Francesco dell’Isola & Mircea Sofonea 
Mathematical Modelling in Solid Mechanics [PDF ebook] 

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.

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