On Plane Stress State and Stress Free Deformation of Thick Plate with FGM Interface under Thermal Loading

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摘要 Thispaperdemonstratestheplanestressstateandthestressfreethermo-elasticdeformationofFGMthickplateunderthermalloading.First,theSneddon-LocketttheoremontheplanestressstateinanisotropicinfinitethickplateisgeneralizedforacaseofFGMprobleminwhichallthermo-mechanicalpropertiesareoptionalfunctionsofdepthco-ordinate.TheproofisbasedonapplicationoftheIljushinthermo-elasticpotentialtodisplacementtypesystemofequationsthatreducesittotheplanestressstateproblem.Thenanexistenceofthepurelythermaldeformationisprovedintwoways:first,itisshownthattheuniquesolutionfulfilsconditionsofsimultaneousconstanttemperatureandlineargradationofthermalexpansioncoefficient,second,proofisbaseddirectlyonstresstypesystemofequationswhichstraightforwardlyreducestocompatibilityequationsforpurelythermaldeformationifonlystressfieldishomogeneousindomainandatboundary.Finally,coupleexamplesofapplicationtoanengineeringproblemarepresented.
机构地区 不详
出版日期 2016年05月15日(中国期刊网平台首次上网日期,不代表论文的发表时间)
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