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Some remarks on recent developments in micropolar continuum theory

机译:关于Micropolar Continuum理论的最新发展的一些评论

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This paper considers micropolar media that can undergo structural changes and do not a priori consist of indestructible material particles. Initially the pertinent literature is reviewed. Then the necessary theoretical framework for a continuum of that type is presented. The standard macroscopic equations for mass, linear and angular momentum are complemented by a recently proposed balance for the moment of inertia tensor, which contains a production term. Two examples illustrate the effect of the production. In the first example, we study a continuous stream of matter on a conveyor belt going through a crusher so that the total number of particles will change. In context with this example, it is also clear that the traditional Lagrangian way of describing the motion of solids is no longer adequate and must be replaced by the Eulerian point of view known from fluid mechanics. The second example deals with hollow particles which rotate because of the presence of body couples. Now a transient temperature field is superimposed such that the moment of inertia field changes due to the thermal expansion of particles. This in turn results in rotational motion that is no longer constant but varies in space and time.
机译:本文考虑了可以进行结构变化的微柱介质,并且不优先由可耐常可的材料颗粒组成。最初审查了相关文献。然后提出了该类型连续的必要理论框架。质量,线性和角动量的标准宏观方程是通过最近提出的惯性张量的额定平衡来补充,其中包含生产术语。两个例子说明了生产的效果。在第一个例子中,我们研究了通过破碎机的传送带上的连续物质流,使得粒子的总数将改变。在本例的背景下,还可以清楚地说,传统的拉格朗日描述固体运动的方式不再适当,并且必须由流体力学的欧拉观点取代。第二个例子涉及中空颗粒,由于身体耦合的存在而旋转。现在,瞬态温度场叠加,使得由于颗粒的热膨胀,惯性场的惯性田间变化。这反过来导致旋转运动不再恒定,但在空间和时间内变化。

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