热冲击下分区均质材料耦合热弹性问题的变分原理

热冲击下分区均质材料耦合热弹性问题的变分原理 Variational Principles on Coupled Thermal-Elasticity of Zoned Homogeneous Materials Under Thermal Shock 尚钢 SHANG Gang 1 first-author 武汉工业大学工程结构与力学系,武汉,430070 武汉工业大学工程结构与力学系,武汉,430070 Department of Engineering Structure and Mechanics, Wuhan University of Technology Department of Engineering Structure and Mechanics, Wuhan University of Technology 针对分区均质材料，考虑了热冲击产生的惯性效果和较大的应变速率对温度场的影响，建立了描述热冲击问题的理论模型，证明了热冲击下分区均质材料耦合热弹性问题的变分原理．为热冲击下分区均质材料耦合热弹性问题的定量求解，提供了理论基础． A theoretical model to describe the thermal shock problem is established in this paper. Considering the zoned homogeneous materials, the influence of inertial effect associated wit the thermal shock and the larger strain rate on the field of temperature is discussed.Otherwise the variational principles on coupled thermal\|elasticity of the zoned homogeneous materials is proved. So the theoretical basis of such kind of problem is laid. 热冲击 分区均质材料 耦合热弹性 变分原理 O343.6 国家自然科学基金(61672102) 1999-05-01 2021-04-01 5