Abstract

Deformation behavior of polycrystalline titanium was studied by numerical simulation in the micromechanical and crystal plasticity frameworks. A three-dimensional model of a polycrystalline structure was generated by the step-by-step packing method based on experimental data. The constitutive equations describing the deformation behavior of grains were derived on the basis of crystal plasticity theory, taking into account the specific crystal structure and dislocation glide on prismatic, basal, and pyramidal slip systems in hcp crystals. A boundary value problem of elastic-plastic deformation of model structures was numerically solved by the finite element method. The verification of the developed model was performed by calculating the elastic-plastic deformation of titanium single crystals with different orientations. Using the model, the contribution of different slip systems to the deformation response of a polycrystal was numerically investigated.

中文翻译：

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不同滑移系统对多晶钛变形响应贡献的数值研究

摘要

通过微观力学和晶体塑性框架中的数值模拟研究了多晶钛的变形行为。多晶结构的三维模型是通过基于实验数据的逐步堆积方法生成的。描述晶粒变形行为的本构方程是在晶体塑性理论的基础上推导出来的，考虑到特定的晶体结构和位错在 hcp 晶体中棱柱、基部和锥体滑移系统上的滑移。采用有限元方法对模型结构弹塑性变形的边值问题进行数值求解。通过计算不同取向钛单晶的弹塑性变形来验证所开发的模型。使用模型，