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Two Dimensional Minimax Theory on Shear Stress and a General Classification Model for Nonlinear Constitutive Relations

  • Jinro Ukita
Conference paper
Part of the Solid Mechanics and Its Applications book series (SMIA, volume 94)

Abstract

A theoretical framework that provides a general representation of two-dimensional nonlinear constitutive relations is proposed. The theory is based upon minimization of maximum shear stress that links functional forms of energy dissipation and constitutive relation. Its application to a polynomial energy dissipation function leads to a power-law relationship between strain rate and stress magnitudes. On the basis of this relationship, a general categorization model for constitutive relations is developed and used to analyze forms commonly encountered in ice studies.

Keywords

Constitutive Relation Maximum Shear Stress Dissipation Function Constitutive Form Principal Strain Rate 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media Dordrecht 2001

Authors and Affiliations

  • Jinro Ukita
    • 1
  1. 1.Goddard Earth Science and Technology CenterUniversity of Maryland Baltimore County and NASA Goddard Space Flight CenterGreenbeltUSA

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