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

DOI10.1007/s00161-011-0221-xzbMath1342.74031OpenAlexW1970599468MaRDI QIDQ740131

Sergio Frigeri, Ulisse Stefanelli

Publication date: 12 August 2016

Published in: Continuum Mechanics and Thermodynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00161-011-0221-x

zbMATH Keywords

existenceshape-memory alloystime-discretizationphase transformations in solidsrate-independencefinite-strain

Mathematics Subject Classification ID

Large-strain, rate-independent theories of plasticity (including nonlinear plasticity) (74C15) Numerical approximation of solutions of dynamical problems in solid mechanics (74H15) Existence of solutions of dynamical problems in solid mechanics (74H20) Problems involving hysteresis in solids (74N30)

Related Items (8)

Finite plasticity in \(P^\top P\). I: Constitutive model ⋮ Existence and linearization for the Souza-Auricchio model at finite strains ⋮ Magnetic shape-memory alloys: thermomechanical modelling and analysis ⋮ A phenomenological model for the magneto-mechanical response of single-crystal magnetic shape memory alloys ⋮ Gradient structures for the thermomechanics of shape-memory materials ⋮ Thermal control of a rate-independent model for permanent inelastic effects in shape memory materials ⋮ The Souza-Auricchio model for shape-memory alloys ⋮ Finite Plasticity in $P^\top\!P$. Part II: Quasi-Static Evolution and Linearization

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