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Mathematical Modelling in Solid Mechanics

  • Book
  • © 2017

Overview

  • Provides an excellent state of the art in the field of mathematical modelling in mechanics
  • Offers new results, techniques and concepts
  • Presents selected papers presented at ETAMM 2016
  • Includes supplementary material: sn.pub/extras

Part of the book series: Advanced Structured Materials (STRUCTMAT, volume 69)

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Table of contents (18 chapters)

Keywords

About this book

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.

Editors and Affiliations

  • Università di Roma "La Sapienza" , Roma, Italy

    Francesco dell'Isola

  • Université de Perpignan Via Domitia, LAboratoire de Mathématiques et PhySique Université de Perpignan Via Domitia, Perpignan, France

    Mircea Sofonea

  • Dept Mechanical Engineering, UC Berkeley Dept Mechanical Engineering, Berkeley, USA

    David Steigmann

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