Mathematical Modelling in Solid Mechanics

ISBN-13: 9789811099618 / Angielski / Miękka / 2018 / 316 str.

Francesco Dell'isola; Mircea Sofonea; David Steigmann

Spis treści

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 strain-gradient plasticity.- 4 Finite elasto-plastic models for lattice defects in crystalline materials.

Blurb

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.