On the maximum friction law for rigid/plastic, hardening materials. (English) Zbl 1022.74030

Alexandrov, S.; Alexandrova, N.

Meccanica 35, No. 5, 393-398 (2000).

Summary: For a rigid/plastic hardening material model, we show that the velocity fields adjacent to surfaces of maximum friction must satisfy the sticking condition. This means that the stress boundary condition, the maximum friction law, may be replaced by the velocity boundary condition. Axisymmetric flows without rotation and plane flows are considered.

MSC:

74M10	Friction in solid mechanics
74C05	Small-strain, rate-independent theories of plasticity (including rigid-plastic and elasto-plastic materials)

Keywords:

axisymmetric flows; rigid/plastic hardening material; surfaces of maximum friction; sticking condition; stress boundary condition; maximum friction law; velocity boundary condition; plane flows