Trends in Applications of Mathematics to Mechanics

Front Cover
CRC Press, Oct 3, 1995 - Mathematics - 376 pages
With the purpose of promoting cooperative research involving the fields of mechanics and pure mathematics, the International Society for the Interaction of Mechanics and Mathematics (ISIMM) sponsors a series of Symposia. The ninth in this series (STAMM 94) took place in July 1994 at the University of Lisbon and emphasized the current trends in nonlinear mechanics, phase change problems (in cooperation with the European Science Foundation Scientific Programme on Mathematical Treatment of Free Boundary Problems), non Newtonian fluids, optimization in solid mechanics and numerical methods in continuum mechanics. This book collects a refereed selection of original contributions presented at STAMM 94, covering a large spectrum of current research in the above topics, from nonlinear elasticity to nonlinear fluids, from phase transitions to diffusion phenomena, and from structural optimization and homogenization to numerical schemes.
 

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Contents

Existence of potential wells in stability analysis of non linear elastic beams and shells
14
A high order spin wave system with a timeperiodic condition by Jin Liang
36
examples and analysis
57
On weak discontinuity waves in porous materials by K Wilmanski
71
Thermodynamical models of phase transitions with multicomponent order parameter
87
Diffusion in axially symmetric surfaces by B D Coleman R S Falk and M
112
The classical solution for the Stefan problem with hysteresis by A Meirmanov
125
Solid to solid phase transformation of the 1st kind by L V Nikitin
147
Plane jet flows of nonNewtonian fluids by H Stehr and W Schneider
228
Relaxation of structural optimization problems by homogenization by G Allaire
237
Application of quaternions to 3D optimization problems of material distributions
252
Bounded control in elastic systems by F L Chernousko
261
On some homogenization problems in partially perforated domains by 0 A Oleinik
267
Evolution of a thin reticulated elastic structure by J M SacÉpée and J Saint
278
A generalized expression of cost for prediction of the optimal material properties
290
Some domaindecomposition methods for the exterior Poisson equation
299

Plastic flow and nonlinear nonequilibrium thermodynamics by J Verhás
164
A steadystate nonNewtonian unidirectional flow with energy dissipation
177
The connection between EricksenLeslie equations and the balances of mesoscopic
185
Decay in time of kinetic energy of second and thirdgrade fluids in unbounded
195
Boundary layers in nonlinear fluids by K R Rajagopal
209
Theory of ideal fibrereinforced nonlinear viscoelastic fluids by A J M Spencer
219
Numerical solution of transport equations with applications to nonNewtonian fluids
311
Convergence of Nschemes for linear advection equations by B Perthame
323
Numerical study of large amplitude oscillations of a tethered satellite system
334
Some mathematical problems of the theory of nonlinear elasticity
348
APPENDIX
359
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