Stress State of a Transversely Isotropic Medium with an Arbitrarily Oriented Spheroidal Inclusion
作者： V. S. Kirilyuk , O. I. Levchuk
DOI: 10.1007/S10778-005-0069-5
关键词: Superposition principle 、 Fourier transform 、 Transverse isotropy 、 Stress (mechanics) 、 Stress concentration 、 Gaussian quadrature 、 Mathematical analysis 、 Mathematics 、 Multiple integral 、 Space (mathematics)
摘要: The stress-concentration problem for an elastic transversely isotropic medium containing arbitrarily oriented spheroidal inclusion (inhomogeneity) is solved. stress state in the space represented as superposition of principal and perturbed due to inhomogeneity. solved using equivalent-inclusion method, triple Fourier transform variables, Fourier-transformed Green function infinite anisotropic medium. Double integrals over a finite domain are evaluated Gaussian quadrature formulas. In special cases, results compared with those obtained by other authors. influence geometry orientation properties on concentration studied
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sci-hub.se 参考文章(12)
V. S. Kirilyuk, The stress state of an elastic medium with an elliptic crack and two ellipsoidal cavities International Applied Mechanics. ,vol. 39, pp. 829- 839 ,(2003) , 10.1023/A:1026277824212
A. I. Lurie, Alexander Belyaev, Three-dimensional problems in the theory of elasticity Springer, Berlin, Heidelberg. pp. 243- 407 ,(2005) , 10.1007/978-3-540-26455-2_5
V. S. Kirilyuk, Interaction of an Ellipsoidal Inclusion with an Elliptic Crack in an Elastic Material under Triaxial Tension International Applied Mechanics. ,vol. 39, pp. 704- 712 ,(2003) , 10.1023/A:1025750026144
Yu. N. Nemish, Development of analytical methods in three-dimensional problems of the statics of anisotropic bodies (Review) International Applied Mechanics. ,vol. 36, pp. 135- 172 ,(2000) , 10.1007/BF02681992
V. T. Golovchan, Solution of triply periodic problems in the statics of an elastic body with spherical inclusions International Applied Mechanics. ,vol. 22, pp. 623- 631 ,(1986) , 10.1007/BF00889118
T. Mura, D. M. Barnett, Micromechanics of defects in solids ,(1982)
Yurii Nikolaevich Podil'chuk, O. G. Dashko, The Stress–Strain State of an Elastic Ferromagnetic Medium with an Ellipsoidal Inclusion in a Homogeneous Magnetic Field International Applied Mechanics. ,vol. 39, pp. 802- 811 ,(2003) , 10.1023/A:1026221606465
D. M. Barnett, The precise evaluation of derivatives of the anisotropic elastic Green's functions Physica Status Solidi (b). ,vol. 49, pp. 741- 748 ,(1972) , 10.1002/PSSB.2220490238
H. A. Elliott, N. F. Mott, Three-dimensional stress distributions in hexagonal aeolotropic crystals Mathematical Proceedings of the Cambridge Philosophical Society. ,vol. 44, pp. 522- 533 ,(1948) , 10.1017/S0305004100024531
J.D. Eshelby, The Continuum Theory of Lattice Defects Journal of Physics C: Solid State Physics. ,vol. 3, pp. 79- 144 ,(1956) , 10.1016/S0081-1947(08)60132-0