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无穷远受载的各向同性基体中球向均匀各向异性夹杂的特殊性质(英文)

The Remarkable Nature of the Spherically Uniform Anisotropic Inclusion in an Isotropic Matrix under Remote Traction

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【作者】 胥柏香王敏

【Author】 XU Baixiang,WANG MinzhongState Key Laboratory of Turbulence and Complex Systems,Department of Mechanics and Aerospace Engineering,College of Engineering,Peking University,Beijing 100871

【机构】 中湍流与复杂系统国家重点实验室,北京大学工学院力学与空天技术系

【摘要】 研究了无穷大各向同性基体中完善粘结的球向各向异性球夹杂,发现当基体在无穷远受均匀荷载时,球夹杂同样具有类似的显著性质。结果表明,当0<κ<1,球夹杂中心将出现无穷大应力。而且,在无穷远拉荷载作用下,当0<κ<1/3,将出现空蚀现象;在无穷远压荷载作用下,当0<κ<1,将出现黑洞现象。

【Abstract】 A spherically uniform linear anisotropic spherical inclusion perfectly bounded in an infinite isotropic matrix is studied.When the system is subjected to a remote traction,analytical results show that remarkable natures appear in the spherical inclusion.It is demonstrated that when 0<κ<1 an infinite stress appears at the center of the inclusion.Furthermore,a cavitation is formed in the case of tension loading and 0<κ<1/3,and a blackhole comes into being when a compression loading is applied and 0<κ<1.

【基金】 国家自然科学基金(10672001);Gottlieb Daimler-and Karl Benz-Stiftung奖学金资助
  • 【文献出处】 北京大学学报(自然科学版) ,Acta Scientiarum Naturalium Universitatis Pekinensis , 编辑部邮箱 ,2008年06期
  • 【分类号】O343
  • 【下载频次】64
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