Trend and Applications of Mathematics to Mechanics: STAMM 2002

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Author: S. Rionero

ISBN-10: 8847002699

ISBN-13: 9788847002692

Category: Engineering mathematics -> Congresses

The book collects a selection of papers most of which are revised and enriched versions of the contributions presented at the 12th Symposium on Trends of Applications of Mathematics to Mechanics (STAMM) which was sponsored by the International Society for the Interaction between Mathematics and Mechanics (ISIMM) and held in Maiori (Salerno), Italy from September 29th to October 4th, 2002. The Symposium attracted many leading researchers from around the world who are working at the interface...

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This book collects 22 papers which contribute special investigations and more wide presentations of linear and nonlinear problems. It is with the deepest gratitude to the authors that have contributed to the volume and to the publisher, for his highly professional assistance, that the editors submit this book to the international mathematics and mechanics communities.

On the instability of double diffusive convection in porous media under boundary data periodic in space1Modelling of a free piston problem9Reflections on frequently used viscoplastic constitutive models19On hereditary models of polymers33Edge contact forces in continuous media39Tangent stiffness of a Timoshenko beam undergoing large displacements49Qualitative estimates for cross-sectional measures in elasticity67On nonlinear global stability of Jeffery-Hamel flows77Energy penalty, energy barrier and hysteresis in martensitic transformations85On the applicability of generalized strain measures in large strain plasticity101A nonlocal formulation of plasticity115Consistent order extended thermodynamics and its application to light scattering127On instability sources in dynamical systems141Tangent stiffness of elastic continua on manifolds155Basic issues in convex homogenization185Tangent stiffness of polar shells undergoing large displacements203Global existence of smooth solutions and stability of the constant state for dissipative hyperbolic systems with applications to extended thermodynamics215Central schemes for conservation laws with application to shallow water equations225Regularized 13 moment equations for rarefied gas flows247Hydrodynamic calculation for extended differential mobility in semiconductors269Small planar oscillations of an incompressible, heavy, almost homogeneous liquid filling a container287Thermodynamics of simple two-component thermo-poroelastic media293