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 mechanicsnonconvex variational analysis with emphasis to nonlinear solid and structural mechanicsnumerical 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 engineeringnumerical aspects of non-smooth mechanics, with emphasis on developing accurate and reliable computational toolsmechanics of fibre-reinforced materialsbehaviour of elasto-plastic materials accounting for the microstructural defectsdefinition of structural defects based on the differential geometry concepts or on the atomistic basisinteraction between phase transformation and dislocations at nano-scaleenergetic argumentsbifurcation and post-buckling analysis of elasto-plastic structuresengineering 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.

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.