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2005 | Vol. 9, nr 2 | 57--75
Tytuł artykułu

Elastodynamics of Inclined Loads in a Micropolar Cubic Crystal

Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
The analytic expressions for the displacement components, microrotation and stresses at any point in an infinite micropolar cubic crystal as a result of inclined load of arbitrary orientation have been obtained. The inclined load is assumed to be a linear combination of a normal load and a tangential load. The eigenvalue approach using Laplace and Fourier Transforms has been employed and the transforms has been inverted by using a numerical technique. The numerical results are illustrated graphically for a particular material.
Wydawca

Rocznik
Strony
57--75
Opis fizyczny
Bibliogr. 20 poz.
Twórcy
autor
  • Department of Applied Sciences Institute of Engineering and Emerging Technologies, Makhnumajra, Baddi Distt. Solan, H.P. INDIA, 173205, praveen 2117@rediffmail.com
Bibliografia
  • [1] Bertram, A, Bohlke, T, Gaffke N, Heiligers, B and Offinger, R: On the generation of discrete isotropic orientation distributions for linear elastic cubic crystals, J. Elasticity, (2000), 58, 3, 233-248.
  • [2] Boulanger, P and Hayes, M: Special inhomogeneous plane waves in cubic elastic materials, Z. Angew. Math. Phys., (2000), 51, 1031-1038.
  • [3] Chung, DH and Buessem, WR: The elastic anisotropy of crystals, J. Appl. Phys., (1967), 38(5), 2010-2012.
  • [4] Destrade, M: The explicit secular equation for surface acoustic waves in monoclinic elastic crystals, (2001), J. Acous. Soc. Am., 109,4, 1398-1402.
  • [5] Domanski, W and Jablonski, T: On resonances of nonlinear elastic waves in a cubic crystal, (2001), Arch. Mech., 53,2, 91-104.
  • [6] Eringen, AC: Linear theory of Micropolar Elasticity, (1966a), J. Math. Mech., 15, 909-923.
  • [7] Eringen, AC: Theory of Micropolar fluids, (1966b), J. Math. Mech., 16, 1-18.
  • [8] Gauthier, RD: Experimental investigations on micropolar media, in: Brulin, O, Hsieh, R.K.T. (Eds.), Mechanics of Micropolar Media, World Scientific, (1982), Singapore.
  • [9] Garg, NR, Kumar R, Goel A, and Miglani A: Plane strain deformation of an orthotropic elastic medium using eigen value approach, (2003), Earth Planets Space, 55, 3-9.
  • [10] Honig, G and Hirdes, V: A method for the numerical inversion of the Laplace transform, (1984), J. Comp. Appl. Math., 10, 113-132.
  • [11] Kobayashi, R and Giga, Y: On anisotropy and curvature effects for growing crystals, (2001), Japan J. Indust. Appl. Math., 18,2, 207-230.
  • [12] Kumar, R and Ailawalia, P: Behavior of Micropolar cubic crystal due to various sources, (2005a), Journal of Sound and Vibration, 283, 875-890.
  • [13] Kumar, R and Ailawalia, P: Deformation in Micropolar cubic crystal due to various sources, (2005b), Int. J. Solids and Structures , 42,23, 5931-5944.
  • [14] Kumar, R and Rani, L: Elastodynamics of time harmonic sources in a thermally conducting cubic crystal, Int. J. Appl. Mech. Eng., (2003), 8,(4), 637-650.
  • [15] Kuo, JT: Static response of a multilayered medium under inclined surface loads, (1969), J. Geophysical Research, 74,(12), 3195-3207.
  • [16] Lie, K-HC and Koehler, JS: The elastic stress field produced by a point force in a cubic crystal, (1968), Adv. Phys., 17, 421-478.
  • [17] Minagawa S, Arakawa K, Yamada, M: Dispersion curves for waves in a cubic micropolar medium with reference to Estimations of the Material constants for Diamond, (1981), Bull. JSME., 24,(187), 22-28.
  • [18] Press, WH, Teukolsky, SA, Vellerling, WT and Flannery, BP: (1986), Numerical Recipes, Cambridge: Cambridge University Press.
  • [19] Steeds, JW: Introduction to Anisotropic Elasticity Theory of Dislocations, (1973), Clarendon Press, Oxford.
  • [20] Zhou, F and Ogawa, A: Elastic solutions for a solid rotating disk with cubic anisotropy, (2002), ASME, J. Appl. Mech., 69, 81-83.
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.baztech-article-LOD5-0006-0017
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