| 朱合华,杨林德,袁勇.一种新的摄动粘弹性边界元法[J].计算力学学报,1992,9(3): |
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| 一种新的摄动粘弹性边界元法 |
| A New Perturbation BEM for Viscoelasticity |
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| DOI：10.7511/jslx19923048 |
| 中文关键词: 边界元法,粘弹性,摄动,广义变分,拉普拉斯变换 |
| 英文关键词:BEM,viscoelasticity, perturbation, generalized variation, Laplace transform |
| 基金项目: |
| 朱合华 杨林德 袁勇 |
上海同济大学地下工程系 200092
(朱合华，杨林德)
，上海同济大学地下工程系 200092(袁勇)
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| 中文摘要: |
| 本文在拉普拉斯变换空间中,运用摄动理论和“弹性-粘弹性”对应性原理,提出了一种新的粘弹性问题边界元求解法。文中结合广义变分原理,导出了摄动粘弹性边界元方程,并给出了摄动粘弹性问题的基本解。最后,详述了一阶摄动的求解过程,并给出了算例。 |
| 英文摘要: |
| A new BEM for viscoelastic problems is presented by using perturbation theory and "elasticity-viscoelasticity" correspondence principle under the Laplace transform space. In the paper, by combined with the generalized variational principle, the perturbation BE equations and the fundamental solutions of viscoelasticity are derived. Finally, the solving procedure of the first-order perturbation is detailed, and an example is given. |
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