Abstract
In this paper, the effect of angle inclination at the interface of a viscous fluid and thermoelastic micropolar honeycomb solid due to inclined load is investigated. The inclined load is assumed to be a linear combination of normal load and tangential load. Laplace transform with respect to time variable and Fourier transform with respect to space variable are applied to solve the problem. Expressions of stresses, temperature distribution, and pressures in the transformed domain are obtained by introducing potential functions. The numerical inversion technique is used to obtain the solution in the physical domain. The frequency domain expressions for steady state are also obtained with appropriate change of variables. Graphic representations due to the response of different sources and changes of angle inclination are shown. Some particular cases are also discussed.
Similar content being viewed by others
References
Eringen, A. C. Linear theory of micropolar elasticity. Journal of Mathematics and Mechanics 15, 909–923 (1966)
Chung, J and Waas, A. M. Elastic imperfection sensitivity of hexagonally packed circular-cell honeycombs. Proceedings of the Royal Society of London-A 458, 2851–2868 (2002)
Gibson, L. J. and Ashby, M. F. Cellular Solids: Structure and Properties, Pergamon, Oxford (1988)
Huyang, F. Y., Yan, B. H., and Yang, D. U. The effects of material elastic honeycomb structure with negative Poisson’s ratio using the finite element method. Engineering Computations 19(7), 742–763 (2002)
Liang, S. and Chen, H. L. Investigation on the square cell honeycomb structures under axial loading. Composite Structures 42(4), 446–454 (2006)
Triplett, M. H. and Schonberg, W. P. Static and dynamic finite element analysis of honeycomb structure. Structural Engineering and Mechanics 6, 95–113 (1998)
Wang, X. L. and Stronge, W. J. Micropolar theory for two-dimensional stresses in elastic honeycomb. Proceedings of the Royal Society of London-A 455, 2091–2116 (1999)
Yang, D. U. and Huang, F. Y. Analysis of Poisson’s ratio for micropolar elastic rectangular plate using the finite element method. Engineering Computations 18(7–8), 1012–1030 (2001)
Lord, H. and Shulman, Y. A. Generalized dynamical theory of thermoelasticity. Journal of the Mechanics and Physics of Solids 15, 299–309 (1967)
Fehler, M. Interactions of seismic waves with a viscous liquid layer. Bulletin of the Seismological Society of America 72, 55–72 (1982)
Fung, Y. C. Foundations of Solid Mechanics, Prentice Hall, New Delhi (1968)
Kumar, R. and Ailawalia, P. Elastodynamics of inclined loads in a micropolar cubic crystal. Mechanics and Mechanical Engineering 9(2), 57–75 (2005)
Gauthier, R. D. In experimental investigations on micropolar media. Mechanics of Micropolar Media (eds. Brulin, O.), RKT Hsieh. World Scientific, Singapore (1982)
White, F. M. Fluid Mechanics, Mc graw Hill International edition (1994)
Author information
Authors and Affiliations
Corresponding author
Additional information
(Communicated by Li-qun CHEN)
Rights and permissions
About this article
Cite this article
Kumar, R., Gupta, R.R. Elastodynamic analysis at an interface of viscous fluid/thermoelastic micropolar honeycomb medium due to inclined load. Appl. Math. Mech.-Engl. Ed. 30, 353–364 (2009). https://doi.org/10.1007/s10483-009-0309-6
Received:
Revised:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10483-009-0309-6