FUNDAMENTAL SOLUTION OF BI-MATERIAL ELASTIC SPACE  

FUNDAMENTAL SOLUTION OF BI-MATERIAL ELASTIC SPACE

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作  者:黄克服 王敏中 

机构地区:[1]Department of Mechanics, Peking University, Beijing 100871, PRC

出  处:《Science China Mathematics》1991年第3期309-315,共7页中国科学:数学(英文版)

摘  要:In this paper, the fundamental solution of the bi-material elastic space is studied. Usingthe Papkovich-Neuber solution and the Kelvin state of the 3-dimensional elasticity, thedisplacement field of the bi-material elastic space where a concentrated body force is appliedin the interior, is obtained. As several special cases, the solutions of the Lorentz problemand Mindlin problem in the elastic half space, and the solution of the analogue problem inthe Stokes flow can all be deduced from our results.In this paper, the fundamental solution of the bi-material elastic space is studied. Usingthe Papkovich-Neuber solution and the Kelvin state of the 3-dimensional elasticity, thedisplacement field of the bi-material elastic space where a concentrated body force is appliedin the interior, is obtained. As several special cases, the solutions of the Lorentz problemand Mindlin problem in the elastic half space, and the solution of the analogue problem inthe Stokes flow can all be deduced from our results.

关 键 词:FUNDAMENTAL solution HARMONIC FUNCTION composite material linear elasticity. 

分 类 号:N[自然科学总论]

 

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