Microstructure Development in Standard Dissipative Solids Based on Energy Minimization (Q3603883)

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English	Microstructure Development in Standard Dissipative Solids Based on Energy Minimization	scientific article

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title

Microstructure Development in Standard Dissipative Solids Based on Energy Minimization (English)

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24 February 2009

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zbMATH Keywords

internal variable formulation

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incremental stress potential

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relaxation methods

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convexification

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1002/gamm.201490032

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cites work

Non–convex potentials and microstructures in finite–strain plasticity

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Energy relaxation of non-convex incremental stress potentials in a strain-softening elastic--plastic bar.

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Strain-driven homogenization of inelastic microstructures and composites based on an incremental variational formulation

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Computational micro-to-macro transitions for discretized micro-structures of heterogeneous materials at finite strains based on the minimization of averaged incremental energy.

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Anisotropic additive plasticity in the logarithmic strain space: Modular kinematic formulation and implementation based on incremental minimization principles for standard materials.

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Analysis of microstructure development in shearbands by energy relaxation of incremental stress potentials: Large-strain theory for standard dissipative solids

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A two-scale finite element relaxation analysis of shear bands in non-convex inelastic solids: Small-strain theory for standard dissipative materials.

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Analysis of material instabilities in inelastic solids by incremental energy minimization and relaxation methods: evolving deformation microstructures in finite plasticity

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Homogenization of inelastic solid materials at finite strains based on incremental minimization principles. Application to the texture analysis of polycrystals.

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Computational homogenization analysis in finite elasticity: material and structural instabilities on the micro- and macro-scales of periodic composites and their interaction.

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Computational homogenization analysis in finite plasticity. Simulation of texture development in polycrystalline materials

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Q4105330

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Quasi-convexity and the lower semicontinuity of multiple integrals

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Homogenization of nonconvex integral functionals and cellular elastic materials

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Q4834168

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Nonconvex energy minimization and dislocation structures in ductile single crystals

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A theory of subgrain dislocation structures

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The variational formulation of viscoplastic constitutive updates

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Identifiers

zbMATH Open document ID

1158.74010

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Mathematics Subject Classification ID

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10.1002/GAMM.201490032

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Mathematics(1 entry)

mardi Publication:3603883