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中国物理学会期刊

耦合孔洞分布特征变化规律的层裂损伤模型及其应用

CSTR:32037.14.aps.75.20251152

Spallation model coupled with variation of void distribution characteristics and its application

CSTR:32037.14.aps.75.20251152
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  • 强冲击加载下延性材料的层裂损伤演化过程包含孔洞成核、增长、汇合以及材料的断裂/破碎等物理过程, 孔洞增长基本保持球形扩展, 损伤演化过程可分为孔洞成核与增长以及孔洞汇合与增长两个阶段, 且孔洞之间汇合以接触汇合形式为主. 基于三角函数形式, 本文给出了孔洞数密度变化全过程的唯像物理描述方法, 并构建耦合孔洞分布特征变化规律的层裂损伤演化方程. 新模型不仅全面反映了孔洞成核、增长以及汇合的物理过程, 展示损伤演化过程中的孔洞分布特征的变化规律, 而且计算结果可以给出材料内部的损伤状态以及孔洞数密度的分布情况, 这为损伤之后材料的再压缩和破碎问题的分析提供了有效支撑. 微观计算统计结果和相关实验结果验证了新模型的适用性.

    At the current stage, the development of spallation damage research is limited because of the lack of real-time experimental methods to capture the variation of void growth and its distribution characteristics, as well as effective mathematical description method to describe the variation of pore distribution characteristics. Under strong impact loading, the evolution of spallation damage in ductile materials includes physical processes such as nucleation, growth, coalescence, and final fracture/fragmentation of materials. The growth of voids basically maintains the expansion of spherical holes. The damage evolution process can be divided into two stages: nucleation and growth of voids, and coalescence and growth of voids. The coalescence of voids occurs mainly through direct impingement. Based on the analysis of the variation law of the number of voids in the spallation damage evolution simulated by molecular dynamics, the probability distribution of void nucleation is described using a cosine trigonometric function, and the reduction of void number due to the void coalescence is described using a sine trigonometric function. A phenomenological physical description method for the whole process of the void number density variation is given, and then an evolution equation for spallation damage coupled with the variation law of void number density is constructed. The new model not only fully reflects the physical processes of nucleation, growth and coalescence of voids, but also shows the changing law of void distribution characteristics during damage evolution. The calculation results can determine the damage state and the distribution of void number density in the material, which provides effective support for the analyzing the recompression and fragmentation of materials after spall damage. At the same time, it also promotes the development of spallation damage research. The applicability of the new model is validated by the statistical results of microscopic molecular dynamics computation and related experimental results.

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