Abstract

In this paper, the processes occurring during laser-shock-wave processing of titanium alloys with the shape memory effect by the methods of dimensional analysis and finite element modeling are discussed. The main dimensionless parameters that control the distribution of residual stresses and the depth of the plastic zone arising during laser-shock-wave treatment were established to be the dimensionless duration of the action of the laser pulse and the peak pressure in the shock wave. The effect of the indicated dimensionless parameters on the residual stresses arising during laser-shock-wave processing in alloys with the shape memory effect was numerically studied based on the adopted constitutive relation, which takes into account the martensitic transformation. Numerical results that quantitatively reveal the regularities of the effect of the above dimensionless parameters on the residual stresses are obtained. Obtained by numerical modeling, the relation between the plastic zone depth and the peak pressure in the shock wave is confirmed by comparison with similar experimental results known in the literature.

中文翻译：

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基于尺寸分析的形状记忆钛合金激光冲击波加工工艺模拟

摘要

在本文中，通过尺寸分析和有限元建模方法讨论了具有形状记忆效应的钛合金激光冲击波加工过程中发生的过程。控制激光冲击波处理过程中产生的残余应力分布和塑性区深度的主要无量纲参数被确定为激光脉冲作用的无量纲持续时间和冲击波中的峰值压力。基于所采用的本构关系，考虑到马氏体相变，数值研究了指定的无量纲参数对具有形状记忆效应的合金在激光冲击波加工过程中产生的残余应力的影响。获得了定量揭示上述无量纲参数对残余应力影响规律的数值结果。通过数值模拟获得，塑性区深度与冲击波中的峰值压力之间的关系通过与文献中已知的类似实验结果的比较得到证实。