Plasticity : mathematical theory and numerical analysis

This book focuses on the theoretical aspects of small strain theory of elastoplasticity with hardening assumptions. It provides a comprehensive and unified treatment of the mathematical theory and numerical analysis. It is divided into three parts, with the first part providing a detailed introducti...

Täydet tiedot

Tallennettuna:
Bibliografiset tiedot
Päätekijät: Han, Weimin, 1963-, Reddy, B. Dayanand, 1953- (Tekijä)
Aineistotyyppi: Livre papier
Kieli:Anglais
Julkaistu: New York ; Heidelberg ; Dordrecht [etc.] : Springer 2013, cop. 2013.
Painos:2nd ed.
Sarja:Interdisciplinary applied mathematics 9
Aiheet:
Autres localisations: Voir dans le Sudoc
Edition sous un autre format:• Plasticity, Ressource électronique, Mathematical Theory and Numerical Analysis, by Weimin Han, B. Daya Reddy., 2nd ed. 2013., New York, NY, Springer New York, Springer e-books, Imprint: Springer, Springer e-books, 2013, Interdisciplinary Applied Mathematics, 978-1-461-45940-8
Sisällysluettelo:
  • P VII
  • Preface to the Second Edition
  • P. IX
  • Preface to the First Edition
  • Part I, Continuum Mechanics and Elastoplasticity Theory
  • P. 3
  • Preliminaries
  • P. 15
  • Continuum Mechanics and Linearized Elasticity
  • P. 41
  • Elastoplastic Media
  • P. 95
  • The Plastic Flow Law in a Convex-Analytic Setting
  • Part II The Variational Problems of Elastoplasticity
  • P. 125
  • Basics of Functional Analysis and Function Spaces
  • P. 151
  • Variational Equations and Inequalities
  • P. 187
  • The Primal Variational Problem of Elastoplasticity
  • P. 225
  • The Dual Variational Problem of Classical Elastoplasticity
  • Part III, Numerical Analysis of the Variational Problems
  • P. 251
  • Introduction to Finite Element Analysis
  • P. 269
  • Approximation of Variational Problems
  • P. 285
  • Approximations of the Abstract Problem
  • P. 319
  • Numerical Analysis of the Primal Problem
  • P. 371
  • Numerical Analysis of the Dual Problem
  • P. 405
  • References
  • P. 415
  • Index.