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The method involves the relaxation of variational incremental problems which are derived from an elastic and a plastic potential.
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RescueMe provides two methods for solving an incremental problem generated when using pedometry.
Conditions for existence of solutions to the incremental problem are discussed and compared with the isothermal case.
The update algorithm for the incremental problem is discussed in detail, and two simple examples are given.
Also, the study [5] of Martinez and Quintanilla is devoted to study the incremental problem in the thermoelastic theory of nonsimple elastic materials.
In this paper is proposed a new approach which essentially consists in reformulating the non-linear incremental problem as a linear complementarity problem.
The basis of the approach is the formulation of the incremental problem as a convex parametric quadratic programming (PQP) problem between two successive plastic hinges.
It has been shown that the use of the consistent tangent moduli is crucial for preserving the quadratic convergence rate of the global Newton iterations in the solution of the incremental problem.
The numerical procedure is based on an incremental problem formulation and on a double discretization, in space by the finite element method and in time by the Wilson-ϑ method.
This approach is strongly linked to an associated time-incremental problem which is a minimization problem of the type used for several years now in the engineering literature.
An incremental inverse problem approach proposed by the present author is taken full advantage of.
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