Minimum theorems in incremental linear elastic fracture mechanics

11Citations
Citations of this article
10Readers
Mendeley users who have this article in their library.

Abstract

The crack propagation problem for linear elastic fracture mechanics has been studied by several authors exploiting its analogy with standard dissipative systems theory (see e.g. (Nemat-Nasser et al., 1980; Nguyen, 2000; Maugin, 1992; Bourdin et al., 2008; Salvadori, 2008). This approach is here further advanced, by noting that Stress Intensity Factors (SIFs) asymptotic expansion (Amestoy et al., 1986; Amestoy and Leblond, 1992) enjoys a Colonnetti's decomposition (Colonnetti, 1918; Colonnetti, 1950) interpretation. As a consequence, minimum theorems are derived in terms of crack tip "quasi static velocity". They are reminiscent of Ceradini's theorem (Ceradini, 1965; Ceradini, 1966) in plasticity. © 2011 Elsevier Ltd. All rights reserved.

Cite

CITATION STYLE

APA

Salvadori, A., & Carini, A. (2011). Minimum theorems in incremental linear elastic fracture mechanics. International Journal of Solids and Structures, 48(9), 1362–1369. https://doi.org/10.1016/j.ijsolstr.2011.01.019

Register to see more suggestions

Mendeley helps you to discover research relevant for your work.

Already have an account?

Save time finding and organizing research with Mendeley

Sign up for free