Steady state response due to moving load at the free surface of micropolar cubic crystal

• Autorzy: Kumar R. , Ailawalia P.
• Języki publikacji: EN

Abstrakty

EN

The steady-state response of a micropolar cubic crystal due to a moving load has been studied. The eigen value approach using the Fourier transform has been employed and the transform has been inverted by using a numerical technique. The displacement and stress components in the physical domain are obtained numerically. The results of displacement and stresses have been compared for the micropolar cubic crystal and a micropolar isotropic solid. The numerical results are illustrated graphically for a particular model.

Słowa kluczowe

EN

steady state; micropolar cubic crystal; eigenvalue; Fourier transform

PL

teoria sprężystości; materiały plastyczne; kompozyty

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mechanics and Engineering
• Rocznik: 2007
• Tom: Vol. 12, no 2
• Strony: 401--411
• Opis fizyczny: Bibliogr. 27 poz., wykr.

Twórcy

autor

Kumar R.

autor

Ailawalia P.

• Department of Mathematics, Kurukshetra University Kurukshetra, Haryana, INDIA,

Bibliografia

• Bertram A., Bohlke T., Gaffke N., Heiligerss B. and Offinger R. (2000): On the generation of discrete isotropic orientation distributions for linear elastic cubic crystals. - J. Elasticity, vol.58, No.3, pp.233-248.
• Boulanger P. and Hayes M. (2000): Special inhomogeneous plane waves in cubic elastic materials. - Z. Angew. Math. Phys., vol.51, pp.1031-1038.
• Chung D.H and Buessem W.R. (1967): The elastic anisotropy of crystals. - J. Appl. Phys., vol.38, No.5, pp.2010-2012.
• Destrade M. (2001): The explicit secular equation for surface acoustic waves in monoclinic elastic crystals. - J. Acous. Soc. Am., vol.109, No.4, pp.1398-1402.
• Domanski W. and Jablonski T. (2001): On resonances of nonlinear elastic waves in a cubic crystal. - Arch. Mech., vol.53, No.2, pp.91-104.
• Eringen A.C. (1966a): Linear theory of Micropolar Elasticity. - J. Math. Mech., vol.15, pp.909-923.
• Eringen A.C. (1966b): Theory of Micropolar Fluids. - J. Math. Mech., vol.16, pp.1-18.
• Fung Y.C. (1968): Foundations of Solid Mechanics. - New Delhi: Prentice Hall.
• Gauthier R.D. (1982): Experimental investigations on micropolar media, In: O.Brulin, R.K.T.H. Sieh (Eds.). - Mechanics of Micropolar Media, World Scientific, Singapore.
• Halpern M.R and Christiano P. (1986): Steady state harmonic response of a rigid plate bearing on a liquid saturated poroelastic half space. - Earthquake. Eng. and Structural Dynamics, vol.14, pp.439-454.
• Katz R. (2001): The dynamic response of a rotating shaft subject to an axially moving and rotating load. - J. Sound and Vibration, vol.246, No.5, pp.757-775.
• Kobayashi R. and Giga Y. (2001): On anisotropy and curvature effects for growing crystals. - Japan J. Indust. Appl. Math., vol.18, No.2, pp.207-230.
• Kumar R. and Ailawalia P. (2003a): Moving load response at thermal conducting fluid and micropolar solid interface. - Int. J. Applied Mech. Eng., vol.8, pp.621-636.
• Kumar R. and Ailawalia P. (2005): Deformation in micropolar cubic crystal due to various sources. - International Journal of Solids and Structures, vol.42, pp.5931-5944.
• Kumar R. and Ailawalia P. (2006a): Time harmonic sources at micropolar thermoelastic medium possessing cubic symmetry with one relaxation time. - European Journal of Mechanics a Solids, vol.25, pp.271-282.
• Kumar R. and Ailawalia P. (2006b): Interaction due to mechanical sources in micropolar cubic crystal. - International Journal of Applied Mechanics and Engineering, vol.11, No.2, pp.337-357.
• Kumar R. and Deswal S. (2000): Steady state response of a micropolar generalized thermoelastic half space to the moving mechanical/thermal loads. - Proc. Indian. Acad.Sci.(Math.Sci.), vol.110, No.4, pp.449-465.
• Kumar R. and Deswal S. (2002): Steady State Response to moving loads in a micropolar generalized thermoelastic half space without energy dissipation. - Ganita, vol.53, No.1, p.23-42.
• Kumar R and Gogna M.L. (1992): Steady state response to moving loads in micropolar elastic medium with stretch. - Int. J. Eng. Sci., vol.30, pp.811-820.
• Kumar R. and Rani L. (2003): Elastodynamics of time harmonic sources in a thermally conducting cubic crystal. - Int. J. Appl. Mech. Eng., vol.8, pp.637-650.
• Lie K-H.C and Koehler J.S. (1968): The elastic stress field produced by a point force in a cubic crystal. - Adv. Phys. vol.17, pp.421-478.
• Minagawa S., Arakawa K. and Yamada M. (1981): Dispersion curves for waves in a cubic micropolar medium with reference to estimations of the material constants for diamond. - Bull. JSME., vol.24, No.187, pp.22-28.
• Nath S. and Sengupta P.R. (1999): Steady state response to moving loads in an elastic solid media. - Indian .J. Pure. Appl. Math., vol.30, pp.317-327.
• Press W.H., Teukolsky S.A., Vellerling W.T and Flannery B.P. (1986): Numerical Recipes, (Cambridge: Cambridge University Press).
• Steeds J.W. (1973): Introduction to Anisotropic Elasticity Theory of Dislocations. - Oxford: Clarendon Press.
• Verruijt A. and Cordova C.C. (2001): Moving loads on an elastic half plane with hysteretic damping. - J. Appl. Mechanics, vol.68, pp.915-922.
• Zhou F. and Ogawa A. (2002): Elastic solutions for a solid rotating disk with cubic anisotropy. - ASME, J. Appl. Mech. vol.69, pp.81-83.