文档介绍：Chapter 6 The Basic Solution of
The Temperature Stress Problems
Elasticity
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第六章温度应力问题的基本解法
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Chapter 6 The Basic Solution
of Temperature Stress Problems
§6-4 Solve plane problem of temperature stresses by displacement
§6-3 The boundary conditions of temperature filed
§6-2 The differential equation of heat conduction
§6-1 The basic concept of temperature field and heat conduction
§6-5 The introducing of potential function of
displacement
§6-6 The plane problems of thermal stresses in axisymmetric temperature field
The Basic Solution of The Temperature Stress Problems
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温度应力问题的基本解法
第六章温度应力问题的基本解法
§6-4 按位移求解温度应力的平面问题
§6-3 温度场的边界条件
§6-2 热传导微分方程
§6-1 温度场和热传导的基本概念
§6-5 位移势函数的引用
§6-6 轴对称温度场平面热应力问题
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When the temperature of a elastic body changes, its volume will expand or contract. If the expansion or contraction can’t happen freely due to the external restrictions or internal patibility demands, additional stresses will be produced in the structure. These stresses produced by temperature change are called thermal stresses, or temperature stresses.
Neglecting the effects of the temperature change on the material performance, to solve the temperature stresses, we need two aspects of calculation: (1) Solve the temperature field of the elastic body by the initial conditions and boundary conditions, according to heat conduction equations. And the difference between the former temperature field and the later temperature field is the temperature change of the elastic body. (2) Solve the temperature stresses of the elastic body according to the basic equations of the elastic mechanics. This chapter will present these two aspects of calculation simply.
Chapter 6 The Basic Solution of The Temperature Stress Problems
The Basic Solution of The Temperature Stress Problems
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当弹性体的温度变化时,其体积将趋于膨胀和收缩,若外部的约束或内部的变形协调要求而使膨胀或收缩不能自由发生时,结构中就会出现附加的应力。这种因温度变化而引起的应力称为热应力,或温度应力。
忽略变温对材料性能的影响,为了求得温度应力,需要进行两方面的计算:(1)由问题的初始条件、边界条件,按热传导方程求解弹性体的温度场,而前后两个温度场之差就是弹性体的变温。(2