Intrinsic methods in elasticity : a mathematical survey

Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review

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Detail(s)

Original languageEnglish
Pages (from-to)133-164
Journal / PublicationDiscrete and Continuous Dynamical Systems
Volume23
Issue number1-2
Online publishedSept 2008
Publication statusPublished - Jan 2009

Abstract

In the classical approach to elasticity problems, the components of the displacement field are the primary unknowns. In an "intrinsic" approach, new unknowns with more physical or geometrical meanings, such as a strain tensor field or a rotation field for instance, are instead taken as the primary unknowns. We survey here recent progress about the mathematical analysis of such methods applied to linear and nonlinear three-dimensional elasticity and shell problems.

Research Area(s)

  • Intrinsic methods in elasticity, Linear and non-linear shell theory, Linearized and nonlinear three-dimensional elasticity