1. Surface energy evaluation using a modified 3-D M-integral for multiple surface cracks
- Author
-
J.H. Chang and J.S. Yang
- Subjects
Surface (mathematics) ,Materials science ,Applied Mathematics ,Mechanical Engineering ,Coordinate system ,Geometry ,02 engineering and technology ,021001 nanoscience & nanotechnology ,Condensed Matter Physics ,Finite element method ,Surface energy ,020303 mechanical engineering & transports ,0203 mechanical engineering ,Mechanics of Materials ,Feature (computer vision) ,Modeling and Simulation ,General Materials Science ,0210 nano-technology - Abstract
In the present paper, we develope a 3-D Msrf-integral to evaluate the surface energy that is corresponding to formation of multiple surface cracks. The Msrf-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 Msrf.
- Published
- 2020
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