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含损伤复合材料的湿热弹性响应

, PP. 196-206

Keywords: 连续损伤力学,不可逆热力学,本构方程,湿-热-固-损伤耦合,张量

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Abstract:

依据不可逆热力学理论,未引入任何附加假设,建立了湿热弹性各向异性损伤复合材料的一般理论。应用建立损伤本构方程的本构泛函展开法,推导出湿热弹性损伤材料全部本构方程的一般形式,其中包括比自由能密度表达式、应力-应变关系、熵密度方程、损伤应变能释放率表达式、吸湿对偶力表达式、湿-热-固-损伤耦合的热传导方程和损伤演化方程。研究表明,在本构方程中含有若干损伤效应函数,表征损伤对材料宏观力学性能与湿、热性能的影响,其具体形式可由细观力学解确定,从而使连续损伤力学与细观损伤力学有机结合在一起。最后,从细观力学与实验观测两个角度,举例说明损伤效应函数与系数张量的确定方法,为分析变温变湿环境下复合材料的损伤问题提供重要的理论依据。

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