Consistent constitutive modeling of metallic target penetration using empirical, analytical, and numerical penetration models

作     者：John(Jack) P.RIEGEL III David DAVISON 

作者机构：R3 Technology Inc. 7324 Fountain Spring Ct. Shock Transients Inc. 

出 版 物：《Defence Technology（防务技术）》 (Defence Technology)

年 卷 期：2016年第12卷第2期

页      面：201-213页

核心收录：

学科分类：08[工学] 0826[工学-兵器科学与技术] 

基　　金：the authors acknowledge helpful suggestions from the extensive review the original paper received 

主　　题：本构模型 渗透模型 数值模型 金属靶 材料性质 流动应力 程序模拟 数值计算 

摘      要：Historically, there has been little correlation between the material properties used in(1) empirical formulae,(2) analytical formulations, and(3) numerical models. The various regressions and models may each provide excellent agreement for the depth of penetration into semi-infinite targets. But the input parameters for the empirically based procedures may have little in common with either the analytical model or the numerical model. This paper builds on previous work by Riegel and Anderson(2014) to show how the Effective Flow Stress(EFS) strength model, based on empirical data, can be used as the average flow stress in the analytical Walker–Anderson Penetration model(WAPEN)(Anderson and Walker,1991) and how the same value may be utilized as an effective von Mises yield strength in numerical hydrocode simulations to predict the depth of penetration for eroding projectiles at impact velocities in the mechanical response regime of the materials. The method has the benefit of allowing the three techniques(empirical, analytical, and numerical) to work in tandem. The empirical method can be used for many shot line calculations, but more advanced analytical or numerical models can be employed when necessary to address specific geometries such as edge effects or layering that are not treated by the simpler methods. Developing complete constitutive relationships for a material can be costly. If the only concern is depth of penetration, such a level of detail may not be required. The effective flow stress can be determined from a small set of depth of penetration experiments in many cases, especially for long penetrators such as the L/D = 10 ones considered here, making it a very practical approach. In the process of performing this effort, the authors considered numerical simulations by other researchers based on the same set of experimental data that the authors used for their empirical and analytical assessment. The goals were to establish a baseline with a full constitut