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利用变分法证明平面调和函数的外问题的确切形式;在此基础上,建立外问题的具有间接变量的等价边界积分方程;传统的外问题及边界积分方程不具有普遍适用性,本文对此进行了详细的讨论.  相似文献   
2.
平面Poisson外边值问题   总被引:2,自引:0,他引:2  
证明平面调和函数的Dirichlet外问题解存在唯一的充要条件;在此基础上,建立Laplace和Poisson外问题的等价边界积分方程;通过实例对传统的边界积分方程进行了讨论,表明它们不具有普遍适用性。  相似文献   
3.
An aerofoil above which is built the artificial cavity low pressure region is called"cavitating airfoil".By using generalized Blasius’s theorem and conformal transformation,this paper investgates the problem of the flow past the aerofoil of cavitatting airfoil with thejetstream above cavitation,and gives the formulae of the lift and thrust.  相似文献   
4.
用变分法确立平面弹性力学外边值问题的确切形式.在此基础之上,导出外边值问题的等价的间接变量边界积分方程.一些实例表明传统的惯用的直接变量边界积分方程与原边值问题是不等价的.  相似文献   
5.
Focused electron-beam-induced (FEB-induced) deposition and etching are versatile, direct-write nanofabrication schemes that allow for selective deposition or removal of a variety of materials. Fundamentally, these processes are governed by an electron-induced reaction with a precursor vapor, which may either result in decomposition to a solid deposit or formation of a volatile etch by-product. The ability to induce such localized reactions by placement of a nanometer-sized focused electron probe has recently drawn considerable attention. In response, we have reviewed much of the relevant literature pertaining to both focused electron-beam-induced etching and deposition. Because these nanoscale processing techniques are still in their relative infancy, a significant amount of scientific research is being conducted to understand, and hence improve, the processes. This article summarizes the associated physics of electron-solid-vapor interactions, discusses related physical processes, and provides an introduction to electron-beam-induced etching (EBIE) and electron-beam-induced deposition (EBID). Additionally, specific applications of FEB-induced processes are discussed and several FEB computer model and simulation results are reviewed.  相似文献   
6.
弹性薄板弯曲问题的等价的直接变量边界积分方程   总被引:1,自引:0,他引:1  
建立平面弹性薄板弯曲问题理论中具有直接变量的等价边界积分方程,传统的直接变量边界积分方程,它们都不是等价的,对此进行了深入的讨论。  相似文献   
7.
IntroductionIthasbeenratheralonghistorythattheBoundaryElementMethod (BEM )isappliedtosolvetheplaneelasticityproblems[1~2 ].However,theEBIE ,whichisequivalenttotheoriginalboundaryvalueproblem ,hasnotbeenfullyappreciatedandsolvedinBEMcommunity .TheconventionalboundaryintegralequationswithindirectvariablesarediscussedthoroughlyanditisshownthatthepreviousresultsarenotEBIE ,i.e .,sometimes,thereexistsnosolutionormorethanonesolutiontothem .Themainkeyliesintheexactformoftheexteriorproblems.I…  相似文献   
8.
用变分法证明平面弹性力学外边值问题的正确提法。在此基础之上,确立外问题的等价的直接变量边界积分方程。对传统的惯用的直接变量边界积分方程进行了深入的讨论,表明它与原边值问题不等价。  相似文献   
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