用正跨度确定全接触摩擦系统的临界楔入系数

摘要 楔入是一种接触现象，在系统完全去除外部载荷后，滑动位移仍然存在。由于在非楔形系统中不存在正跨越集，因此提出了一种合适的算法来确定楔形的临界摩擦系数。该算法的目标是随着摩擦系数逐渐增加，确定连续的正碱基，直到所有的碱基都被耗尽；因此，该算法确定了单边接触楔形的临界摩擦系数。该算法在有限元方法的框架内通过几个例子进行验证，得到临界楔入系数和相应的楔入状态。