Abstract
This chapter considers a problem of elastoplastic torsion of composite material with Hencky law and imperfect interfacial bonding. Existence and uniqueness of a solution is discussed. As a particular example, elastoplastic torsion of a cylindrical bar is considered. The problem is discretized by the finite element method into a convex problem. This is solved by the sequential quadratic programming method using a dual active set method that takes into account the sparsity structure of the problem. Numerical examples are given for the square and circular inclusion in the circular and square matrix.
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