Analysis of the Thermal Stress- Focusing Effect in a Spherical Inclusion Embedded in an Infinite Elastic Medium
Analysis of the Thermal Stress- Focusing Effect in a Spherical Inclusion Embedded in an Infinite Elastic Medium
复制标题
无限弹性介质中球形夹杂物的热应力集中效应分析
DOI：
10.1299/jsmea.42.176
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发表时间：
1999
期刊：
影响因子：
--
通讯作者：
T. Hata
中科院分区：
文献类型：
--
作者：
T. Hata
当含球形夹杂的无限大弹性介质突然受到均匀温升作用时，在热冲击作用的瞬间，球形夹杂的界面处会产生应力波。夹杂物中的应力波沿径向向内传播到夹杂物的中心。即使初始热应力应该相对较小，波也可能在中心积聚并引起非常大的应力幅值。这种现象被称为应力集中效应。无限介质中的应力波沿径向传播到无限远。本文用射线积分精确地分析了这些波的作用。研究结果清楚地揭示了无限大弹性介质中夹杂应力集中效应的机理。在特殊情况下，如果球形夹杂的弹性柔量趋于零，问题就变成了含球形孔洞的无限介质中的波动问题。
When an infinite elastic medium with a spherical inclusion is suddenly subjected to a uniform temperature rise, stress waves occur at the interface of spherical inclusion the moment thermal impact is applied. The stress wave in an inclusion proceeds radially inward to the center of the inclusion. The wave may accumulate at the center and cause very large stress magnitudes, even though the initial thermal stress should be relatively small. This phenomenon is called the stress-focusing effect. The stress wave in an infinite medium proceeds radially to infinity. This paper analyzes, in an exact manner, the effects of these waves using the ray integrals. The results give a clear indication of the mechanism of stress-focusing effect in an inclusion embedded in the infinite elastic medium. In the special case, if the elastic compliances of the spherical inclusion tend to be zero, the problem becomes the problem of wave motion in the infinite medium with a spherical cavity.