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 ĝ€deformationsĝ€ are given as functions of ĝ€stressesĝ€. 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. © 2010 Sage Publications.

authors

• Rajagopal, Kumbakonam

author list (cited authors)

• Bustamante, R., & Rajagopal, K. R.

citation count

• 38

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