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采用多晶塑性分析方法,设材料单元包含一定数量的各向异性单晶晶粒并考虑晶粒尺寸的影响,利用Taylor假设计算材料单元的应力和应变.模型引入考虑尺寸效应的晶体滑移硬化函数,同时针对晶体滑移引入背应力及其方向性硬化的描述,以反映不同晶粒尺寸材料在循环加载条件下的力学行为.利用该模型,论文第一作者采用显式格式编制了与ABAQUS商用有限元软件接口的用户材料子程序(VUMAT),实例计算证实该模型可以反映和描述多晶金属材料在反复加载条件下的循环塑性行为与尺寸效应.
Using the method of polycrystalline plasticity analysis, the material unit contains a certain amount of anisotropic single crystal grains and considers the effect of grain size, and the Taylor’s assumption is used to calculate the stress and strain of the material unit. The model introduces the crystal slip hardening Function, and at the same time introduces the description of the back stress and directionality hardening for the crystal slip to reflect the mechanical behavior of the material with different grain sizes under cyclic loading conditions.Using this model, the first author of the dissertation used explicit format to compose the ABAQUS The user material subroutine (VUMAT) of the commercial finite element software interface is validated by an example to show that this model can reflect and describe the cyclic plastic behavior and size effect of polycrystalline metallic materials under repeated loading conditions.