复合材料非定常温度场的有限元计算

FINITE ELEMENT ANALYSIS OF UNSTEADY TEMPERATURE DISTRIBUTION IN COMPOSITE LAMINATE

  • 摘要: 本文借助复合材料的微观特性建立了宏观物理模型,并把空间有限元离散模型和时问-空间有限元离散模型应用于具有任意结构参数和边界条件的复合材料的非定常温度场的有限元计算。计算结果表明,采用集中质量热容矩阵可以得到比采用一致质量热容矩阵更高的计算精度;采用时间-空简有限元可以得到比采用空间有限元更高的计算精度。计算结果还表明,由于复合材料的导热性能极差,因此它是作为航天飞机和空间飞机的热保护装置的理想材料之一。

     

    Abstract: The study of computational methods for the temperature distribution in a composite laminate under various boundary conditions such as prescribed surface temperature,specified heat flux and/or prescribed environmental temperature surrounding the laminate is pramically important.In order to obtain the temperature distribution in a composite structure subjected to an arbitrary thermal loading efficiently and accurately, there are two problems to be solved,namely,the establishment of the mathematical model and physical model,and the selection of the numerical procedure for solving the thermal equilibrium equation.In the present paper, the establishment of the physical model of the composite laminate following its micro-characteristics and the derivation of both space element and time-spare element matrices are given.The computational results show that the use of the lumped mass matrix will lead to a more accurate result than that of the consistent mass matrix,and the use of the time-space element will lead to a more accurate result than that of the space element as well.Meanwhile,the computational results chow again that since the conductivity of composite materials is very poor, a significant temperature gradient will arise near the heating surface of the laminate,the distortion of the composite laminate thug induced is not to be ignored in the design and analysis.

     

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