IUTAM Symposium on Variations of Domains and Free-Boundary Problems in Solid Mechanics
This volume contains the contributions presented at the IUTAM Symposium on Variations of Domains and Free-Boundary Problems in Solid Mechanics, held in Paris, France, 22-25 April, 1997. In solid mechanics, free-boundary problems are relevant in a large variety of subjects such as optimization, optimal control, phase transition, metal casting, solidification and melting, stability analysis, inverse problems, propagating surface of discontinuity etc., and they raised interesting discussions in...
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This volume contains the contributions presented at the IUTAM Symposium on Variations of Domains and Free-Boundary Problems in Solid Mechanics, held in Paris, France, 22-25 April, 1997. In solid mechanics, free-boundary problems are relevant in a large variety of subjects such as optimization, optimal control, phase transition, metal casting, solidification and melting, stability analysis, inverse problems, propagating surface of discontinuity etc., and they raised interesting discussions in the past and recent literature. Although the physics behind these phenomena is immense, the mathematical analyses often present many common features. The three aspects - mechanical modelling, mathematical formulation and numerical resolution - are the outstanding points of this book. It gives a review of the state of the art in free-boundary problems for research engineers and researchers in applied mechanics and applied mathematics. The originality of this book is that it is solid mechanics oriented, whereas other books published in the same field are mathematics oriented. Booknews Papers from an April 1997 symposium review the latest progress in free-boundary problems from a mechanics orientation, for research engineers and researchers in applied mechanics and applied mathematics. Subjects discussed include ground freezing, shape memory alloys, crystal growth, phase change in solids, piezo-electricity, delamination, and fracture mechanics. Other topics include polymerization, adhesion, porous media, nucleation, plasticity, inverse problems, and topological optimization. No index. Annotation c. by Book News, Inc., Portland, Or.
PrefaceCommitteesSteady state solutions to a multi-dimensional phase change problem in ground freezing1Evolution of phases in a shape memory alloy by local and global minimisations of a non convex potentials9Micromechanical modelling of the thermomechanical behavior of shape memory alloys by local and global minimisations of a non convex potentials17Micromechanics constitutive modeling for polycrystalline SMA25Damping of a vibrating SMA rod through phase transformation35The equilibrium motion of the martensitic interface in thick-walled infinite austenitic plate45Error control for phase change problems53Numerical schemes for the mean curvature flow of graphs63Phase diagrams - Heat of mixing and interfacial energy71Propagation of a front by kink motion77On variational aspects of the theory of liquid crystals with variable degree of orientation85Diffusion-limited dynamics in growth experiments93Molecular dynamics simulation of melting / solidification and induced stresses103Exploring the commonality between filling: porous media and phase change113About nucleation and growth121Wavelet methods for a Stefan problem129Delamination of active layers in piezoelectric laminates137A delamination model: mathematical properties151Delamination prediction by continuum damage mechanics163Dynamical systems for non-isothermal phase separation173Global solution to the Penrose-Fife phase field model with special heat flux laws181Damage and gradient of damage in transient dynamics189Cracks in fracture mechanics : a time indexed family of energy minimizers197One-dimensional ductile-brittle transition, yielding, and structured deformations203Approximation results for a class of quasistatic contact problems including adhesion and friction211A continuous model for Ziegler-Natta polymerization219A steady displacement-based formulation for the analysis and design of large deformation continuous elastoplastic manufacturing processes227Strong solutions to equations of visco-thermo-plasticity with a temperature-dependent hysteretic strain-stress law237Thermomechanical approach of running discontinuities245Global solutions with contact discontinuities for quasilinear hyperbolic systems of conservation laws253Stability of a system whose boundary evolutions are governed by a standard constitutive law261Stability of moving fronts under griffith criterion: a computational approach using integral equations and domain derivatives269Instabilities produced by edges in thin shells277On the inversion of subsurface residual stresses from surface stress measurements285Structural Optimization by the homogenization method293Degenerate sweeping processes301About the mathematical modeling of irreversibility problems309Sharp energy estimates for finite element approximations of non-convex problems317Finite-element analysis of solid-fluid, kineticly driven phase transformation327Author index337
\ BooknewsPapers from an April 1997 symposium review the latest progress in free-boundary problems from a mechanics orientation, for research engineers and researchers in applied mechanics and applied mathematics. Subjects discussed include ground freezing, shape memory alloys, crystal growth, phase change in solids, piezo-electricity, delamination, and fracture mechanics. Other topics include polymerization, adhesion, porous media, nucleation, plasticity, inverse problems, and topological optimization. No index. Annotation c. by Book News, Inc., Portland, Or.\ \
