Abstract An approach for the inverse estimation of the elastoplastic properties from a single indentation with a Berkovich indenter was developed. The relationship between the load-displacement and stress-strain curves was derived based on the equivalent energy principle, while an approximate equation for pile-up height was determined using elastic and plastic limits. The approach proposed in this study estimates the yield stress and strain-hardening exponent from hardness and pile-up height obtained from a single indentation based on these fundamental equations. The coefficients in the equations were determined in a parametric study using finite element analyses. The accuracy of the inverse estimation technique was confirmed using aluminum alloy and stainless steel samples and reference tensile testing.

中文翻译：

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使用载荷-位移曲线和单个 Berkovich 压痕堆积形貌的弹塑性逆估计方法

摘要 开发了一种用 Berkovich 压头对单个压痕弹塑性性能进行逆估计的方法。基于等效能量原理推导出载荷-位移和应力-应变曲线之间的关系，同时利用弹性和塑性极限确定堆积高度的近似方程。本研究中提出的方法根据基于这些基本方程的单个压痕获得的硬度和堆积高度来估计屈服应力和应变硬化指数。方程中的系数是在使用有限元分析的参数研究中确定的。使用铝合金和不锈钢样品以及参考拉伸试验证实了逆估计技术的准确性。