Rajneesh Kumar, Rajani Rani Gupta. Elastodynamic Analysis at an Interface of Viscous Fluid/Thermoelastic Micropolar Honeycomb Medium due to Inclined Load[J]. Applied Mathematics and Mechanics, 2009, 30(3): 333-344.
 Citation: Rajneesh Kumar, Rajani Rani Gupta. Elastodynamic Analysis at an Interface of Viscous Fluid/Thermoelastic Micropolar Honeycomb Medium due to Inclined Load[J]. Applied Mathematics and Mechanics, 2009, 30(3): 333-344.

# Elastodynamic Analysis at an Interface of Viscous Fluid/Thermoelastic Micropolar Honeycomb Medium due to Inclined Load

• Rev Recd Date: 2008-12-26
• Publish Date: 2009-03-15
• The effect of angle of inclination at the interface of a viscous fluid and thermoelastic micropolar honeycomb solid due to inclined load is investigated. The inclined load was assumed to be a linear combination of normal load and tangential load. The Laplace transform with respect to time variable and Fourier transform with respect to space variable were applied to solve the problem. The expressions in transformed domain of stresses, temperature distribution and pressures were obtained by introducing potential functions. The numerical inversion technique was used to obtain the solution in the physical domain. The expressions in frequency domain and for steady state situation were also obtained with the appropriate change of variables. Graphical representation due to the response of different sources and change of angle of inclination were shown. Some particular cases were also discussed.
•  [1] Eringen A C. Linear theory of micropolar elasticity[J].Journal of Mathematics and Mechanics,1966,15（6）:909-923. [2] Chung J，Waas A M. Elastic imperfection sensitivity of hexagonally packed circular-cell honeycombs[J].Proceedings of the Royal Society of London-A,2002,458(2028):2851-2868. [3] Gibson L J，Ashby M F.Cellular Solids:Structure and Properties[M].Oxford:Pergamon, 1988. [4] Huyang F Y, Yan B H，Yang D U. The effects of material elastic honeycomb structure with negative Poisson's ratio using the finite element method[J].Engineering Computations,2002,19(7):742-763. [5] Liang S，Chen H L. Investigation on the square cell honeycomb structures under axial loading[J].Composite Structures,2006,42(4):446-454. [6] Triplett M H，Schonberg W P. Static and dynamic finite element analysis of honeycomb structure[J].Structural Engineering and Mechanics,1998,6:95-113. [7] Wang X L, Stronge W J. Micropolar theory for two-dimensional stresses in elastic honeycomb[J].Proceedings of the Royal Society of London-A,1999, 455(1986):2091-2116. [8] Yang D U, Huang F Y. Analysis of Poisson's ratio for micropolar elastic rectangular plate using the finite element method[J].Engineering Computations,2001,18(7/8):1012-1030. [9] Lord H, Shulman Y A. Generalized dynamical theory of thermoelasticity[J].Journal of the Mechanics and Physics of Solids,1967,15(5):299-309. [10] Fehler M. Interactions of seismic waves with a viscous liquid layer[J].Bulletin of the Seismological Society of America,1982,72(1):55-72. [11] Fung Y C.Foundations of Solid Mechanics[M].New Delhi:Prentice Hall,1968. [12] Kumar R, Ailawalia P. Elastodynamics of inclined loads in a micropolar cubic crystal[J].Mechanics and Mechanical Engineering,2005,9(2):57-75. [13] Gauthier R D.Mechanics of Micropolar Media[M].In:Brulin O, Hsieh R K T, Eds.Experimental Investigations on Micropolar Media. Singapore:World Scientific, 1982. [14] White F M.Fluid Mechanics[M]. McGraw Hill International edition, 1994.

### Catalog

###### 通讯作者: 陈斌, bchen63@163.com
• 1.

沈阳化工大学材料科学与工程学院 沈阳 110142