On Large Deformations of Rock-type Transversely Isotropic Materials

  • Yannis F. Dafalias
Chapter

Abstract

Based on the micromechanically motivated suggestion by Mandel and Kratochvil to provide constitutive relations for the plastic spin in a macroscopic formulation of finite strain plasticity, the invariance requirements and the representation theorems for isotropic functions are used to obtain a physically plausible expression for the plastic spin in relation to rock-type transversely isotropic dilatant materials. The micromechanical interpretation of a pertinent macroscopic parameter is discussed, and its effect illustrated by the analysis of a specific example.

Keywords

Constitutive Relation Logarithmic Strain Director Vector Isotropic Function Plastic Spin 
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Résumé

Fondés sur la proposition de Mandel et Kratochvil, motivée par la micromécanique, de donner des relations constitutives pour le spin plastique dans une formulation macroscopique de plasticité à grandes déformations, les exigences d’invariance et les théorèmes de la représentation des fonctions isotropes sont utilisées pour obtenir une expression physiquement plausible pour le spin plastique, pour des matériaux du type des roches dilatantes avec isotropie transverse. L’interprétation micromécanique d’un paramètre pertinent est discutée, et son effet illustré en analysant un exemple spécifique.

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Copyright information

© Elsevier Applied Science Publishers Ltd 1986

Authors and Affiliations

  • Yannis F. Dafalias
    • 1
  1. 1.Department of Civil EngineeringUniveristy of CaliforniaDavisUSA

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