Surface energy evaluation using a modified 3-D M-integral for multiple surface cracks

[摘要] In the present paper, we develope a 3-D M-srf integralto evaluate the surface energy that is corresponding to formation of multiple surface cracks. The M-srf-integral is formulated by modifying the conventional 3-D M-integral with deliberate origination of the coordinate system and proper delimitation of the integral surface. The integral is demonstrated to be surface-independent in a modified manner and so can be accurately evaluated provided an integration surface remote from the crack fronts is selected. With this feature, the theory of integration can be straightforwardly incorporated into the finite element method. In fact, it is not necessary to simulate the near-front regions with very fine FE simulations to obtain accurate solutions of M-srf. (C) 2020 Elsevier Ltd. All rights reserved.

[发布日期] 2020-12-01

[关键词] Surface crack;Surface energy;M-srf-integral;Surface-independence;Multiple cracks