A new crack tip element for the phantom‐node method with arbitrary cohesive cracks 论文

2008International Journal for Numerical Methods in Engineering引用 244
Numerical methods in engineeringAdvanced Numerical Methods in Computational MathematicsContact Mechanics and Variational Inequalities

摘要

Abstract We have developed a new crack tip element for the phantom‐node method. In this method, a crack tip can be placed inside an element. Therefore, cracks can propagate almost independent of the finite element mesh. We developed two different formulations for the three‐node triangular element and four‐node quadrilateral element, respectively. Although this method is well suited for the one‐point quadrature scheme, it can be used with other general quadrature schemes. We provide some numerical examples for some static and dynamic problems. Copyright © 2007 John Wiley & Sons, Ltd.