Cylindrically anisotropic, radially inhomogeneous elastic materials

被引：33
|
作者：
Alshits, VI
Kirchner, HOK
机构：
[1] Russian Acad Sci, Inst Crystallog, Moscow 117333, Russia
[2] Univ Paris 11, Inst Sci Mat, F-91405 Orsay, France
来源：
PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES | 2001年 / 457卷 / 2007期
关键词：
elasticity; Green's functions; dislocations;
D O I：
10.1098/rspa.2000.0687
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
In cylindrically anisotropic, radially inhomogeneous materials, e.g. tree trunks, the elastic constants referred to a cylindrical coordinate system depend on the radius but not the angle. The elasticity of these media is developed in analogy to layered media in terms of eigenfunction expansions. Green's functions for hollow and full cylinders under various boundary conditions are constructed.
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页码：671 / 693
页数：23
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