A Note on Plane Strain and Plane Stress Problems for a New Class of Elastic Bodies Academic Article

abstract

• In this paper we explore the consequences of prescribing constitutive relations for elastic bodies wherein deformations are given as functions of stresses. For this class of constitutive relations in, the particular case of small deformations, we study boundary value problems for plane strain and plane stresses, and we develop a weak formulation that can be considered as the starting point for numerical computations.

authors

• Rajagopal, Kumbakonam

published proceedings

• MATHEMATICS AND MECHANICS OF SOLIDS

author list (cited authors)

• Bustamante, R., & Rajagopal, K. R.

citation count

• 44

complete list of authors

• Bustamante, R||Rajagopal, KR

publication date

• March 2010

publisher

• SAGE Publications  Publisher

published in

• Mathematics and Mechanics of Solids  Journal

keywords

• Airy Stress Function
• Biharmonic Equation
• Implicit Constitutive Relations
• Weak Formulation

Digital Object Identifier (DOI)

• 10.1177/1081286508098178

start page

• 229

end page

• 238

volume

• 15

issue

• 2

URL

• http://dx.doi.org/10.1177/1081286508098178