Waves in Nonlinear Pre-Stressed Materials
Invited Lecturers
- Michel Destrade (CNRS, UMR 7607, Paris Cedex 05, France)
5 Lectures on:
Interfacial waves in pre-stressed elastic bodies, with emphasis on incremental equations on motion and boundary conditions, influence of strain-induced anisotropy, and the search for analytical solutions.- Yibin Fu (University of Keele, Keele, Staffordshire, Great Britain)
5 Lectures on:
Nonlinear stability analysis of pre-stressed elastic bodies, non-linear amplitude equations, sensitivity to imperfections, and multi-mode resonant interactions.- Patrick Joly (INRIA, Le Chesnay Cedex, France)
6 Lectures on:
Computational methods for wave propagation: introduction to conservative variational methods for the numerical simulation of elastic wave propagation in time domain (finite element methods, mixed finite elements, etc.) and introduction to the method of perfectly matched layers (unbounded media).- Andrew N. Norris (Rutgers University, Piscataway, NJ , USA)
5 Lectures on:
Waves in prestressed geophysical materials with applications to borehole acoustics, linear and non-linear wave motion in geophysical materials, mechanical properties of rocks and granular solids, applications to geophysical problems of interest to oil and seismic exploration.- Raymond W. Ogden (University of Aberdeen, Aberdeen, Great Britain)
5 Lectures on:
The mathematics and mechanics of pre-stressed bodies: incremental equations of motion for nonlinearly elastic solids (isotropic, transversely isotropic, and orthotropic materials); residual stresses; incremental uniqueness and bifurcation; boundary-value problems; applications to the anisotropy of residually stressed soft tissues.- Giuseppe Saccomandi (Università d. Studi di Perugia, Perugia, Italy)
5 Lectures on:
Finite amplitude waves in elasticity and viscoelasticity with applications to soft-tissues and rubber-like materials: historical survey and up-to-date presentation of new results and of formal methods used to obtain exact solutions for general and for special classes of materials.