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A large time increment approach for cyclic viscoplasticity. (English) Zbl 0772.73028

Summary: The principles of a new approach for cyclic viscoplastic problems are described. A computational method of dealing with nonlinear mechanical behaviours, described by internal variables, is presented. This approach contrasts with the classical step-by-step method, since it is an iterative procedure that accounts for the whole loading process in a single time increment. Special tools have been developed to simulate, within the large time increment method, several hundred cycles in a single increment. The feasibility of this strategy is shown through simple examples, with a large number of cycles in the case of viscoplastic behaviour.

MSC:

74C10 Small-strain, rate-dependent theories of plasticity (including theories of viscoplasticity)
74S30 Other numerical methods in solid mechanics (MSC2010)
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