Mathematical Modelling in Solid Mechanics

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.