A family of model problems in plasticity

作者: Gilbert Strang

DOI: 10.1007/BFB0063627

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摘要: We look for the simplest configuration which will lead to problems most characteristic of plasticity—the contrast between incremental flow laws and deformation theory, collapse a perfectly plastic structure its continued stresses strains when hardening is allowed. The are be continuous rather than discrete, not one-dimensional; they governed by linear partial differential equations with inequality constraints. Each has primal form in unknowns, dual terms velocities or displacements. Our main goal clarify these different possibilities, case known as antiplane shear.

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