Pierre-Yves Guerder

Spyrit systèmes d'information · Development

The scattering of elastic waves in a one dimensional phononic (PnC) crystal composed of alternate collagen and hydroxy-apatite constituent layers is studied. These superlattices are metaphors for mineralized tissues present in bones and teeth. The collagen is treated as an open system elastic medium with water content which can vary depending on th...

A nodal discontinuous Galerkin finite element method (DG-FEM) to solve the linear and nonlinear elastic wave equation in heterogeneous media with arbitrary high order accuracy in space on unstructured triangular or quadrilateral meshes is presented. This DG-FEM method combines the geometrical flexibility of the finite element method, and the high p...

The possibility of tuning the nonlinear effective response of composite materials and structures is of great importance for developing new concepts such as soft metamaterials, acoustic diodes, nonlinear waveguides and phononic crystals. In this paper we develop a homogenization technique for dispersions of nonlinear particles in a soft matrix able...

This work is dedicated to the theoretical and numerical study of nonlinear phononic crystals. The studied nonlinearities are those due to the second (quadratic) and third (cubic) order elastic constants of the materials that constitute the crystals. Nonlinear effects are studied by the means of finite element methods, used to simulate the propagati...