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应用科学学报 ›› 1991, Vol. 9 ›› Issue (1): 17-23.

• 论文 • 上一篇    下一篇

粘弹性材料中的热量生成率函数及温度场控制方程

欧阳鬯, 徐正义   

  1. 复旦大学;复旦大学
  • 收稿日期:1988-01-16 出版日期:1991-03-31 发布日期:1991-03-31

THE HEAT GENERATION FUNCTION ANDCONTROL EQUATION OF TEMPERATUREFIELD IN VISCOELASTIC MATERIAL

C. OUYANG, Xu ZHENGYI   

  1. Fudan University
  • Received:1988-01-16 Online:1991-03-31 Published:1991-03-31

PDF

69

被引次数

2

摘要： 对均匀、线性、具有时温等效性的粘弹性材料,从不可逆热力学基本定律出发,导出了热量生成率函数及近似温度场控制方程.在周期性变形的条件下,热量生成率函数被表示成了损耗模量及应变振幅的简单关系式.对任意周期形状,利用富里埃展开进行逼近.导得的函数及方程适用于各向异性、正交各向异性及各向同性粘弹性材料.可用来计算钢丝轮胎等粘弹性体的热损耗及温度场.

关键词: 正交各向异性, 温度场控制方程, 周期性, 热量生成率, 各向异性, 粘弹性, 熵增, 各向同性

Abstract: For the homogeneous, linear, time-temperature equivalence viscoelastic material, the heat generation function and approximate control equation of the temperature field are derived from the basic laws of irreversible thermodynamics. The heat generation function is expressed as the simple function of loss modulus and strain amplitude for cyclic deformation. The arbitrary cyclic shape is approximated by Fourier series. The function and equation derived here are suitable for anisotropic, orthotropic and isotropic viscoelastic materials. They can be used to calculate the energy dissipation and temperature field of viscoelastic body, such as steel-cord tire, etc.

Key words: cyclic, viscoelastic, anisotropic, entropy increment, isotropic, heat generation, control equation of temperature field, orthotropic