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应力场诱发表面扩散下晶内微孔洞演化的相场模拟

周林勇 黄佩珍 张嘉明

南京航空航天大学学报(英文版)2022,Vol.39Issue(3):280-290,11.
南京航空航天大学学报(英文版)2022,Vol.39Issue(3):280-290,11.

应力场诱发表面扩散下晶内微孔洞演化的相场模拟

Phase Field Simulation of Intragranular Microvoids Evolution Due to Surface Diffusion in Stress Field

周林勇 1黄佩珍 1张嘉明1

作者信息

  • 1. 南京航空航天大学航空学院机械结构力学及控制国家重点实验室,南京 210016,中国
  • 折叠

摘要

Abstract

Based on the bulk free energy density and the degenerate mobility constructed by the quartic double-well potential function,a phase field model is established to simulate the evolution of intragranular microvoids due to surface diffusion in a stress field. The corresponding phase field governing equations are derived. The evolution of elliptical microvoids with different stresses Λ,aspect ratios β and linewidths (hˉ)is calculated using the mesh adaptation finite element method and the reliability of the procedure is verified. The results show that there exist critical values of the stressΛc,the aspect ratioβc and the linewidth (hˉ)c of intragranular microvoids under equivalent biaxial tensile stress. WhenΛ≥Λc,β≥βc or (hˉ)≤(hˉ)c,the elliptical microvoids are instable with an extending crack tip. WhenΛ<Λc,β<βc or (hˉ)>(hˉ)c,the elliptical microvoids gradually cylindricalize and remain a stable shape. The instability time decreases with increasing the stress or the aspect ratio,while increases with increasing the linewidth. In addition,for the interconnects containing two elliptical voids not far apart,the stress will promote the merging of the voids.

关键词

相场法/应力迁移/表面扩散/有限元法/晶内微孔洞

Key words

phase field method/stress migration/surface diffusion/finite element method/intragranular microvoid

分类

信息技术与安全科学

引用本文复制引用

周林勇,黄佩珍,张嘉明..应力场诱发表面扩散下晶内微孔洞演化的相场模拟[J].南京航空航天大学学报(英文版),2022,39(3):280-290,11.

基金项目

The work was supported by the Natu?ral Science Foundation of Jiangsu Province of China(No.BK20141407)and the Project Funded by the Priority Aca?demic Program Development of Jiangsu Higher Education In?stitutions. (No.BK20141407)

南京航空航天大学学报(英文版)

OACSCDCSTPCD

1005-1120

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