%0 Journal Article
%T 多裂纹问题积分方程方法及相关问题
%A 陈宜周
%J 力学进展
%P 358-387
%D 2008
%R 10.6052/1000-0992-2008-3-J2008-006
%X Thecontentofthisreviewconsistsofrecentdevelopmentscoveringanadvancedtreatmentofmultiplecrackproblemsinplaneelasticity.Severalelementarysolutionsarehighlighted,whicharethefundamentalsfortheformulationoftheintegralequations.Theelementarysolutionsincludethoseinitiatedbypointsourcesorbyadistributedtractionalongthecrackface.Twokindsofsingularintegralequations,threekindsofFredholmintegralequations,andonekindofhypersingularintegralequationaresuggestedforthemultiplecrackproblemsinplaneelasticity.Regularizationproceduresarealsoinvestigated.Forthesolutionoftheintegralequations,therelevantquadraturerulesareaddressed.Avarietyofmethodsforsolvingthemultiplecrackproblemsisintroduced.Applicationsforthesolutionofthemultiplecrackproblemsarealsoaddressed.Theconceptofthemodifiedcomplexpotential(MCP)isemphasized,whichwillextendthesolutionrange,forexample,fromthemultiplecrackprobleminaninfiniteplatetothatinacircularplate.Manymultiplecrackproblemsareaddressed.Thoseproblemsinclude(i)multiplesemi-infinitecrackproblem,(ii)multiplecrackproblemwithageneralloading,(iii)multiplecrackproblemforthebondedhalf-planes,(iv)multiplecrackproblemforafiniteregion,(v)multiplecrackproblemforacircularregion,(vi)multiplecrackprobleminantiplaneelasticity,(vii)T-stressinthemultiplecrackproblem,and(viii)periodiccrackproblemandmanyothers.Thisreviewarticlecites187references.
%K 平面弹性力学
%K 多裂纹问题
%K 基本解
%K 修正复位复数
%K 积分方程方法
%U http://lxjz.cstam.org.cn/CN/abstract/abstract133024.shtml