受热黏弹塑性复合球体的空化问题分析

吉林大学学报(理学版)

受热黏弹塑性复合球体的空化问题分析

陈亚娟^1,2, 尚新春²

1. 河南理工大学土木工程学院, 河南焦作 454000； 2. 北京科技大学应用力学系, 北京 100083

收稿日期:2014-06-18 出版日期:2015-03-26 发布日期:2015-03-24
通讯作者: 陈亚娟 E-mail:juanzichen@hpu.edu.cn

Analysis for Cavitation Problem of HeatedViscoelastic Plastic Composite Ball

CHEN Yajuan^1,2, SHANG Xinchun²

1. School of Civil Engineering, Henan Polytechnic University, Jiaozuo 454000, Henan Province, China;2. Department of Applied Mechanics, University of Science and Technology Beijing, Beijing 100083, China

Received:2014-06-18 Online:2015-03-26 Published:2015-03-24
Contact: CHEN Yajuan E-mail:juanzichen@hpu.edu.cn

摘要/Abstract

摘要：

在有限变形动力学的框架下, 采用Kelvin-Voigt微分型热黏弹性本构关系, 建立球体内空穴运动的非线性数学模型, 得到了球体的几何参数和材料参数与空穴生成时临界温度的变化关系；给出空穴半径随时间增长的动态变化曲线, 并讨论外界温度场、球体的几何尺寸和材料参数对空穴半径增长规律的影响.

关键词: 热黏弹塑性复合球体, 临界温度, 有限变形动力学, 热空化, 动态生长

Abstract:

The nonlinear mathematical model of describing cavity movement in a composite sphere was established via employing KelvinVoigt differential type constitution equations of thermoviscoelasticity with the aid of the dynamical theory of finite deformation. Variation curves of the geometric and material parameter vs the critical temperature were obtained, dynamical variation curves of cavity radius increasing with time were given, and variation rules of cavity radius dynamical increasing with the external temperature, the geometric dimensions, and the material parameters were also discussed.

Key words: thermoviscoelastic plastic composite sphere, critical temperature, finite deformation dynamics, thermal cavitation, dynamical formation and growth

中图分类号:

TB301

陈亚娟, 尚新春. 受热黏弹塑性复合球体的空化问题分析[J]. 吉林大学学报(理学版), 2015, 53(02): 320-326.

CHEN Yajuan, SHANG Xinchun. Analysis for Cavitation Problem of HeatedViscoelastic Plastic Composite Ball[J]. Journal of Jilin University Science Edition, 2015, 53(02): 320-326.