A local approach for fracture analysis of V- notch specimens under Mode-I loading

Abstract

By using the concepts of the critical stress and the critical distance by Taylor [Taylor D.,The theory of critical distances: a new perspective in fracture mechanics. Oxford, UK: Elsevier; 2007], in this study, a local approach for fracture analysis of V- notch specimens is proposed based on the linear-elastic stress field ahead of V- notch. In the local approach, the size of the critical distance is not taken to be a material constant, whereas it is assumed that the critical distances of different notches are different and are connected closely with the variation of notched geometry. By using fracture test data of V- notches made of both brittle and ductile materials from the literature, the local approach has been verified to be both simple in computation form and highly accurate. Concerning that the fracture analysis for V- notched specimens made of ductile materials can be well performed by the local stress field failure model proposed in this study, an explanation description given in this study is that, if fracture analysis for V- notched specimens made of ductile materials can be well performed by a stress-based intensity parameter, the stress-based intensity parameter can be calculated by the Linear-Elastic Analysis without the need for carrying out complex and time-consuming Elastic-Plastic analysis and in addition some experimental verifications given recently by the author are stressed.