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.
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 sl&
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