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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 - P. Argoul

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

By: P. Argoul (Editor)

Hardcover Published: 30th November 1998
ISBN: 9780792354505
Number Of Pages: 340

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This collection of papers on solid mechanics explores free-boundary problems which are involved in a large variety of methods such as optimization, optimal control, phase transition, metal casting, solidification and melting, stability analysis and inverse problems. 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 main 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 focus of the book is solid mechanics oriented.

Preface
Committees
Steady state solutions to a multi-dimensional phase change problem in ground freezingp. 1
Evolution of phases in a shape memory alloy by local and global minimisations of a non convex potentialsp. 9
Micromechanical modelling of the thermomechanical behavior of shape memory alloys by local and global minimisations of a non convex potentialsp. 17
Micromechanics constitutive modeling for polycrystalline SMAp. 25
Damping of a vibrating SMA rod through phase transformationp. 35
The equilibrium motion of the martensitic interface in thick-walled infinite austenitic platep. 45
Error control for phase change problemsp. 53
Numerical schemes for the mean curvature flow of graphsp. 63
Phase diagrams - Heat of mixing and interfacial energyp. 71
Propagation of a front by kink motionp. 77
On variational aspects of the theory of liquid crystals with variable degree of orientationp. 85
Diffusion-limited dynamics in growth experimentsp. 93
Molecular dynamics simulation of melting / solidification and induced stressesp. 103
Exploring the commonality between filling: porous media and phase changep. 113
About nucleation and growthp. 121
Wavelet methods for a Stefan problemp. 129
Delamination of active layers in piezoelectric laminatesp. 137
A delamination model: mathematical propertiesp. 151
Delamination prediction by continuum damage mechanicsp. 163
Dynamical systems for non-isothermal phase separationp. 173
Global solution to the Penrose-Fife phase field model with special heat flux lawsp. 181
Damage and gradient of damage in transient dynamicsp. 189
Cracks in fracture mechanics : a time indexed family of energy minimizersp. 197
One-dimensional ductile-brittle transition, yielding, and structured deformationsp. 203
Approximation results for a class of quasistatic contact problems including adhesion and frictionp. 211
A continuous model for Ziegler-Natta polymerizationp. 219
A steady displacement-based formulation for the analysis and design of large deformation continuous elastoplastic manufacturing processesp. 227
Strong solutions to equations of visco-thermo-plasticity with a temperature-dependent hysteretic strain-stress lawp. 237
Thermomechanical approach of running discontinuitiesp. 245
Global solutions with contact discontinuities for quasilinear hyperbolic systems of conservation lawsp. 253
Stability of a system whose boundary evolutions are governed by a standard constitutive lawp. 261
Stability of moving fronts under griffith criterion: a computational approach using integral equations and domain derivativesp. 269
Instabilities produced by edges in thin shellsp. 277
On the inversion of subsurface residual stresses from surface stress measurementsp. 285
Structural Optimization by the homogenization methodp. 293
Degenerate sweeping processesp. 301
About the mathematical modeling of irreversibility problemsp. 309
Sharp energy estimates for finite element approximations of non-convex problemsp. 317
Finite-element analysis of solid-fluid, kineticly driven phase transformationp. 327
Author indexp. 337
Table of Contents provided by Blackwell. All Rights Reserved.

ISBN: 9780792354505
ISBN-10: 0792354508
Series: SOLID MECHANICS AND ITS APPLICATIONS
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 340
Published: 30th November 1998
Publisher: Springer
Country of Publication: NL
Dimensions (cm): 23.5 x 15.88  x 1.91
Weight (kg): 0.68