Description
Book SynopsisThe International Society for the Interaction of Mechanics and Mathematics has a long-standing and respected tradition of hosting symposia that provide a forum for disseminating new developments and methods. Trends in Applications of Mathematics to Mechanics represents the proceedings of the eleventh such symposium, held at the University of Nice in May 1998.
Comprising invited lectures and refereed papers, this volume includes recent results that open perspectives on fields in mechanics and their methodological counterparts in mathematics. It also surveys important advances in the areas where mathematics and mechanics interact. The applications addressed include:
Table of ContentsELASTICITY-PLASTICITY Asymptotic Behavior of the Eigenvalues of a Plate Problem, A. Campbell and S. Nazarov On the Torsion of Soft Cylindrical Shells, A. DiCarlo and P. Nardinocchi On the Uniqueness of the Null-Traction Boundary Value Problem in Nonlinear Elastoplastics, R Knops Free Boundary Problems arising from Spectral and Path-Following Analysis in the Mechanics of Elastic-Plastic Solids, A. Léger and A. El Loulani GRANULAR, POROUS, AND HOMOGENIZED MEDIA On a Stationary Axisymmetic Filtration Problem Under Large Deformations of the Skeleton, B. Albers and K. Wilmanski Macroscopic Modeling of Cosserat Media, G. de Felice and N. Rizzi On the Stucture and Shape of Sandpiles, H.J. Herrmann CONSTITUTIVE EQUATIONS AND FUNDAMENTAL MECHANICS G-Defining Equations: Applications to Nonlinear Differential Equations, O. Kaptsov Liu Technique for Exploiting the Dissipation Inequatlity in Case of Constratined State Space Variables, W. Muschik, H. Herrmann, G. Rückner, and C. Papenfuss On the Internal Constraints and the Derivation of a Linear Plate Theory, P. Podio-Guidugli Hamiltonian Versus Lagrangian Forms, C. Trimarco THERMODYNAMICS AND KINETIC THEORY Convergence towards the Thermodynamical Equilibrium, L. Desvillettes Hyperbolic Heat Conduction, W. Dreyer and M. Kunik Non-Equilibrium Thermodynamics and the Dynamics of Particles, J. Verhás Towards Extended Thermodynamics of Porous and Granular Materials, K. Wilmanski PHASE TRANSITION Global Existence and Continuous Dependence of Phase Transitions in Hyperbolic Conservation Laws, R. Colombo and A. Corli Approximation of Quasistatic Processes with Friction by Incremental Problems in the Theory of Phase Transitions, F. Theil WATER WAVES Models for Long-Wave Instability Due to a Resonance between Two Waves, R. Grimshaw Hamiltonian Spatial Dynamics Methods for Two- and Three-Dimensional Steady Waves, M. Groves On the Symmetry Th
