The present investigation is concerned with interaction due to a mechanical source in transversely isotropic micropolar elastic media, determined using the finite element method. A particular type of normal force has been taken to illustrate the utility of the approach. The components of displacement, stress and microrotation are obtained and depicted graphically for a specific model. A special case of interest is also deduced from the present investigation.
AbbasIA (2012a) Finite element analysis of the generalized thermoelastic interactions in an elastic half space subjected to a ramp-type heating. Journal of Physics, 1(2): 3–9.
2.
AbbasIA (2012b) Generalized magneto-thermoelastic interaction in a fiber-reinforced anisotropic hollow cylinder. International Journal of Thermophysics, 33(3): 567–579.
3.
AbbasIAAbd-allaAN (2008) Effects of thermal relaxations on thermoelastic interactions in an infinite orthotropic elastic medium with a cylindrical cavity. Archive of Applied Mechanics, 78(4): 283–293.
4.
AbbasIAOthmanMI (2011) Generalized thermoelastic interaction in a fiber-reinforced anisotropic half-space under hydrostatic initial stress. Journal of Vibration and Control, 18(2): 175–182.
5.
AbbasIAOthmanMI (2012) Generalized thermoelasticity of thermal shock problem in an isotropic hollow cylinder and temperature dependent elastic moduli. Chinese Physics B, 21(1): 014601–014601.
6.
AbbasIAPalaniG (2010) The effects of magneto hydro dynamic flow paste a vertical plate with variable surface temperature. Applied Mathematics and Mechanics, 31(3): 329–338.
7.
AbubakarI (1962) Free vibrations of a transversely isotropic plate. The Quarterly Journal of Mechanics and Applied Mathematics. (15)1: 129–136.
8.
EllahiRZeeshanA (2012) Analytical Solutions for Nonlinear Partial Differential Equations, Germany: LAMBERT Academic Publishing GmbH & Co. KG Germany.
9.
EringenAC (1966) Linear theory of micropolar elasticity. Journal of Mathematics and Mechanics, 15(6): 909–923.
10.
EringenAC (1999) Microcontinuum Field Theories I: Foundations and Solids, New York: Springer.
11.
KumarRDeswalS (2006) Some problems of wave propagation in a micropolar elastic medium with voids. Journal of Vibration and Control, 12(8): 849–879.
12.
MindlinRD (1964) Microstructure in linear elasticity. Archive for Rational Mechanics and Analysis, 16(1): 51–78.
13.
OthmanMIAbbasIA (2011) Effect of rotation on plane waves at the free surface of a fibre reinforced thermoelastic half-space using the finite element method. Meccanica, 46(2): 413–421.
14.
Othman MI and Abbas IA (2012) Generalized thermoelasticity of thermal shock problem in a non-homogeneous isotropic hollow cylinder with energy dissipation. International Journal of Thermophysics 33(5): 913–923.
15.
PaytonRG (1992) Wave propagation in a restricted transversely isotropic elastic solid whose slowness surface contains conical points. The Quarterly Journal of Mechanics and Applied Mathematics, 45(2): 183–197.
16.
SlaughterWS (2002) The Linearized Theory of Elasticity, Boston: Birkhauser.
17.
SuhubiESEringenAC (1964) Non-linear theory of simple microelastic solids II. International Journal of Engineering Science, 2(4): 389–404.
18.
SuvalovALPonceletODeschampsM (2005) Long-wavelength dispersion of acoustic waves in transversely inhomogeneous anisotropic plates. Wave Motion, 42(4): 367–382.
19.
TomarSK (2005) Wave propagation in a micropolar elastic plate with voids. Journal of Vibration and Control, 11(6): 849–863.
20.
VenkatachalamRBalasivanandhaPSVenkateshRK (2012) Finite element based investigation on vibrational performance of a sandwich system. Journal of Vibration and Control, 18(9): 1284–1290.
21.
VikasA (2011) Comparative study of finite element model updating methods. Journal of Vibration and Control, 17(13): 2023–2039.
22.
WriggersP (2008) Nonlinear Finite Element Methods, Berlin, Heidelberg: Springer.
