Non-elliptic elastic materials and the modeling of dissipative mechanical behavior: An example

DOI10.1007/BF00044195zbMath0626.73011MaRDI QIDQ581025

James K. Knowles, Rohan C. Abeyaratne

Publication date: 1987

Published in: Journal of Elasticity (Search for Journal in Brave)

zbMATH Keywords

large strainsshape memory alloysequilibrium theorymicrostructural effectsdiscontinuous displacement gradientsdissipative mechanical behaviorinternal variable formalismmacroscopic plastic behaviornon- elliptic solidspseudo-elastic effectquasi-static motions

Mathematics Subject Classification ID

Nonlinear elasticity (74B20)

Related Items (16)

Nonlinear Elasticity Theory with Discontinuous Internal Variables ⋮ Martensitic phase transitions with surface effects ⋮ Analysis of strain localization in strain-softening hyperelastic materials, using assumed stress hybrid elements ⋮ Remarks on ellipticity for the generalized Blatz-Ko constitutive model for a compressible nonlinearly elastic solid ⋮ Equilibrium shocks in plane deformations of incompressible elastic materials ⋮ On the mechanical dissipation of solutions to the Riemann problem for impact involving a two-phase elastic material ⋮ On the encounter of an acoustic shear pulse with a phase boundary in an elastic material: Energy and dissipation ⋮ A note on the pure torsion of a circular cylinder for a compressible nonlinearly elastic material with nonconvex strain-energy ⋮ Construction of two-phase equilibria in a non-elliptic hyperelastic material ⋮ On the driving traction acting on a surface of strain discontinuity in a continuum ⋮ Kinetic relations and the propagation of phase boundaries in solids ⋮ Phase changes induced by deformation in isothermal elastic crystals ⋮ On the modeling of thermo-mechanical phase transformations in solids ⋮ On the dissipation due to wave ringing in nonelliptic elastic materials ⋮ On the encounter of an acoustic shear pulse with a phase boundary in an elastic material: Reflection and transmission behavior ⋮ On martensitic phase nucleation with surface effects

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