On the effect of dissipation in shape-memory alloys
From MaRDI portal
Publication:1874248
DOI10.1016/S1468-1218(02)00079-2zbMath1023.74036MaRDI QIDQ1874248
Kumbakonam R. Rajagopal, Tomáš Roubíček
Publication date: 22 May 2003
Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)
regularityviscositymartensitic phase transformationcapillarityshape memory alloyphenomenological rate-independent plasticity-type dissipationvanishing dissipative effects
Lua error in Module:PublicationMSCList at line 37: attempt to index local 'msc_result' (a nil value).
Related Items (14)
Geophysical models of heat and fluid flow in damageable poro-elastic continua ⋮ Editorial: Tomáš Roubíček celebrates his sixtieth anniversary ⋮ Modelling of microstructure and its evolution in shape-memory-alloy single-crystals, in particular in CuAlNi ⋮ Nonlinearly coupled thermo-visco-elasticity ⋮ Approximation in multiscale modelling of microstructure evolution in shape-memory alloys ⋮ Phase transformations in electrically conductive ferromagnetic shape-memory alloys, their thermodynamics and analysis ⋮ Abstract nonlinear evolution inclusions of second order with applications in visco-elasto-plasticity ⋮ Special issue dedicated to Professor K. R. Rajagopal on the occasion of his 60th birthday ⋮ Global optimization numerical strategies for rate-independent processes ⋮ Thermodynamics of shape-memory alloys under electric current ⋮ Chemomechanical equilibrium of bars ⋮ Seismic waves and earthquakes in a global monolithic model ⋮ FERROMAGNETS WITH EDDY CURRENTS AND PINNING EFFECTS: THEIR THERMODYNAMICS AND ANALYSIS ⋮ Numerical approaches to rate-independent processes and applications in inelasticity
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Nonequilibrium thermodynamics of pseudoelasticity
- Comparison of the geometrically nonlinear and linear theories of martensitic transformation
- The viscosity-capillarity criterion for shocks and phase transitions
- Global existence for thermomechanical processes with nonconvex free energies of Ginzburg-Landau form
- Phase transitions in one-dimensional nonlinear viscoelasticity: Admissibility and stability
- The propagation of phase boundaries in elastic bars
- Energy minimization and the formation of microstructure in dynamic anti- plane shear
- Convergence of solutions to the equation of quasi-static approximation of viscoelasticity with capillarity
- Thermomechanical theory of martensitic phase transformations in inelastic materials
- Young-measure solutions for a viscoelastically damped wave equation with nonmonotone stress-strain relation
- On the thermomechanics of shape memory wires
- Transition to detonation in dynamic phase changes
- On the dynamics of fine structure
- On a one-dimensional nonlinear thermoviscoelastic model for structural phase transitions in shape memory alloys
- The computation of the dynamics of the martensitic transformation
- Inelastic behavior of materials. II: Energetics associated with discontinuous deformation twinning
- Weak solutions for a class of nonlinear systems of viscoelasticity
- Dynamics of phase transitions and hysteresis in a viscoelastic Ericksen's bar on an elastic foundation
- Evolution model for martensitic phase transformation in shape-memory alloys
- A variational formulation of rate-independent phase transformations using an extremum principle
- On rate-independent hysteresis models
- Travelling wave solutions as dynamic phase transitions in shape memory alloys
- Dynamics as a mechanism preventing the formation of finer and fine microstructure
- Hysteresis and phase transitions
- The mixed initial-boundary value problem for the equations of nonlinear one-dimensional viscoelasticity
- Existence of solutions for a mathematical model of structural phase transitions in shape memory alloys
- Existence of solutions to some non-linear thermoelastic systems with viscosity
- Implications of Viscosity and Strain-Gradient Effects for the Kinetics of Propagating Phase Boundaries in Solids
- On the propagation of maximally dissipative phase boundaries in solids
- Dynamical modelling of phase transitions by means of viscoelasticity in many dimensions
- Implicit Time Discretization and Global Existence for a Quasi-Linear Evolution Equation with Nonconvex Energy
- Visco‐elasto‐plastic model for martensitic phase transformation in shape‐memory alloys
- Stick-Slip Interface Motion as a Singular Limit of the Viscosity-Capillarity Model
- On the existence of solutions to the equation \(u_{tt}=u_{xxt}+\sigma (u_x)_x\)
This page was built for publication: On the effect of dissipation in shape-memory alloys
