Page 104 - 《应用声学》2021年第4期

第 40 卷 第 4 期 Vol. 40, No. 4
2021 年 7 月 Journal of Applied Acoustics July, 2021

⋄ 研究报告 ⋄

35CrMoA钢塑性损伤非线性超声响应有限元模拟

于淑敏 † 朱 晨 黄志强

(郑州国电机械设计研究所有限公司 郑州 450046)

摘要：基于混合位错超声非线性模型，使用有限元法模拟了非线性超声纵波在 35CrMoA 钢中的传播过程，并
开展了实验验证。结果表明，超声非线性系数与塑性变形具有显著的相关性。金属材料塑性变形引起的超声
非线性响应主要来自于位错，文中使用的有限元模型可以较好地模拟不同塑性变形下 35CrMoA 钢的超声非
线性响应。在塑性变形的早期阶段，超声非线性系数模拟结果低于实验结果，其原因可能是在塑性变形初期，
在位错密度较高的区域出现位错缠结，阻碍了位错运动，从而降低了位错超声非线性响应。在塑性变形后期，
位错密度增加，位错之间相互堆积，形成位错胞和位错墙，而位错胞和位错墙引发的超声非线性响应高于平面
位错。因此，在塑性变形后期超声非线性系数计算结果低于实验结果。
关键词：35CrMoA 钢；超声非线性；二次谐波；塑性损伤；有限元模拟
中图法分类号: TB551 文献标识码: A 文章编号: 1000-310X(2021)04-0588-06
DOI: 10.11684/j.issn.1000-310X.2021.04.013

Finite element simulation of nonlinear ultrasonic response of plastically

deformed 35CrMoA steel

YU Shumin ZHU Chen HUANG Zhiqiang

(Zhengzhou Guodian Mechanical Design Institute Co., Ltd., Zhengzhou 450046, China)

Abstract: Finite element simulations of longitudinal wave propagation in plastically deformed 35CrMoA steel
plates were performed based on the mixed dislocation acoustic nonlinearity model, and experiments were
conducted to verify the simulation. Simulated and experimental results show a strong relationship between the
acoustic nonlinearity parameter and plastic strain. The nonlinear ultrasonic response of metals comes primarily
from the evolutions of dislocations. In the early stage of plastic deformation, the simulated nonlinearity
parameters were overestimated compared with the experimental results due to the dislocation tangle. However,
the nonlinearity parameters obtained in simulations was underestimated in the later stage of plastic deformation
cause the formation of dislocation cells and dislocation walls, which have a larger nonlinear ultrasonic response
than dislocation line.
Keywords: 35CrMoA steel; Ultrasonic nonlinearity; Second-harmonic generation; Plastic damage; Finite
element simulation

2020-09-09 收稿; 2021-04-07 定稿
作者简介: 于淑敏 (1988– ), 女, 河南开封人, 硕士, 研究方向: 无损检测。
† 通信作者 E-mail: yusm@chec.com.cn