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Finite plasticity in \(P^\top P\). I: Constitutive model (Q2359101)

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

Statements

scholarly article

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

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Ulisse Stefanelli

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Continuum Mechanics and Thermodynamics

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publication date

27 June 2017

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zbMATH Keywords

finite-strain plasticity

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Cauchy-Green strains

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constitutive model

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quasistatic evolution

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energetic solutions

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small-deformation limit

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describes a project that uses

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1007/s00161-016-0522-1

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Convexity conditions and existence theorems in nonlinear elasticity

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Some Open Problems in Elasticity

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A Remark on the Use of the Decomposition F = FeFp in Plasticity

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The thermodynamics of elastic materials with heat conduction and viscosity

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A Critical Revisiting of Finite Elasto-Plasticity

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On the theoretical and numerical modelling of Armstrong-Frederick kinematic hardening in the finite strain regime.

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A hyperelastic-based large strain elasto-plastic constitutive formulation with combined isotropic-kinematic hardening using the logarithmic stress and strain measures

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Phenomenological 3D and 1D consistent models for shape-memory alloy materials

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A 3D SMA constitutive model in the framework of finite strain

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

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A reformulation of strain gradient plasticity.

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Existence and time-discretization for the finite-strain Souza-Auricchio constitutive model for shape-memory alloys

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

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Some remarks on elastic-plastic deformation at finite strain

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An introduction to continuum mechanics

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Plasticity. Mathematical theory and numerical analysis

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Equivalent spatial and material descriptions of finite deformation elastoplasticity in principal axes

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Finite elastoplastic deformations of space-curved membranes

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Allgemeine Kontinuumstheorie der Versetzungen und Eigenspannungen

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Elastic-Plastic Deformation at Finite Strains

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Large strain constitutive modelling and computation for isotropic, creep elastoplastic damage solids

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A physically based method to represent the thermo-mechanical behaviour of elastomers

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Duality in constitutive formulation of finite-strain elastoplasticity based on \({\mathbf F}={\mathbf F}_e{\mathbf F}_p\) and \({\mathbf F}={\mathbf F}^p{\mathbf F}^e\) decompositions

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Global existence for rate-independent gradient plasticity at finite strain

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A theory of large-strain isotropic thermoplasticity based on metric transformation tensors

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A theoretical and computational model for isotropic elastoplastic stress analysis in shells at large strains

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Finite Elastoplasticity Lie Groups and Geodesics on SL(d)

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Existence of Minimizers in Incremental Elasto-Plasticity with Finite Strains

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Lower semicontinuity and existence of minimizers in incremental finite‐strain elastoplasticity

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BV solutions and viscosity approximations of rate-independent systems

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Balanced viscosity (BV) solutions to infinite-dimensional rate-independent systems

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Rate-independent systems. Theory and application

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\(\Gamma\)-limits and relaxations for rate-independent evolutionary problems

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Linearized plasticity is the evolutionary \(\Gamma\)-limit of finite plasticity

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On rate-independent hysteresis models

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A variational principle for gradient plasticity

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A critical review of the state of finite plasticity

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Local existence and uniqueness for quasistatic finite plasticity with grain boundary relaxation

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NOTES ON STRAIN GRADIENT PLASTICITY: FINITE STRAIN COVARIANT MODELLING AND GLOBAL EXISTENCE IN THE INFINITESIMAL RATE-INDEPENDENT CASE

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Geometry of logarithmic strain measures in solid mechanics

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Decomposition of strain measures and their rates in finite deformation elastoplasticity

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A model for finite strain elasto-plasticity based on logarithmic strains: Computational issues

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Kinematic description of crystal plasticity in the finite kinematic framework: A micromechanical understanding of \(\mathbf F=\mathbf F^e\mathbf F^p\)

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Derivation of \(\mathbf{F} = \mathbf{F}^{\operatorname{e}} \mathbf{F}^{\operatorname{p}}\) as the continuum limit of crystalline slip

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Maximally-dissipative local solutions to rate-independent systems and application to damage and delamination problems

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Computational inelasticity

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A variational characterization of rate-independent evolution

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Comparison of different finite deformation inelastic damage models within multiplicative elastoplasticity for ductile materials

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On the modelling of non‐linear kinematic hardening at finite strains with application to springback—Comparison of time integration algorithms

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Finite deformation constitutive equations and a time integration procedure for isotropic, hyperelastic-viscoplastic solids

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Identifiers

zbMATH Open document ID

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10.1007/s00161-016-0522-1

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:2359101

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