二维包层夹杂中性应变场与体应变场的关系
On coated inclusions neutral to bulk strain fields in two dimensions
摘要：
研究了二维各向同性弹性力学中的中性夹杂问题。当中性夹杂物插入具有均匀外加场的基体中时，不干扰夹杂物外部的场。夹杂物由任意形状的核壳组成，其弹性张量为各向同性。我们表明，如果涂层夹杂物是中性的一个均匀的体积场，那么核和壳必须同心圆盘，提供的剪切和体积模量满足一定的条件。
英文摘要：
The neutral inclusion problem in two dimensional isotropic elasticity is considered. The neutral inclusion, when inserted in a matrix having a uniform applied field, does not disturb the field outside the inclusion. The inclusion consists of the core and shell of arbitrary shapes, and their elasticity tensors are isotropic. We show that if the coated inclusion is neutral to a uniform bulk field, then the core and shell must be concentric disks, provided that the shear and bulk moduli satisfy certain conditions.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
