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总览 评价 张锐 1， ， 尚新春 1，2，* （ 1、 北京科技大学国家材料服役安全科学中心； 2、 北京科技大学数学力学系； ） 摘要： 本文研究球体材料表面突然变温后，温度传入的过程对材料内部预先存在的微孔的影响。考虑其准静态过程，在球坐标系下建立组合
张锐1，， 尚新春1，2，*
（
1、北京科技大学国家材料服役安全科学中心； 2、北京科技大学数学力学系； ）
摘要：
本文研究球体材料表面突然变温后，温度传入的过程对材料内部预先存在的微孔的影响。考虑其准静态过程，在球坐标系下建立组合球模型。认为外部球壳是受均匀温度影响的小变形热弹性材料，内部球体是球心处预先存在微孔的大变形弹性材料。给出了微孔在不同温度和不同几何尺寸下的变形情况以及内部球体的变形和应力分布情况。结果表明，考虑大变形的影响时，组合球内部预先存在的微孔有所增长，并且在温度传入的初期，微孔的增长对温度较为敏感。微孔的附近会形成一个很薄的类似边界层的薄层，应力在其中有非常剧烈的变化。
关键词：
预存微孔；组合球壳；几何大变形；突然变温
ZHANG Rui1,， SHANG Xinchun2,*
（
1、National Center for Materials Service Safety School, University of Science and Technology Beijing； 2、National Center for Materials Service Safety； ）
Abstract：
In this paper, after suddenly changing the temperature on the surface of spherical material, study the change of the pre-existing microvoid in material affected by the transfer process of the temperature. Considered the quasi-static process, establish a model of composite sphere under spherical coordinate system. Believe that the material of the external shell is thermoelastic material affected by uniform temperature and it's deformation is small, the material of the internal sphere with a pre-existing microvoid in it's center is elastic material and it's deformation is large. The changes of the microvoid with different temperature and geometrical size and the distribution of stress and defomation in internal sphere are given. The results show that, when considering the effect of large deformation, the pre-existing microvoid in the composite sphere has increase and it is sensitive to temperature in the early stages of the transfer process. There is a thin layer like the boundary layer near the microvoid, in which the stress changed sharply.
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