Thoughts on the Concept of Stress
Thoughts on the Concept of Stress
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关于压力概念的思考
DOI：
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发表时间：
2010
期刊：
影响因子：
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通讯作者：
W. Noll
中科院分区：
文献类型：
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作者：
W. Noll
接触应力的概念是由柯西在1823年提出的。这是我在第4节中称之为表面相互作用接触器的一个特例。另一个特例是热通量，它是傅立叶在世纪初提出的。在过去60年左右的时间里，人们做了大量的工作来研究证明接触器存在所需的条件，但仍然存在一些悬而未决的问题。最近，应力的概念被认为是描述在一定距离的相互作用。对于力的相互作用，我把这种应力称为到达应力，并在第5节和第6节中给出了精确的数学定义。也许接触应力可以作为到达应力的极限情况导出。
The concept of contact stress was introduced by Cauchy in 1823. It is a special case of what, in Sect. 4, I call a contactor for a surface interaction. Another special case is heat flux, introduced by Fourier in the beginning of the 19th century. In the past 60 years or so, a lot of work has been done to investigate the conditions needed to prove the existence of contactors, but there are still open questions. More recently, a concept of stress has been considered that describes interactions at a distance. For force-interactions, I call this kind of stress a reaching stress and give a precise mathematical definition in Sects. 5 and 6. Perhaps contact stresses can be derived as limit cases of reaching stresses.