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- W2076814886 abstract "Abstract The problem of the interaction between a stamp and an elastic-plastic body for a non-proportional change in the given loads and taking the contact area indeterminacy into account, is considered. It is assumed that the material properties are described by differential-linear or differential-non-linear relationships between the stress rates and the strain rates encompassing a fairly broad group of the theory of plasticity. It is shown that the initial problem in a generalized formulation is equivalent to a certain quasivariational inequality in the displacement velocities. By using a formulation in the form of a quasivariational inequality, existence conditions are studied for the solution, and a numerical method of investigation is proposed and verified. Note that the method of integral equations, utilized extensively in the theory of elasticity, can be applied successfully only to certain special classes of contact problems of the theory of plasticity /1, 2/. Research on general questions of the theory of contact problems for elastic-plastic bodies refers to individual plasticity models /3–6/, and the numerical methods that have received extensive development are applied to contact problems under complex loading by using heuristic algorithms /7–9/ that require additional investigation and verification." @default.
- W2076814886 created "2016-06-24" @default.
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- W2076814886 date "1984-01-01" @default.
- W2076814886 modified "2023-09-26" @default.
- W2076814886 title "Contact problems of the theory of plasticity for complex loading" @default.
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- W2076814886 doi "https://doi.org/10.1016/0021-8928(84)90143-6" @default.
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