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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。
According to the theory of irreversible thermodynamics, without introducing any additional assumptions, a general theory of the composite material with damp-heat elastic anisotropy is established. By using the constitutive functional expansion method to establish the damage constitutive equation, the general form of all the constitutive equations of the material is deduced, including the specific free energy density expression, the stress-strain relation, the entropy density equation, the damage strain energy release The rate expression, the hygroscopic dual force expression, the heat conduction equation and the damage evolution equation of the wet - thermo - solid - damage coupling. The results show that the constitutive equation contains a number of damage effect functions to characterize the effects of damage on the macroscopic mechanical properties and the wet and thermal properties of the materials. The specific form of the damage equations can be determined by the mesomechanical solution, so that the continuous damage mechanics and meso-damage mechanics combine together. Finally, from the perspectives of mesomechanics and experiment observation, the method of determining the damage effect function and the coefficient tensor is illustrated. This provides an important theoretical basis for analyzing the damage of composite materials under variable temperature and humidity environment.