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On quasistatic inelastic models of gradient type with convex composite constitutive equations

Krzysztof Chełmiński (2003)

Open Mathematics

This article defines and presents the mathematical analysis of a new class of models from the theory of inelastic deformations of metals. This new class, containing so called convex composite models, enlarges the class containing monotone models of gradient type defined in [1]. This paper starts to establish the existence theory for models from this new class; we restrict our investigations to the coercive and linear self-controlling case.

On the two-step iterative method of solving frictional contact problems in elasticity

Todor Angelov, Asterios Liolios (2005)

International Journal of Applied Mathematics and Computer Science

A class of contact problems with friction in elastostatics is considered. Under a certain restriction on the friction coefficient, the convergence of the two-step iterative method proposed by P.D. Panagiotopoulos is proved. Its applicability is discussed and compared with two other iterative methods, and the computed results are presented.

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