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Elastodynamics of Inclined Loads in a Micropolar Cubic Crystal

Identyfikatory
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.
Rocznik
Strony
57--75
Opis fizyczny
Bibliogr. 20 poz.
Twórcy
autor
  • Department of Mathematics, Kurukshetra University Kurukshetra, Haryana, INDIA, 136119
autor
  • Department of Applied Sciences Institute of Engineering and Emerging Technologies, Makhnumajra, Baddi Distt. Solan, H.P. INDIA, 173205
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
Identyfikator YADDA
bwmeta1.element.baztech-article-LOD5-0006-0017
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