基于状态空间法的叠层材料热力分析  

Analysis of thermal stress in laminated material based on state space method

作　　者：韩志林[1] 程长征[1] 盛宏玉[1] 

机构地区：[1]合肥工业大学土木与水利工程学院,合肥230009

出　　处：《重庆大学学报（自然科学版）》2016年第5期82-89,共8页Journal of Chongqing University

基　　金：国家自然科学基金资助项目(11372094)~~

摘　　要：通过引入热力问题的应力—应变关系,建立了求解叠层材料温度应力的半解析状态空间法。该方法沿叠层材料水平方向用有限元法离散位移、应力分量,在竖向采用状态空间法求解,得到叠层材料各交界面上的位移、应力分量。为验证该方法的有效性,针对某一给定温度进行热力学分析,并与有限元结果进行对比。算例表明,该方法计算精度高、计算量小。A state space finite element method for 2Dthermal elasticity of laminated materials was deduced by introducing stress-strain relations of thermal elastic problems.Finite element approximation was introduced for the variations of displacements and stresses on the horizontal interfaces while the through thickness distributions of the variations of displacements and stresses were obtained by utilizing state space method.The displacement and stress at the interface of laminated materials deduced by the present method were illustrated.It is shown that the present method has high calculation accuracy and low computational cost by comparing with the finite element method.

关 键 词：叠层材料 状态空间法 热弹性力学 有限元法 

分 类 号：O343.6[理学—固体力学]