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• W2100025012 abstract "A mathematical model for a finite–strain elastoplastic evolution problem is proposed in which one time–step of an implicit time–discretization leads to generally non–convex minimization problems. The elimination of all internal variables enables a mathematical and numerical analysis of a reduced problem within the general framework of calculus of variations and nonlinear partial differential equations. The results for a single slip–system and von Mises plasticity illustrate that finite–strain elastoplasticity generates reduced problems with non–quasiconvex energy densities and so allows for non–attainment of energy minimizers and microstructures." @default.
• W2100025012 created "2016-06-24" @default.
• W2100025012 creator A5036808184 @default.
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• W2100025012 date "2001-12-19" @default.
• W2100025012 modified "2023-10-18" @default.
• W2100025012 title "Non–convex potentials and microstructures in finite–strain plasticity" @default.
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• W2100025012 doi "https://doi.org/10.1098/rspa.2001.0864" @default.
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