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.