Calibration of Melt, Shear Modulus, and Flow Stress Models for Cerium Subjected to Intensive Dynamic Loading

M A Zocher ,Leonid Burakovsky,Jeeyeon Plohr

doi:10.3390/app10207209

Abstract

Calibration parameters are developed for melt, shear modulus, and flow stress models for cerium subjected to dynamic loading. Parametric calibration is developed for the Lindemann melt law and for the shear modulus and flow stress models of Steinberg, Cochran, and Guinan.

Highlights

The continuum-level thermo-mechanical problem of predicting the behavior of ductile metallic components subjected to intensive dynamic loading and undergoing plastic flow is of central importance in a number of applications
This is a field of study that has received significant attention over at least the last 170 years. Even with such sustained attention, the problem remains one that is not fully resolved. One reason for this is that closed form solutions of the initial boundary value problem (IBVP) are almost always untenable, and numerical approaches are inherently limited by approximations that the modeler is forced make
Numerical solution of the IBVP requires the simultaneous solution of a coupled set of governing field equations, along with an appropriate set of initial and boundary conditions

Summary

Introduction

The continuum-level thermo-mechanical problem of predicting the behavior of ductile metallic components subjected to intensive dynamic loading and undergoing plastic flow is of central importance in a number of applications. This is a field of study that has received significant attention over at least the last 170 years. Even with such sustained attention, the problem remains one that is not fully resolved One reason for this is that closed form solutions of the initial boundary value problem (IBVP) are almost always untenable, and numerical approaches are inherently limited by approximations that the modeler is forced make. Numerical approaches include the finite element method and the finite volume method, among others

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Methods

Conclusion