Mathematical Modelling in Solid Mechanics

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· Advanced Structured Materials Kitabu cha 69 · Springer
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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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