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变温粘弹性杆的轴向位移的解析解

ANALYTICAL SOLUTION OF AXIAL DISPLACEMENT OF THE VISCOELASTIC ROD UNDER NONCONSTANT TEMPERATURE STATE

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【作者】 刘立厚张义同王晓虹黄耀祥

【Author】 LIU Lihou;ZHANG Yitong;WANG Xiaohong;HUANG Yiaoxiang(Hebei Institute of Architectural Science & Technology,Handan 056038)(Dept. of Mechanics Tianjin University,Tianjin 300072)

【机构】 河北建筑科技学院!邯郸056038天津大学力学系!天津300072

【摘要】 关于粘弹性材料的解析解不多,而关于变温粘弹性材料的解析解则更少.本文在三维变温粘弹性本构方程[1]的基础上,将构件材料的终态温度等效松弛曲线表示成负幂指数的形式,推导出了粘弹性材料的杆在轴力作用下处于变温状态下的位移的解析解.

【Abstract】 There are not many analytical solutions for the viscoelastic material, and still less analytical solution for the viscoelastic material under nonconstant temperature state. In this paper, based on the 3-D constitutive equation [1] of thermoviscoelasticity under nonconstant temperature state, the equivalent relaxation curve of the material at terminal temperature state is expressed as the negative exponential function, and the analytic solution of the displacement is developed for the rod made of the viscoelastic material under the action of the axial force and nonconstant temperature state.

【关键词】 变温粘弹性松弛解析解
【Key words】 thermoviscoelaxticityrelaxationanalytical solution
【基金】 同济大学资助;国家教委固体力学开放研究实验室资助
  • 【文献出处】 力学与实践 ,MECHANICS AND ENGINEERING , 编辑部邮箱 ,1999年02期
  • 【分类号】O345
  • 【被引频次】2
  • 【下载频次】86
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