Mathematical Modelling in Solid Mechanics -

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Résumé :
This book presents new research results in multidisciplinary fields of mathematical and numerical modelling in mechanics. The chapters treat the topics:


mathematical modelling in solid, fluid and contact mechanics

nonconvex variational analysis with emphasis to nonlinear solid and structural mechanics

numerical modelling of problems with non-smooth constitutive laws, approximation of variational and hemivariational inequalities, numerical analysis of discrete schemes, numerical methods and the corresponding algorithms, applications to mechanical engineering

numerical aspects of non-smooth mechanics, with emphasis on developing accurate and reliable computational tools

mechanics of fibre-reinforced materials

behaviour of elasto-plastic materials accounting for the microstructural defects

definition of structural defects based on the differential geometry concepts or on the atomistic basis
interaction between phase transformation and dislocations at nano-scale
energetic arguments

bifurcation and post-buckling analysis of elasto-plastic structures

engineering optimization and design, global optimization and related algorithms





















The book presents selected papers presented at ETAMM 2016. It includes new and original results written by internationally recognized specialists.

Sommaire:
1 Convergence of Hencky-type discrete beam model to Euler inextensible Elastica in large deformation: rigorous proof.- 2 Analysis of the deformation of Cosserat elastic shells using the dislocation density tensor.- 3 Flow relations and yield functions for dissipative strain-gradient plasticity.- 4 Finite elasto-plastic models for lattice defects in crystalline materials.