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Elastoplasticity of gradient-polyconvex materials (Q2046493)

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Language	Label	Description	Also known as
English	Elastoplasticity of gradient-polyconvex materials	scientific article

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scholarly article

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Elastoplasticity of gradient-polyconvex materials (English)

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Martin Kružík

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ZAMP. Zeitschrift für angewandte Mathematik und Physik

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publication date

18 August 2021

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full work available at URL

https://arxiv.org/abs/2012.15325

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zbMATH Keywords

elastoplasticity

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energetic solution

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gradient polyconvexity

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rate-independent model

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MaRDI profile type

MaRDI publication profile

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Convexity conditions and existence theorems in nonlinear elasticity

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Null Lagrangians, weak continuity, and variational problems of arbitrary order

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Weak Lower Semicontinuity of Integral Functionals and Applications

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A note on locking materials and gradient polyconvexity

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Continua with latent microstructure

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Non–convex potentials and microstructures in finite–strain plasticity

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Direct methods in the calculus of variations

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Quasistatic crack growth in nonlinear elasticity

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A Critical Revisiting of Finite Elasto-Plasticity

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Generalized Hooke's law for isotropic second gradient materials

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Coarse-grained models of materials with non-convex free-energy: two case studies

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A strain gradient theory of plasticity

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Existence result for a dislocation based model of single crystal gradient plasticity with isotropic or linear kinematic hardening

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Finite-deformation second-order micromorphic theory and its relations to strain and stress gradient models

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A case study for uniqueness of elasto-plastic evolutions: the bi-axial test

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Existence results for a class of rate-independent material models with nonconvex elastic energies

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Quasi-static Evolution for a Model in Strain Gradient Plasticity

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Finite plasticity in \(P^\top P\). I: Constitutive model

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Finite Plasticity in $P^\top\!P$. Part II: Quasi-Static Evolution and Linearization

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Multipolar continuum mechanics

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On the plasticity of single crystals: Free energy, microforces, plastic-strain gradients

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A theory of strain-gradient plasticity for isotropic, plastically irrotational materials. I: small deformations

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Plasticity. Mathematical theory and numerical analysis

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A VARIATIONAL PRINCIPLE OF MAXIMUM PLASTIC WORK IN CLASSICAL PLASTICITY

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Quasistatic evolution for dislocation-free finite plasticity

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Gradient polyconvexity in evolutionary models of shape-memory alloys

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Mathematical Methods in Continuum Mechanics of Solids

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A model of shape memory alloys taking into account plasticity

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Existence results for energetic models for rate-independent systems

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Global existence for rate-independent gradient plasticity at finite strain

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Finite Elastoplasticity Lie Groups and Geodesics on SL(d)

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Energetic formulation of multiplicative elasto-plasticity using dissipation distances

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A Rate-Independent Model for Inelastic Behavior of Shape-Memory Alloys

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Rate-independent systems. Theory and application

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Rate-independent elastoplasticity at finite strains and its numerical approximation

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A variational formulation of rate-independent phase transformations using an extremum principle

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A variational principle for gradient plasticity

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Nonconvex energy minimization and dislocation structures in ductile single crystals

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Contact interactions, stress and material symmetry

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On the maximal monotonicity of subdifferential mappings

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A framework for finite strain elastoplasticity based on maximum plastic dissipation and the multiplicative decomposition. I: Continuum formulation

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A framework for finite strain elastoplasticity based on maximum plastic dissipation and the multiplicative decomposition. II: Computational aspects

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Elastic materials with couple-stresses

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Theories of elasticity with couple-stress

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Identifiers

zbMATH Open document ID

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Mathematics Subject Classification ID

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zbMATH DE Number

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10.1007/S00033-021-01603-W

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Sitelinks

Mathematics(1 entry)

mardi Publication:2046493

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