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.
All Science Journal Classification (ASJC) codes
- Civil and Structural Engineering
- Materials Science(all)
- Condensed Matter Physics
- Mechanics of Materials
- Mechanical Engineering