Shape sensitivity analysis in linear elastic fracture mechanics

✍ Scribed by E. Taroco

• Publisher: Elsevier Science
• Year: 2000
• Tongue: English
• Weight: 165 KB
• Volume: 188
• Category: Article
• ISSN: 0045-7825
• DOI: 10.1016/s0045-7825(99)00356-4

✦ Synopsis

Shape sensitivity analysis of an elastic solid in equilibrium with a known load system applied over its boundary is presented in this work. The domain and boundary integral expressions of the ®rst-and second-order shape derivatives of the total potential energy are established, by using an arbitrary change of the domain characterized by a velocity ®eld de®ned over the initial body con®guration. In these expressions we recognize free divergence tensors that are denoted in this paper as energy shape change tensors. Next, shape sensitivity analysis is applied to cracked bodies. For that purpose, a suitable velocity distribution ®eld is adopted to simulate the crack advance of a unit length in a two-dimensional body. Finally, the corresponding domain and the equivalent path-independent integral expressions of the ®rst-and second-order potential energy release rate of fracture mechanics are also derived.