Expanding Cavity Model Combined With Johnson-Cook Constitutive Equation for the Dynamic Indentation Problem
Expanding Cavity Model Combined With Johnson-Cook Constitutive Equation for the Dynamic Indentation Problem
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DOI：
10.1115/1.4045329
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发表时间：
2020-04-01
影响因子：
1.2
通讯作者：
Arai, Masayuki
中科院分区：
文献类型：
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作者：
Ito, Kiyohiro;Arai, Masayuki
小物体的高速撞击在金属部件上形成的压痕会使部件断裂，这被称为异物损伤。在这种类型的动态压痕中，有必要考虑被冲击材料的加工硬化、应变率硬化和热软化的影响。在这项研究中，为了考虑这些影响，基于球形配方的扩张腔模型通过动态压痕问题的Johnson-Cook本构方程进行修改。基于能量守恒和修正的膨胀空腔模型，建立了一个计算实心球撞击压痕尺寸的方程。等效塑性应变、等效塑性应变速率、温度和等效von Mises应力的分布与有限元分析结果吻合较好。此外，它被证明，EPIS准确地预测在50-300 m/s的范围内的几个冲击速度在各种金属材料上形成的压痕尺寸。因此，EPIS可以有效地应用于硬球撞击到足够厚的韧性材料在300米/秒内没有任何帮助的FEA的问题。
The indentation formed on a metallic component by the high-velocity impingement of a small object can fracture the component, and this is known as foreign object damage. In this type of dynamic indentation, it is necessary to consider the effects of work hardening, strain rate hardening, and thermal softening in the impinged material. In this study, in order to consider these effects, the expanding cavity model based on a spherical formulation is modified via the Johnson-Cook constitutive equation for the dynamic indentation problem. Additionally, an equation is developed based on energy conservation and the modified expanding cavity model to predict the size of the indentation formed by an impingement of a solid sphere (EPIS). The distributions of equivalent plastic strain, equivalent plastic strain rate, temperature, and equivalent von Mises stress obtained via the expanding cavity model were in good agreement with the data obtained from the finite element analysis (FEA). Furthermore, it was demonstrated that EPIS accurately predicted the indentation size formed on various metallic materials at several impingement velocities in the range of 50-300 m/s. Consequently, EPIS can be effectively applied to an impingement problem of a hard sphere onto a sufficiently thick ductile material within 300 m/s without any help of FEA.