DOES A SHEAR-BAND RESULT FROM A THERMAL-EXPLOSION

作     者：BURNS, TJ 

作者机构：Computing and Applied Mathematics Laboratory National Institute of Standards and Technology Gaithersburg MD 20899-0001 USA 

出 版 物：《MECHANICS OF MATERIALS》 (材料力学)

年 卷 期：1994年第17卷第2-3期

页      面：261-271页

核心收录：

学科分类：08[工学] 0805[工学-材料科学与工程（可授工学、理学学位）] 0801[工学-力学（可授工学、理学学位）] 

主　　题：Shear stress 

摘      要：Based on results of computer simulations using the numerical method of lines, a simplified one-dimensional reaction-diffusion type of model, with an Arrhenius-type model for the plastic flow surface, is presented for the localization of thermoelastic-plastic shear in ductile solids into an adiabatic shear band at high strain rate. This model is shown to share a number of similarities with a model of thermal reaction in a rigid solid explosive. Using small strain-rate-sensitivity asymptotics, which is analogous to high activation-energy asymptotics in the mathematical theory of combustion, it is shown there is an analogue in the mathematical theory of plasticity of the ignition problem in chemical combustion. This raises the interesting question: Does an adiabatic shear band result from a thermal explosion?