含湿热效应的各向同性耦合粘弹模型
An Isotropic Viscoelastic Model Coupled with Hydrothermal Effects
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摘要: 为了表征高聚物的行为并反映湿热和应力的相互影响,针对各向同性粘弹性材料,从不可逆热力学出 发,引入刻划材料粘性行为的内变量,采用Helmholtz自由能建立了包含湿热效应的各向同性粘弹性材料的本构 方程。讨论了该本构方程与目前计算中常采用模型的关系。Abstract: To characterize the behavior of polymers and the mutual influences among moisture, temperature, and stress in polymers, a constitutive equation for isotropic viscoelastic materials, with a coupling among behaviors of moisture diffusion, heat conduction and mechanical deformation, is developed using the Helmholtz free energy and irreversible thermodynamics. In the equation, internal variables are introduced to describe the viscosity of the materials. It is shown that through simplification some currently used computational models can be generated from the equation proposed in this paper.
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Key words:
- constitutive relationship /
- viscoelasticity /
- coupling /
- moisture diffusion /
- heat conduction /
- internal variable
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