基于状态空间法的叠层材料热力分析
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国家自然科学基金资助项目(11372094)。


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

    Abstract:

    A state space finite element method for 2D thermal 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.

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韩志林,程长征,盛宏玉.基于状态空间法的叠层材料热力分析[J].重庆大学学报,2016,39(5):82-89.

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  • 收稿日期:2016-04-10
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  • 在线发布日期: 2016-10-31
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