Interactions due to mechanical sources in microstretch viscoelastic solid

• Autorzy: Singh R. , Kumar R.
• Języki publikacji: EN

Abstrakty

EN

The eigen value approach, following Laplace and Fourier transforms, has been employed to find the general solution to the field equations in a microstretch viscoelastic medium for the plane strain problem. An application of an infinite space with an impulsive normal point force and influence function has been taken to illustrate the utility of the approach. The integral transforms have been inverted by using a numerical inversion technique to get the results in the physical domain. The results in the form of normal displacement, normal force stress, tangential force stress, tangential couple stress and microstress components have been obtained numerically and illustrated graphically to depict the effects of stretch and viscosity. Special cases of a microstretch elastic solid and micropolar elastic solid have also been deduced.

Słowa kluczowe

EN

microstretch viscoelastic solid; Laplace-Fourier transforms; eigenvalue; concentrated force; Romberg's integration

PL

transformacja Laplace'a-Fouriera; wartość własna; siła skupiona

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mechanics and Engineering
• Rocznik: 2008
• Tom: Vol. 13, no 3
• Strony: 781--796
• Opis fizyczny: Bibliogr. 11 poz., wykr.

Twórcy

autor

Singh R.

autor

Kumar R.

• Department of Mathematics S.G.A.D. Govt. College Tarn Taran -143401 Distt. Tarn Taran, Punjab, INDIA,

Bibliografia

• De Cicco S. and Nappa L. (1998): On Saint Venant's principle for micropolar viscielastic bodies. - Int. J. Eng. Sci., vol.36, pp883-893.
• EL-Karmany Ahmed S. (2002): Uniqueness and reciprocity theorems in generalized linear micropolar thermoviscoelasticity. - Int. J. Eng. Sci., vol.40, pp.2097-2117.
• Eringen A.C. (1966): Linear theory of micropolarelasticity. - J. Math. Mech., vol.15, pp.909-923.
• Eringen A.C. (1967): Linear theory of micropolar viscoelasticity. - Int. J. Eng. Sci., vol.5, pp.191-729.
• Eringen A.C. (1971): Micropolar elastic solids with stretch. - Air Kitabevi Matbassi, vol.24, pp.1-18.
• Eringen A.C. (1990): Theory of thermo-microstretch elastic solids. - Int. J. Eng. Sci., vol.28, pp.1291-1301.
• Honig G. and Hirdes U. (1984): A method for the numerical inversion of the Laplace transforms. - J. Comp. Appl. Math., vol.10, pp.113-132.
• Kumar R. and Choudhary S. (2001): Dynamical probleum of micropolarviscoelasticity. - Proc. Indian Acad. Sci. (Earth Planet. Sci.), vol.110, pp.215-223.
• Kumar R. and Singh B. (2000): Reflection of plane waves at a planar visoelastic micropolar interface. - Indian J. Pure Appl. Math., vol.31, pp.287-303.
• Press W.H., Teukolsky S.A., Vellering W.T. and Flannery B.P. (1986): (Second edition): Numerical Recipes in FORTRAN, (Cambridge University Press, Cambridge).
• Voigt W. (1987): Theoritiske studien uber die elastizitatsverhaltnisse der krystalle. - Brauns chweig. Abh. Wiss. Ges. vol.34, pp.3-51.