SH波作用下雙相介質(zhì)界面附近圓孔和裂紋的相互作用.pdf

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