A new application of M- and L-integrals for the numerical loading analysis of two interacting cracks

作者：Judt Paul O^*; Ricoeur Andreas

来源：ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik, 2016, 96(1): 24-36.

DOI：10.1002/zamm.201500012

• J-integral
• M-integral
• L-integral
• global approach
• mixed-mode
• crack interaction
• crack propagation
• crack paths

A new application of the path-independent M- and L-integrals in linear elastic fracture mechanics is presented for the accurate calculation of loading quantities related to two-cracks problems in engineering structures. Path-independent integrals are used to avoid special requirements concerning crack tip meshing and contour size. The numerical calculation of M-and L-integrals is performed along the external boundary of the model. This global contour includes both crack tips and thus the resulting values represent the sum of loading quantities related to each crack tip. A separation technique is necessary to calculate local values of the J-integral and stress intensity factors. Numerical examples of crack propagation simulations are presented and the resulting crack paths are verified and compared with those from conventional methods.

• 出版日期2016-1