| 王国庆,江爱民,丁皓江,胡海昌.各向异性势问题充要的随机边界积分方程[J].计算力学学报,1996,13(1): |
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| 各向异性势问题充要的随机边界积分方程 |
| A sufficient and necessary stochastic boundary integral equation for anisotropic potential problems |
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| DOI：10.7511/jslx19961006 |
| 中文关键词: 各向异性/势问题,随机边界积分方程 |
| 英文关键词:anisotropic/potential problem,stochastic boundary integral equation |
| 基金项目: |
| 王国庆 江爱民 丁皓江 胡海昌 |
| 浙江大学力学系!杭州，310027 |
| 摘要点击次数: 1377 |
| 全文下载次数: 0 |
| 中文摘要: |
| 本文针对各向异性势问题提出了一类充分必要的随机边界积分方程。数值计算结果表明在退化尺度附近，充要的随机边界积分方程较习用的随机边界积分方程有较大的优越性。 |
| 英文摘要: |
| This paper proposes a sufficient and necessary stochastic boundary integral equation for anisotropic potential problems. Based on the first-order Taylor series expansion, the bound ary integral equations concerning the mean and deviation of the potential are derived, respectively. It is found that the randomness of material parameters is equivalent to a randomsource. Numerical examples show that conventional boundary integral equation obtainswrong results when the scale in the fundamental solution approaches its degenerate scale value. Whereas, the sufficient and necessary boundary integral equation results are in good a greement with the practical results. |
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