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Elastoplasticity beyond small deformations (Q2501286)

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Language	Label	Description	Also known as
English	Elastoplasticity beyond small deformations	scientific article

Statements

scholarly article

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Elastoplasticity beyond small deformations (English)

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Otto Timme Bruhns

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Albert Thomas Marie Meyers

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publication date

4 September 2006

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zbMATH Keywords

geometrical compatibility

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Kirchhoff stress

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objective Eulerian rate constitutive relations

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1007/s00707-005-0282-7

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The theory of elastic-plastic deformation at finite strain with induced anisotropy modeled as combined isotropic-kinematic hardening

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The physics of plastic deformation

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On H. Hencky’s Approximate Strain-Energy Function for Moderate Deformations

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Constitutive equations for hot-working of metals

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Die Reduktion von nichteuklidischen geometrischen Objekten in eine euklidische Form und physikalische Deutung der Reduktion durch Eigenspannungszustände in Kristallen

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Die Theorie der Disklinationen

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Die Theorie der nichtmetrischen Spannungen in Kristallen. (The theory of non-metric stresses in crystals)

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Crystal Plasticity

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On constitutive relations at finite strain: Hypo-elasticity and elasto- plasticity with isotropic or kinematic hardening

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An alternative approach to finite plasticity based on material isomorphisms

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Finite thermoplasticity based on isomorphisms.

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Zur Formulierung von Stoffgesetzen der Plastomechanik im Dehnungsraum nach Ilyushins Postulat

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Theory of Stress-Strain Relations in Anisotropic Viscoelasticity and Relaxation Phenomena

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The evolution of Hooke's law due to texture development in FCC polycrystals.

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Bending of an elastoplastic strip with isotropic and kinematic hardening

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On non–corotational rates of Oldroyd's type and relevant issues in rate constitutive formulations

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Self-consistent Eulerian rate type elasto-plasticity models based upon the logarithmic stress rate.

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Constitutive inequalities for an isotropic elastic strain-energy function based on Hencky's logarithmic strain tensor

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Large simple shear and torsion problems in kinematic hardening elasto-plasticity with logarithmic rate

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A self-consistent Eulerian rate type model for finite deformation elastoplasticity with isotropic damage

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Finite bending of a rectangular block of an elastic Hencky material

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Some basic issues in traditional Eulerian formulations of finite elastoplasticity.

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A weakened form of Ilyushin's postulate and the structure of self-consistent Eulerian finite elastoplasticity

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A Rate-Independent Constitutive Theory for Finite Inelastic Deformation

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Non–convex potentials and microstructures in finite–strain plasticity

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

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On the Characterization of Strain-Hardening in Plasticity

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A remark on the definition of hardening, softening and perfectly plastic behavior

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FURTHER CONSTITUTIVE RESULTS IN FINITE PLASTICITY

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A constitutive restriction related to convexity of yield surfaces in plasticity

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A multiscale multiplicative decomposition for elastoplasticity of polycrystals.

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Modeling of large simple shear using a viscoplastic overstress model and classical plasticity model with different objective stress rates

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Modeling of the monotonic and cyclic Swift effects using an isotropic, finite viscoplasticity theory based on overstress (FVBO)

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Rivlin's representation formula is ill-conceived for the determination of response functions via biaxial testing

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An invariant basis for natural strain which yields orthogonal stress response terms in isotropic hyperelasticity

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Il'iushin's postulate and resulting thermodynamic conditions on elasto- plastic coupling

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Corotational Rates for Kinematic Hardening at Large Plastic Deformations

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The Plastic Spin

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Issues on the constitutive formulation at large elastoplastic deformations. I: Kinematics

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Issues on the constitutive formulation at large elastoplastic deformations. II: Kinetics

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Plastic spin: Necessity or redundancy?

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A finite strain work-hardening theory for rate independent elasto- plasticity

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Invariance Considerations in Large Strain Elasto-Plasticity

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Elastic shadow flow and its theoretical implications for inelastic solids

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On the analysis of rotation and stress rate in deforming bodies

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The Thermodynamics of Irreversible Processes. IV. The Theory of Elasticity and Anelasticity

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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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ON THE CONTINUUM THEORIES OF DISLOCATIONS AND PLASTICITY

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Constitutive equations for elastic-plastic materials at finite strain

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Continuum Thermodynamics

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Micromechanical and thermodynamic aspects of the plastic spin

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A general theory of an elastic-plastic continuum

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Some remarks on elastic-plastic deformation at finite strain

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On the relationship between the logarithmic strain rate and the stretching tensor

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Generalized standard media and variational principles in classical and finite strain elastoplasticity

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On the loading criterion

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On the concept of an intermediate configuration and its application to a representation of viscoelastic-plastic material behavior

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On kinematic hardening and large plastic deformations

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On the application of dual variables in continuum mechanics

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The logarithmic strain space description

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A theory of the yielding and plastic flow of anisotropic metals

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A VARIATIONAL PRINCIPLE OF MAXIMUM PLASTIC WORK IN CLASSICAL PLASTICITY

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A general theory of uniqueness and stability in elastic-plastic solids

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Some basic principles in the mechanics of solids without a natural time

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On constitutive inequalities for simple materials. I

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Aspects of Invariance in Solid Mechanics

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Elastic Potentials and the Structure of Inelastic Constitutive Laws

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The material time derivative of logarithmic strain

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The stress conjugate to logarithmic strain

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A discussion of stress rates in finite deformation problems

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Studies of finite element procedures—Stress solution of a closed elastic strain path with stretching and shearing using the updated Lagrangian Jaumann formulation

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On a finite strain theory of elastic-inelastic materials

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A theory of inelastic behavior of materials. Part II: Inelastic materials

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On the interaction of rate and history dependence in structural metals

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Allgemeine Kontinuumstheorie der Versetzungen und Eigenspannungen

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Roles of plastic spin in shear banding

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Constitutive equations for elastoplastic bodies at finite strain: Thermodynamic implementation

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Some comments on elastic-plastic analysis

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Stress Analysis for Anisotropic Hardening in Finite-Deformation Plasticity

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Concerning elastic and plastic components of deformation

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Einige Betrachtungen zu den Grundlagen der Umformtechnik

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Anisotrope plastische Formänderungen

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Einige Bemerkungen zu einer allgemeinen Klasse von Stoffgesetzen f�r gro�e elasto-plastische Form�nderungen

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Einige Betrachtungen zur Thermodynamik großer elasto-plastischer Formänderungen

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On the concept of stress-strain relations in plasticity

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Some remarks on the decomposition of deformations and mechanical work

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NECESSARY AND SUFFICIENT CONDITIONS FOR THE VALIDITY OF A WORK INEQUALITY IN FINITE PLASTICITY

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Numerical study of consistency of rate constitutive equations with elasticity at finite deformation

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Hypoelasticity‐based analytical stress solutions in the simple shearing process

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On a finite strain viscoplastic theory based on a new internal dissipation inequality

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A finite elastic-viscoelastic-elastoplastic material law with damage: theoretical and numerical aspects.

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Lie symmetries of finite strain elastic-perfectly plastic models and exactly consistent schemes for numerical integrations

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Non-oscillation criteria for hypoelastic models under simple shear deformation

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Using comparison theorem to compare corotational stress rates in the model of perfect elastoplasticity

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Some aspects of elasto-plastic constitutive analysis of elastically anisotropic materials

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A Correct Definition of Elastic and Plastic Deformation and Its Computational Significance

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Plastic Spin and Related Issues in Phenomenological Plasticity

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On the thermodynamic foundations of non-linear solid mechanics

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On the structure of the rate equations of materials with internal variables

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A maximum-dissipation principle in generalized plasticity

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Materials with elastic range: A theory with a view toward applications. III: Approximate constitutive relations

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Materials with elastic range and plastic change of volume

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Materials with elastic range: A theory with a view toward applications. II

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Equations constitutives et directeurs dans les milieux plastiques et viscoplastiques

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Sur la définition de la vitesse de déformation élastique et sa rélation avec la vitesse de contrainte

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Geometry and thermomechanics of structural rearrangements: Ekkehart Kröner's legacy Plenary lecture presented at the 80th Annual GAMM Conference, Augsburg, 25-28 March 2002

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Finite-element formulations for problems of large elastic-plastic deformation

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Large strain response of kinematic hardening elastoplasticity with the logarithmic rate: Swift effect in torsion

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Some comments on objective rates of symmetric Eulerian tensors with application to Eulerian strain rates

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On the representation of Prandtl-Reuss tensors within the framework of multiplicative elastoplasticity

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A constitutive frame of elastoplasticity at large strains based on the notion of a plastic metric

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A formulation of finite elastoplasticity based on dual co- and contra-variant eigenvector triads normalized with respect to a plastic metric

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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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Associative multiplicative elasto-plasticity: Formulation and aspects of the numerical implementation including stability analysis

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Formulation of implicit finite element methods for multiplicative finite deformation plasticity

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On instabilities in large deformation simple shear loading

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A critical review of the state of finite plasticity

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A prescription for the identification of finite plastic strain

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On the Nature of Normality of Plastic Strain Rate and Convexity of Yield Surfaces in Plasticity

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RESTRICTIONS ON CONSTITUTIVE EQUATIONS OF FINITELY DEFORMED ELASTIC-PLASTIC MATERIALS

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The significance of formulating plasticity theory with reference to loading surfaces in strain space

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Necking of biaxilly stretched elastic-plastic circular plates

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Decomposition of strain measures and their rates in finite deformation elastoplasticity

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On finite deformation elasto-plasticity

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On Finite Plastic Flow of Crystalline Solids and Geomaterials

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Certain basic issues in finite-deformation continuum plasticity

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A new mathematical theory of simple materials

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On the formulation of rheological equations of state

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Thermodynamics of materials with elastic range

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A mechanical theory of materials with elastic range

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The structure of stress-strain relations in finite elasto-plasticity

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On the application of the plastic spin concept for the description of anisotropic hardening in finite deformation plasticity

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

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On the elastic-plastic material element

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On higher rates of stress and deformation

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Mechanics of the inelastic behavior of materials. I: Theoretical underpinnings

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Bounds to bifurcation stresses in solids with non-associated plastic flow law at finite strain

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Constitutive modeling and computational implementation for finite strain plasticity

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Eulerian strain-rate as a rate of logarithmic strain

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Coordinate-independent representation of spins in continuum mechanics

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Inelastic constitutive relations for solids: An internal-variable theory and its application to metal plasticity

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On the use of polar decomposition in the integration of hypoelastic constitutive laws

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Plasticity theory formulated in terms of physically based microstructural variables. I: Theory

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Plasticity theory formulated in terms of physically based microstructural variables. II: Examples

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On the treatment of elastic deformation in finite elastic-viscoplastic theory

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On the dual variable of the logarithmic strain tensor, the dual variable of the Cauchy stress tensor, and related issues

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A study on rate-type constitutive equations and the existence of a free energy function

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The appropriate corotational rate, exact formula for the plastic spin and constitutive model for finite elastoplasticity

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On a geometrically nonlinear damage model based on a multiplicative decomposition of the deformation gradient and the propagation of microcracks

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Some issues about anisotropic elastic-plastic models at finite strain.

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On transformation laws for plastic deformations of materials with elastic range

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A theory of inelastic behavior of materials. Part I: Ideal inelastic materials

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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 new class of algorithms for classical plasticity extended to finite strains. Application to geomaterials

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Associative coupled thermoplasticity at finite strains: Formulation, numerical analysis and implementation

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A unified approach to finite deformation elastoplastic analysis based on the use of hyperelastic constitutive equations

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Rotations, stress rates and strain measures in homogeneous deformation processes

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On the nature of the response functions in rate-independent plasticity

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

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On missing links of rate-independent elasto-plasticity at finite strains

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The Application of Tensor Algebra on Manifolds to Nonlinear Continuum Mechanics — Invited Survey Article

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Theory and analysis of shells undergoing finite elastic-plastic strains and rotations

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A thermodynamic formulation of finite-deformation elastoplasticity with hardening based on the concept of material isomorphism

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On the modelling of anisotropic elastic and inelastic material behaviour at large deformation

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On frame-indifference and form-invariance in constitutive theory

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The plastic distortion of metals

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Yield conditions and flow rules derived from hypo-elasticity

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The Simplest Rate Theory of Pure Elasticity

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Description of plastic anisotropy effects at large deformations. I: Restrictions imposed by the second law and the postulate of Il'iushin.

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Effect of kinematic hardening on localized necking in biaxially stretched sheets

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Internal time, general internal variable, and multi-yield-surface theories of plasticity and creep: A unification of concepts

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

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Some constitutive equations applicable to problems of large dynamic plastic deformation

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A stress rate measure for finite elastic plastic deformations

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Unified explicit basis-free expressions for time rate and conjugate stress of an arbitrary Hill's strain

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On anisotropic scalar functions of a single symmetric tensor

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On anisotropic invariants of a symmetric tensor: crystal classes, quasi–crystal classes and others

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Hypo-elasticity model based upon the logarithmic stress rate

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Logarithmic strain, logarithmic spin and logarithmic rate

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On objective corotational rates and their defining spin tensors

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Strain rates and material spins

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Existence and uniqueness of the exactly integrable hypoelastic equation \(\overset\circ\tau^*=\lambda(\text{tr }D)I+2\mu \)D and its significance to finite inelasticity

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A natural generalization of hypoelasticity and Eulerian rate type formulation of hyperelasticity

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The choice of objective rates in finite elastoplasticity: general results on the uniqueness of the logarithmic rate

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A consistent finite elastoplasticity theory combining additive and multiplicative decomposition of the stretching and the deformation gradient

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Large strain responses of elastic-perfect plasticity and kinematic hardening plasticity with the logarithmic rate: Swift effect in torsion

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Basic issues concerning finite strain measures and isotropic stress-deformation relations

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On postulates of plasticity in classical elastoplasticity

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Explicit dual stress-strain and strain-stress relations of incompressible isotropic hyperelastic solids via deviatoric Hencky strain and Cauchy stress

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Hencky's elasticity model and linear stress-strain relations in isotropic finite hyperelasticity

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Hencky's logarithmic strain and dual stress-strain and strain-stress relations in isotropic finite hyperelasticity

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Objective corotational rates and shear oscillation

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On the concept of relative and plastic spins and its implications to large deformation theories. I: Hypoelasticity and vertex-type plasticity

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An attempt to generalize Onsager's principle, and its significance for rheological problems

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The Derivation of Constitutive Relations from the Free Energy and the Dissipation Function

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Identifiers

zbMATH Open document ID

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10.1007/s00707-005-0282-7

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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:2501286

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