摘要
Uniaxial strain hardening exponent is not suitable for describing the strain hardening behaviors of the anisotropic materials, especially when material deforms in the multi-axial stress states. In this work, a novel method was proposed to estimate the equivalent strain hardening exponent of anisotropic materials based on an equivalent energy method. By performing extensive finite element (FE) simulations of the spherical indentation on anisotropic materials, dimensionless function was proposed to correlate the strain hardening exponent of anisotropic materials with the indentation imprint parameters. And then, a mathematic expression on the strain hardening exponent of anisotropic materials with the indentation imprint was established to estimate the equivalent strain hardening exponent of anisotropic materials by directly solving this dimensionless function. Additionally, Meyer equation was modified to determine the yield stress of anisotropic materials. The effectiveness and reliability of the new method were verified by the numerical examples and by its application on the TC1M engineering material.
针对各向异性材料,讨论单一方向的应变硬化指数对复杂应力问题求解的局限性,提出了一种基于等效能量法计算各向异性材料等效应变硬化指数的新方法。首先,设置一系列有限元仿真实验,得出残余压痕参数与等效应变硬化指数的无量纲函数关系式;其次,使用此无量纲函数建立等效应变硬化指数与残余压痕的数学表达式;最后,通过对比数值试验结果验证该方法的有效性。另外,为了确定各向异性材料的屈服强度,对其Meyer关系进行扩展。通过数值实例及对TC1M钛合金的实际应用验证了该新方法的有效性和可靠性。
基金
Project(51675431)supported by the National Natural Science Foundation of China
