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| Primary study on viscous boundary in numerical manifold method |
| Received:October 24, 2007 |
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| DOI：10.7511/jslx20095024 |
| KeyWord:numerical simulation numerical manifold method viscous boundary stress wave propagation |
| Author | Institution |
| 钱莹 |
中国科学院 数学与系统科学研究院 计算数学与科学工程计算研究所,北京 ;北京理工大学 爆炸科学与技术国家重点实验室,北京 |
| 杨军 |
北京理工大学 爆炸科学与技术国家重点实验室,北京 |
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| Abstract: |
| In engineering analysis by numerical manifold method, infinite region or half infinite region is treated by fixed boundary. But stress waves reflect severely at fixed boundary. The simulative results are not in agreement with fact instances. So based on Lysmer’s viscous boundary theory, a new viscous boundary is brought forward. This approach is based on the use of the independent dashpots in the normal and shear directions of specific boundaries, and then corresponding viscous boundary condition stiffness matrix is derived and implemented into the original NMM program. New method has been proven to be an effective method by a simple example, in which one dimensional elastic wave propagates in a long rock bar, and comparing with resultant stress wave obtained from different boundary by FEM. The result obtained from the FBC by NMM is in agreement with that by FEM. But the result obtained from the VBC by NMM does not agree with that from the non-reflection boundary by FEM. It is helpful for programming and the application of numerical manifold method to engineering. |
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