Response due to mechanical source in second axisymmetric problem of micropolar elastic medium
More details
Hide details
Department of Mathematics S.G.A.D. Govt. College Tarn Taran, Punjab, INDIA-143401
Online publication date: 2014-03-07
Publication date: 2013-12-01
International Journal of Applied Mechanics and Engineering 2013;18(4):1249-1261
The second axisymmetric problem in a micropolar elastic medium has been investigated by employing an eigen value approach after applying the Laplace and the Hankel transforms. An example of infinite space with concentrated force at the origin has been presented to illustrate the application of the approach. The integral transforms have been inversed by using a numerical technique to obtain the components of microrotation, displacement, force stress and couple stress in the physical domain. The results for these quantities are given and illustratred graphically.
Craciun IA. (2012): On some axial-symmetric problems of the micropolar elasticity theory. - Matematica Mecanica Theoretica, vol.58, pp.7-24 .
Chirita S. and Aron M. (1999): Aspects of Saint-Venant’s principle in the dynamical theory of linear micropolar elasticity. - Math. Mech. Solids, vol.4, pp.17-34 .
Das N.C., Das S.N. and Das B.(1983): Eigen value approach to thermoelasticity. - J. Thermal Stresses ,vol.6, pp.5-43.
Das N.C., Lahiri A. and Giri P.R. (1997): Eigen value approach to generalized thermoelasticity. - Ind. J. Pure Appl..Math., vol.28, pp.1573-1596.
Elangovan S., Altan B.S and Odegard G.M. (2008): An elastic micropolar mixture theory for predicting elastic properties of cellular materials. - Mechanics of Materials, vol.40, pp.602-615.
Eringen A.C. and Suhubi E.S. (1964): Non-linear theory of simple microelastic solids. - I. Int. J. Engng. Sci., vol.2, pp.189-203.
Eringen A.C. (1966): Linear theory of micropolar elasticity. - J. Math. Mech., vol.15, pp.909-923.
Gauthier R.D. (1982): Mechanics of micropolar media. - In: Experimental Investigation on Micropolar Media. O Brulin and RK.T. Hseieh (ed.), World Scientific, Singapore, He J.-H. (2000): A classical variational model for micropolar elastodynamics. - Int. J. Non-Linear Sci. Numer. Simul., vol.1, pp.133-138.
Honig G. and Hirdes V. (1984): A method for the numerical inversion of the Laplace transforms. - Journal of Computational and Applied Mathematics, vol.10, pp.113-132.
Kumar R. and Ailawalia P. (2004): Response to moving load at elastic/micropolar solid interface. - South East Asian Journal Math. and Math. Sc., vol.2,pp.67-82.
Kumar R. and Ailawalia P. (2005): Moving inclined load at boundary surface. - Applied Mathematics and Mechanics (English Edition), vol.26, pp.476-485.
Kumar R. and Ailawalia P. (2006): Interaction due to mechanical /thermal sources in a micropolar thermoelastic medium possessing cubic symmetry. - International Journal of Solids and Structures, vol.43, pp.2761-2798.
Kumar R. and Choudhary S. (2002): Axi-symmetric problem in time harmonic sources in a micropolar elastic medium. - Indian. J. Pure Appl. Math. ,vol.33,pp.1169-1182.
Kumar R. and Gupta R.R. (2009): Thermomechanical deformation in an orthotropic micropolar thermoelastic solid. - International Journal of Thermophysics, vol.30, pp.693-709.
Mahalanabis R.K. and Manna J. (1989): Eigen value approach to linear micropolar elasticity. - Ind. J. Pure Appl.Math., vol.20, pp.1237-1250.
Manna J. and Mahalanabis R.K. (1997): Eigen value approach to linear micropolar elasticity. - J. Indian Acad. Math., vol.19, pp.69-86, Press W.H., Teukolsky S.A., Vellerlig W.T. and Flannery B.P. (1986): Numerical Recipes in FORTRAN, 2nd Edition. - Cambridge: Cambridge University Press.
Saxena H.S. and Dhaliwal R.S. (1990): Eigen value approach to coupled elasticity. - J. Thermal Stresses, vol.13, pp.161-175.
Schiavone P. (2001): Integral solution of mixed problems in a theory of plane strain elasticity with microstructure. - Int. J. Engng. Sci.,vol.39, pp.1091-1100.
Sharma J.N. and Chand D. (1992): On the axisymmetric and plane strain problems of generalized thermoelasticity. - Int. J. Engng. Sci., vol.33, pp.223-230.
Sharma J.N. and Kumar V. (1996): On axisymmetric problems of generalized anisotropic thermoelasticity. - J. Thermal Stresses, vol.19, pp.781-794.
Singh R., Kumar M. and Sood S. (2012): Response due to impulsive force in micropolar elastic solid. - Indian Journal of Theoretical Physics ,vol.60, pp.307-320.
Singh R. and Singh K. (2013): Eigen value approach in micropolar elastic medium with void. - International Journal of Applied Mechanics and Engineering, vol.18, pp.521-536.
Journals System - logo
Scroll to top