Iutam Symposium On Variations Of Domain And Free-boundary Problems In Solid Mechanics: Proceedings Of The Iutam Symposium Held In Paris, France, 22-25 April 1997 (solid Mechanics And Its Applications)

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. Front Matter....Pages i-xi Steady State Solutions to a Multi-Dimensional Phase Change Problem in Ground Freezing....Pages 1-7 Evolution of Phases in a Shape Memory Alloy by Local and Global Minimisations of a Non Convex Potentials....Pages 9-16 Micromechanical Modelling Of The Thermomechanical Behavior Of Shape Memory Alloys....Pages 17-24 Micromechanics Constitutive Modeling for Polycrystalline Sma....Pages 25-33 Damping of a Vibrating Sma Rod Through Phase Transformation....Pages 35-44 The Equilibrium Motion of the Martensitic Interface in Thick-Walled Infinite Austenitic Plate....Pages 45-52 Error Control for Phase Change Problems....Pages 53-61 Numerical Schemes for the Mean Curvature Flow of Graphs....Pages 63-70 Phase Diagrams — Heat of Mixing and Interfacial Energy....Pages 71-76 Propagation of a Front by Kink Motion....Pages 77-84 On Variational Aspects of the Theory of Liquid Crystals with Variable Degree of Orientation....Pages 85-91 Diffusion-Limited Dynamics in Growth Experiments....Pages 93-101 Molecular Dynamics Simulation of Melting/Solidification and Induced Stresses....Pages 103-111 Exploring the Commonality Between Filling: Porous Media and Phase Change....Pages 113-119 About Nucleation and Growth....Pages 121-127 Wavelet Methods for a Stefan Problem....Pages 129-136 Delamination of active layers in piezoelectric laminates....Pages 137-150 A Delamination Model. Mathematical Properties....Pages 151-162 Delamination Prediction by Continuum Damage Mechanics....Pages 163-171 Dynamical Systems for Non-Isothermal Phase Separation....Pages 173-180 Global Solution to the Penrose-Fife Phase Field Model with Special Heat Flux Laws....Pages 181-188 Damage and Gradient of Damage in Transient Dynamics....Pages 189-196 Cracks in Fracture Mechanics : A Time Indexed Family of Energy Minimizers....Pages 197-202 One-Dimensional Ductile-Brittle Transition, Yielding, and Structured Deformations....Pages 203-210 Approximation Results for a Class of Quasistatic Contact Problems Including Adhesion and Friction....Pages 211-218 A Continuous Model for Ziegler-Natta Polymerization....Pages 219-226 A Steady Displacement-Based Formulation for the Analysis and Design of Large Deformation Continuous Elastoplastic Manufacturing Processes....Pages 227-236 Strong Solutions to Equations of Visco-Ther-Mo-Plasticity with a Temperature-Dependent Hysteretic Strain — Stress Law....Pages 237-244 Thermomechanical Approach of Running Discontinuities....Pages 245-251 Global Solutions with Contact Discontinuities for Quasilinear Hyperbolic Systems of Conservation Laws....Pages 253-260 Stability of a System Whose Boundary Evolutions are Governed by a Standard Constitutive Law....Pages 261-267 Stability of Moving Fronts Under Griffith Criterion: A Computational Approach Using Integral Equations and Domain Derivatives....Pages 269-276 Instabilities Produced by Edges in Thin Shells....Pages 277-284 On the Inversion of Subsurface Residual Stresses from Surface Stress Measurements....Pages 285-292 Structural Optimization by the Homogenization Method....Pages 293-300 Degenerate Sweeping Processes....Pages 301-307 About the Mathematical Modeling of Irreversibility Problems....Pages 309-316 Sharp Energy Estimates for Finite Element Approximations of Non-Convex Problems....Pages 317-325 Finite-Element Analysis of Solid-Fluid, Kineticly Driven Phase Transformation....Pages 327-335 Back Matter....Pages 337-340