SH波作用下雙相介質界面附近圓孔和裂紋的相互作用.pdf

1、v1437398分類號：——UDC：——工學碩士學位論文密級：——編號：——SH波作用下雙相介質界面附近圓孔和裂紋的相互作用碩士研究生：劉超指導教師：楊在林副教授學位級別；工學碩士學科、專業(yè)；工程力學所在單位：建筑工程學院論文提交日期：2008年5月論文答辯日期：2008年6月學位授予單位：哈爾濱工程大學哈爾濱T稗大學碩學傳論文AbstractTheproblemsofSHwavescattering，whichiscausedbyha

2、lfspacecircularcavitynearthebimaterialinterfaceandcrackofarbitrarypositionarestudiedinthispaperbeyondthefieldofelastodynamics，andthemethodsofGreen’SFunctioncomplexvariablesfunctionandmultipolarcoordinatesareusedhereFirst

3、asuitableGreen’Sfunctionisconstructed，andthisisthekeytechnologyofthisproblemTwoGreen’sfunctionsareneededhere：oneisanessentialsolutionofthedisplacementfieldfortheelastichalfspacepossessingcircularcavityandcrackwitharbitra

4、rypositionwhilebearingoutofplaneharmoniclinesourceloadsatarbitrarypoint，andusingthis，displacementforthesurfaceandinternalofelastichalfspacepossessingcircularcavitywhilebearingoutofplaneharmoniclinesourceloadsatarbitraryp

5、oirItCanbeobtained，thecrack、析tharbitrarypositionisestablishedbyusingthemethodofcrackdivisionthenthefirstGreen’functionforthisproblemisconstructedThesecondGreen’functionisanessentialsolutionofthedisplacementfieldfortheela

6、sticwholespacewhilebearingout—ofplaneharmoniclinesourceloadsatarbitrarypointThescatteringofSHwavebycrackofarbitrarypositionandacircularcavitynearthebimaterialinterfaceisinvestigated，theproblemCanberegardedasharmonymodel：

7、thebimaterialmediaisdividedintotwopartsalongthehorizontalinterface，oneisanelastichalfspace嘶macircularcavityandacrack，andtheotherisacompleteelasticwholespaceThehorizontalsurfacesofthetwopartsareloadedwithundeterminedanti—

8、planeforcesinordertosatisfyatthelinkingsectionAseriesofFredholmintegralequationsCanbesetupthroughcontinuityconditionsThen，thesolutionoftheproblemCanbereducedtoaseriesofalgebraicequationsandsolvednumericallybytruncatingth