A novel size independent symplectic analytical singular element for inclined crack terminating at bimaterial interface
| Autor: | J.N. Wang, Q.S. Shen, Weian Yao, Shangtong Yang, Xiaofei Hu |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2017 |
| Předmět: |
Normalization property
Interface (Java) Applied Mathematics Mathematical analysis Geometry 02 engineering and technology 01 natural sciences Finite element method 010101 applied mathematics Stress (mechanics) 020303 mechanical engineering & transports 0203 mechanical engineering Modeling and Simulation 0101 mathematics Element (category theory) QA Stress intensity factor Symplectic geometry Stiffness matrix |
| ISSN: | 0307-904X |
| Popis: | Cracks often exist in composite structures, especially at the interface of two different materials. These cracks can significantly affect the load bearing capacity of the structure and lead to premature failure of the structure. In this paper, a novel element for modeling the singular stress state around the inclined interface crack which terminates at the interface is developed. This new singular element is derived based on the explicit form of the high order eigen solution which is, for the first time, determined by using a symplectic approach. The developed singular element is then applied in finite element analysis and the stress intensity factors (SIFs) for a number of crack configurations are derived. It has been concluded that composites with complex geometric configurations of inclined interface cracks can be accurately simulated by the developed method, according to comparison of the results against benchmarks. It has been found that the stiffness matrix of the proposed singular element is independent of the element size and the SIFs of the crack can be solved directly without any post-processing. |
| Databáze: | OpenAIRE |
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