Nonlinear elasticity with limiting small strain for cracks subject to non-penetration

• Published in: Mathematics and mechanics of solids Vol. 22; no. 6; pp. 1334 - 1346
• Main Authors: Itou, Hiromichi, Kovtunenko, Victor A, Rajagopal, Kumbakonam R
• Format: Journal Article
• Language: English
• Published: London, England SAGE Publications 01.06.2017
• Subjects: limiting small strain; regularization; penalization; nonlinear crack with non-penetration; variational inequality; Nonlinear elasticity; generalized solution

A major drawback of the study of cracks within the context of the linearized theory of elasticity is the inconsistency that one obtains with regard to the strain at a crack tip, namely it becoming infinite. In this paper we consider the problem within the context of an elastic body that exhibits lim...