Nowa wersja platformy, zawierająca wyłącznie zasoby pełnotekstowe, jest już dostępna.
Przejdź na https://bibliotekanauki.pl

PL EN


Preferencje help
Widoczny [Schowaj] Abstrakt
Liczba wyników
2005 | Vol. 10, no 1 | 109-122
Tytuł artykułu

Interactions due to inclined load at micropolar elastic half-space with voids

Wybrane pełne teksty z tego czasopisma
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
The analytic expressions for the displacements, microrotation, stresses and volume fraction field on the free surface of a micropolar elastic half-space with voids as a result of moving an inclined load have been obtained. The inclined load is assumed to be a linear combination of a normal load and a tangential load. The problem has been solved by employing the Eigen-value approach after using the Fourier transform as the use of matrix notation avoids unwidely mathematical expressions. The technique used in the present paper is simple, straightforward and convenient for numerical computations. The variations of the displacements, stresses and volume fraction field with the horizontal distance have been shown graphically for a particular model. A special case has also been discussed.
Wydawca

Rocznik
Strony
109-122
Opis fizyczny
Bibliogr. 27 poz., wykr.
Twórcy
autor
Bibliografia
  • [1] Chandrasekharaiah D.S. (1987): Rayleigh-Lamb waves in an elastic plate with voids. - J. Appl. Mechanics, vol.54, pp.509-5I2.
  • [2] Chandrasekharaiah D.S. (1989): Complete solution in the theory of elastic materials with voids II. - Q. J. Mech. Appl. Math, vo1.42, pp.4I-54.
  • [3] Cowin S.C. (1984): The stress around a hole in a linear elastic material with void. - Q. J. Mech. Appl. Math., vo1.37, pp.441-465.
  • [4] Cowin S.C. and Nunziato J.W. (1983): Linear elastic materials with voids. - J. Elasticity, vol.l3, pp.125-147.
  • [5] Dhaliwal RS. and Wang Jun. (1994): Adomain of influence theorem in the linear theory of elastic materials with voids. - Int. J. Eng. Sci., voI.32, 1823-1828.
  • [6] Eringen A.C. (1966): Linear theory of Micropolar elasticity. - J. Math. Mech. vo1.15, pp.909-923.
  • [7] Eringen A.C. (1984): Plane waves in non-local micropolar elasticity. - Int. J. Eng. Sci. vol.22, pp.1113-1121.
  • [8] Fung Y.C. (1968): Foundations of Solid Mechanics. - New Delhi: Prentica Hall.
  • [9] Garg N.R., Kumar R, Goel A. and Miglani A. (2003): Plane strain deformation of an orthotropic elastic medium using eigen value approach. - Earth Planets Space, vol.55, pp.3-9.
  • [10] Halpern M.R. and Christiano P. (1986): Steady state harmonic response of a rigid plate bearing on a liquid saturated poroelastic half space. - Earthquake. Eng. and Structural Dynamics, vol.l4, ppA39-454.
  • [11] Iesan D. (1985): Shock waves in micropolar elastic materials with voids. - An. St. Univ. Al. I. Cuza' Iasi, vol.31 , pp.l77-186.
  • [12] Iesan D. (1986): A theory of thermoelastic materials with voids. - Acta Mechanica, vo1.60, pp.67-89.
  • [13] Katz R (2001): The dynamical response of a rotating shaft subject to an axially moving and rotating load. - 1. Sound and Vibration, vo1.246, NO.5, pp.757-775.
  • [14] Kumar R. and Ailawalia P. (2003): Moving load response at thermal conducting fluid and micropolar solid interface. - Int. 1. Appl. Mech. Eng., vol.8, NoA, pp.621-636.
  • [15] Kumar R. and Deswal S. (2000): Steady state response of a micropolar generalized thermoelastic half space to the moving mechanical/thermal loads. - Proc. Indian. Acad. Sci. (Math. Sci.), vol.110, NoA, pp 449-465.
  • [16] Kumar R and Gogna M.L. (1992): Steady state response to moving loads in micropolar elastic medium with stretch. - Int. J. Eng. Sci., vo1.30, pp.811-820.
  • [17] Kuo J.T. (1969): Static response of a multilayered medium under inclined surface loads. - J. Geophysical Research, vo1.74, NO.12, pp.3195-3207.
  • [18] Marin M. (1995): The mixed problem in elasto static of micropolar materials with voids. - An: Stunf Unio Ovidivs Constanta Ser. Mat., vo1.3, pp.106-117.
  • [19] Marin M. (1996a): Some basie theorems in elastostatics of micropolar materials with voids. - 1. Comput. Appl. Math., vol.70, pp.l15-126.
  • [20] Marin M. (1996b): Generalized solutions in elasticity of micropolar bodies with voids. - Rev. Acad. Canaria. Cienc, vol.8, pp.l01-106.
  • [21] Marin M. (1998): A temporally evolutionary equation in elasticity of micropolar bodies with voids. - Politehn. Univ. Bucharest. Sci. Bull., Ser. A, Appl. Math. Phys., vol.60, pp.3-12.
  • [22] Nath S. and Sengupta P.R. (1999): Steady state response to moving loads in an elastic solid media. - Indian. J. Pure. Appl. Math., vol.30, pp.317 -327.
  • [23] Nunziato J.W. and Cowin S.C. (1979): A nonlinear theory of elastic materials with voids. - Arch. Rat. Mech. Anal. vol.72, pp.l75-201.
  • [24] Press W.H., Teukolsky S.A., Vellerling W.T. and Flarmery B.P. (1986): Numerical Recipes. - Cambridge: Cambridge University Press.
  • [25] Puri P. and Cowin S.C. (1985): Plane waves in linear elastic materials with voids. - J. Elasticity, vo1.15, pp.167-183.
  • [26] Scarpetta E. (1990): On the fundamental solutions in micropolar elasticity with voids. - Acta. Mechanica, vo1.82, pp.151-158.
  • [27] Verruijt A. and Cordova C.C. (2001): Moving loads on an elastic half plane with hysteretic damping. - J. Applied. Mechanics, vo1.68, pp.915-922.
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.baztech-article-BPZ2-0013-0046
JavaScript jest wyłączony w Twojej przeglądarce internetowej. Włącz go, a następnie odśwież stronę, aby móc w pełni z niej korzystać.