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首页> 外文期刊>Journal of thermal stresses >BODY-FORCE ANALOGY FOR ONE-DIMENSIONAL COUPLED DYNAMIC PROBLEMS OF THERMOELASTICITY
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BODY-FORCE ANALOGY FOR ONE-DIMENSIONAL COUPLED DYNAMIC PROBLEMS OF THERMOELASTICITY

机译：一维热弹性动力耦合问题的体力模拟

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摘要

The classical body-force analogy for static problems of thermoelasticity is extended toward dynamic coupled problems. We consider two dynamic problems,, namely, a thermal problem without body forces, but with a given distribution of transient sources of heat, and a force problem without sources of heat but with body forces. Both problems are treated within the coupled theory of thermoelasticity such that temperature must also be taken into account in the force problem. We restrict our considerations to the one-dimensional case, and we show that, given suitable boundary and initial conditions, a distribution of body forces can be constructed such that the dynamic displacements in both problems become equal. This analogy is checked by means of illustrative analytical examples. We also discuss the relations between the stresses and the temperature in both problems, and we mention that a similar analogy can be established, requiring the temperatures in both problems to be equal
机译：对于热弹性静态问题的经典体力类推方法已扩展到动态耦合问题。我们考虑两个动态问题，即，没有体力但具有给定的瞬态热源分布的热问题，以及没有热源但具有体力的热问题。在热弹性耦合理论中处理了两个问题，因此在力问题中也必须考虑温度。我们将考虑的范围限制在一维情况下，并且表明，在适当的边界条件和初始条件下，可以构造体力的分布，以使两个问题中的动态位移都相等。通过说明性的分析示例检查这种类比。我们还讨论了两个问题中的应力与温度之间的关系，并提到可以建立类似的类比，要求两个问题中的温度相等

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