含非均勻材料的層合結(jié)構(gòu)體中界面上的運(yùn)動(dòng)裂紋問(wèn)題.pdf

1、寧夏大學(xué)碩士學(xué)位論文含非均勻材料的層合結(jié)構(gòu)體中界面上的運(yùn)動(dòng)裂紋問(wèn)題姓名：郭玉彬申請(qǐng)學(xué)位級(jí)別：碩士專業(yè)：應(yīng)用數(shù)學(xué)指導(dǎo)教師：楊曉春200803012j。愛人學(xué)碩上學(xué)位論文英文摘受AbstractWiththerapiddevelopmentoftechnology，materialsaremoreandmorerequiredstrictlyUsuallyasinglematerialcan’tsatisfythemultifunction

2、aldemandsinmanyengineeringapplicationsOntheotherhandthefunctionallygradedmaterial，Sdevelopmentprovesthatthismaterialcanreducethestress，con—vergence，andenhancethefracturetoughnessAccordinglythefunctionallygradedmaterialis

3、widelyemployed，anditsconcepthasbeenintroducedintothepiezoelectricorpiezoelectric／piezomagneticmateriaisforresearchBasedonthelinearmacroscopicaitheoryofelasticitymaterial，piezoelectricmaterialandpiezoelectric／piezomagneti

4、cmaterial，thisthesisconsidersthecrackmovingalongtheinterfaceofsandwichmaterialsincludingnonhomogeneouscompositelayerTherearefivespartsinthepresentpaperThefirstpartsummarizestheadvanceofcompoundmate—rials，theinvestigation

5、situationofinterfacemechanics，themethodsforstudyingfracturemechanics，thebasicequationsandthemaincontentdiscussedinthispaperAmovingmode—IIIcrackalongtheinterfaceofsandwichmaterialsincludingfunctionallygradedlayerasthesubs

6、trateisstudiedinthesecondpartAmovingmode—fflcrackalongtheinterfaceofsandwichmaterialsincludingfunctionallygradedpiezoelectriclayeriSstudiedinthethirdoattAmovi’ngmode—lllcrackattheinterfacebetweentwodifferentpiezoelectric

7、／piezomagneticmaterialsisstudiedinthefourthpartIntheabovethreeparts，basedontheassumptionthattheeffectofthecracksurfaceoverlappingverynearthecracktipsisnegligible，F(xiàn)ouriertransformsareusedteducetheproblemtOthesolutionofapa

8、irofdualintegralequationswhicha佗thenreducedtOaFredholmintegralequationofsecondkindbytheCopson—SihmethodFinallytheinfluencesofgradedparameterthcmovingve!ocityofthecrackandgeometricalsizcOndynamicstressintensityfactorarean