Large deformation theory of coupled thermoplasticity including kinematic hardening

DOI10.1007/BF01190019zbMath1027.74010OpenAlexW2044518247MaRDI QIDQ1576537

David W. Nicholson

Publication date: 12 January 2004

Published in: Acta Mechanica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01190019

zbMATH Keywords

principle of virtual workpotential functionskinematic hardeningyield functionthermal softeningwork hardeningfinite element equationsstability in smalltangent modulus tensorfinite strain thermoplasticityvon Mises's yield condition

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05) Large-strain, rate-independent theories of plasticity (including nonlinear plasticity) (74C15) Thermal effects in solid mechanics (74F05)

Related Items (1)

Explicit boundary element method for nonlinear solid mechanics using domain integral reduction

Cites Work

• Use of a mean-normal technique for efficient and numerically stable large-strain elastic-plastic finite-element solutions
• A note on uniqueness in coupled thermoplasticity
• Tangent modulus tensor in plasticity under finite strain
• Finite element method for thermomechanical response of near-incompressible elastomers
• Incremental finite element equations for thermomechanical response of elastomers: Effect of boundary conditions including contact
• Extensions of Kronecker product algebra with applications in continuum and computational mechanics
• Theory and thermohyperelasticity for near-incompressible elastomers
• A general theory of an elastic-plastic continuum
• The Derivation of Constitutive Relations from the Free Energy and the Dissipation Function

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