Stroh formalism in evaluation of 3D Green's function in thermomagnetoelectroelastic anisotropic medium

被引:4
作者
Pasternak, Iaroslav [1 ]
Pasternak, Viktoriya [1 ]
Pasternak, Roman [1 ]
Sulym, Heorhiy [2 ]
机构
[1] Lutsk Natl Tech Univ, Lvivska Str 75, UA-43018 Lutsk, Ukraine
[2] Bialystok Tech Univ, Wiejska Str 45C, PL-15351 Bialystok, Poland
关键词
Thermomagnetoelectroelastic; Anisotropic; Stroh formalism; Green's function; MAGNETOELECTROELASTIC MEDIA; FUNDAMENTAL SOLUTION; BIMATERIALS;
D O I
10.1016/j.mechrescom.2017.06.001
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
The paper presents studies on the Green's function for thermomagnetoelectroelastic medium and its reduction to the contour integral. Based on the previous studies the thermomagnetoelectroelastic Green's function is presented as a surface integral over a half-sphere. The latter is then reduced to the double integral, which inner integral is evaluated explicitly using the complex variable calculus and the Stroh formalism. Thus, the Green's function is reduced to the contour integral. Since the latter is evaluated over the period of the integrand, the paper proposes to use trapezoid rule for its numerical evaluation with exponential convergence. Several numerical examples are presented, which shows efficiency of the proposed approach for evaluation of Green's function in thermomagnetoelectroelastic anisotropic solids. (C) 2017 Elsevier Ltd. All rights reserved.
引用
收藏
页码:20 / 26
页数:7
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