:1673-5196(2012)02-0168-05功能梯度材料广义热弹性响应任康乐,周凤玺,鲁庆华。,杨艳(,甘肃兰州730050;,甘肃兰州730050;(北京)国际设计顾问有限公司,北京100013)摘要:基于Lord-Shulman热弹性理论,选取温度和位移及其一阶导数作为状态变量,结合Laplace积分交换,,考虑组分材料体积份数按幂率变化的功能梯度无限大平板,数值分析在冲击性热机载荷作用下的温度、,在冲击性热机载荷作用下,:功能梯度;广义热弹性;Lord-Shulman理论;状态空间法中图分类号:0343文献标识码:AGeneralizedthermoelasticresponseoffunctionallygradedmaterialsRENKang-le,ZHOUFeng-xi,LUQing-hua。,YANGYan(,.,Lanzhou730050,China;,.,Lanzhou730050,China;(Beijing)DesignInternational,Beijing100013,China)Abstract:BasedonthethermoelasticitytheoryofLord-Shulmanandtakingthetemperature,displace-mentanditsfirst—orderderivativeasthestatevariables。alaminationmodelwasestablishedforone-dimen—sionalgeneralizedthermoelasticresponseoffunctionallygradedmaterialsbyusingoftheLaplacetrans—formandstatespaceapproach,Asanapplicationofthismodel,positionvaryingaspowerfunctionwasconsideredandthetemperaturestress,anddisplacementresponseoftheplatetOthermo-—tionofmaterialconstituentshadremarkableinfluenceonthethermoelasticrespon
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