Homogenization à la Piola produces second gradient continuum models for linear pantographic lattices

Homogenization à la Piola produces second gradient continuum models for linear pantographic lattices

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A second gradient material resulting from the homogenization of an heterogeneous linear elastic medium

Second order sensitivity analysis for shape optimization of continuum structures

This study focuses on the optimization of the plane structure. Sequential quadratic programming (SQP) will be utilized, which is one of the most efficient methods for solving nonlinearly constrained optimization problems. A new formulation for the second order sensitivity analysis of the two-dimensional finite element will be developed. All the second order required derivatives will be calculat...

Homogenization of hexagonal lattices

We characterize the macroscopic effective mechanical behavior of a graphene sheet modeled by a hexagonal lattice of elastic bars, using Γ-convergence.

Contribution à l'étude de la maladie athéromateuse