Vector hysteresis models
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Publication:4005784
DOI10.1017/S0956792500000541zbMath0754.73015OpenAlexW2013728521MaRDI QIDQ4005784
Publication date: 27 September 1992
Published in: European Journal of Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1017/s0956792500000541
Plastic materials, materials of stress-rate and internal-variable type (74C99) Theory of constitutive functions in solid mechanics (74A20) Elastic materials (74B99)
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Modelling of singularities in elastoplastic materials with fatigue ⋮ Explicit and implicit non-convex sweeping processes in the space of absolutely continuous functions ⋮ Differential equations with hysteresis operators. existence of solutions, stability, and oscillations ⋮ \(BV\)-norm continuity of sweeping processes driven by a set with constant shape ⋮ On a system of nonlinear PDEs with temperature-dependent hysteresis in one-dimensional thermoplasticity ⋮ Sweeping processes with prescribed behavior on jumps ⋮ Optimal control problems with states of bounded variation and hysteresis ⋮ Optimal control of the sweeping process over polyhedral controlled sets ⋮ Continuity of the non-convex play operator in the space of rectifiable curves. ⋮ Comparison of the solutions of the elastic and elastoplastic boundary value problems ⋮ Convex sweeping process in the framework of measure differential inclusions and evolution variational inequalities ⋮ Local Lipschitz continuity of the stop operator ⋮ Wellposedness of kinematic hardening models in elastoplasticity ⋮ Discrete approximations of a controlled sweeping process ⋮ The stop operator related to a convex polyhedron ⋮ Non-convex sweeping processes in the space of regulated functions
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