Stress concentration due to an elliptic hole in a degrading linearized elastic solid

• Autorzy: Kulvait V. , Malek J. , Rajagopal K. R.
• Języki publikacji: PL

Abstrakty

EN

A computational analysis is carried out of boundary-value problems associated with a planar generalized linearized elastic solid body with an elliptic hole in it, with a fluid diffusing through the solid. This diffusion of fluid can either enhance or degrade the load carrying capacity of the body, based on how the material moduli of the solid depend on the concentration of the fluid, that is whether the presence of the fluid degrades or strengthens the material. We investigate the nature of the solution when the aspect ratio tends to zero, a problem relevant to the stress singularity at crack tips.

Słowa kluczowe

PL

liniowa sprężystość; symulacja komputerowa

EN

linearized elasticity; concentration dependent material moduli; computational simulations

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mechanics and Engineering
• Rocznik: 2010
• Tom: Vol. 15, no 1
• Strony: 35--49
• Opis fizyczny: Bibliogr. 16 poz., rys., tab., wykr.

Twórcy

autor

Kulvait V.

autor

Malek J.

autor

Rajagopal K. R.

• Mathematical Institute of Charles University Sokolovsk'a 83 Praha 8, Karlin CZECH REPUBLIC,

Bibliografia

• Bouadi H. and Sun C.T. (1989): Hygrothermal effects on the stress field of laminated composites. - Journal of Reinforced Plastics and Composites, vol.8, No.1, pp.40-54.
• Bouadi H. and Sun C.T. (1990): Hygrothermal effects on structural stiffness and structural damping of laminated composites. - Journal of Materials Science, vol.25, No.1, pp.499-505.
• Cai Z., Korsawe J. and Starke G. (2005): An adaptive least squares mixed finite element method for the stress-displacement formulation of linear elasticity. - Numerical Methods for Partial Differential Equations, vol.21, No.1, pp.132-148.
• Comsol (2006): COMSOL Multiphysics User's Guide.-ifundefinedselectfonthttp://www.comsol.com/.
• Darbha S. and Rajagopal K.R. (2009): Unsteady motions of degrading or aging linearized elastic solids. - International Journal of Non-Linear Mechanics, vol.44, No.5, pp.478-485.
• Lee S.Y. and Yen W.J. (1989): Hygrothermal effects on the stability of a cylindrical composite shell panel. - Computers and Structures, vol.33, No.2, pp.551-559.
• Lemaitre J. and Chaboche J.L. (1994): Mechanics of solid materials. - Cambridge Univ. Press.
• Muliana A., Rajagopal K.R. and Shankar S. (2009): Degradation of an Elastic Composite Cylinder due to the Diffusion of a Fluid. - Journal of Composite Materials, vol.43, No.1, pp.1225-1249.
• Muskhelishvili N.I. (1963): Some Basic Problems of the Mathematical Theory of Elasticity: Fundamental Equations, Plane Theory of Elasticity, Torsion, and Bending. - P. Noordhoff.
• Olesiak Z.S. (1998): Problems of thermodiffusion of deformable solids. - Materials Science, vol.34, No.3, pp.297-303.
• Showalter R.E. (2000): Diffusion in poro-elastic media. - Journal of Mathematical Analysis and Applications, vol.251, No.1, pp.310-340.
• Showalter R.E. (2002): Diffusion In Deformable Media. - Resource Recovery, Confinement, and Remediation of Environmental Hazards.
• Soares J.S., Moore Jr J.E. and Rajagopal K.R. (2007): Theoretical modeling of cyclically loaded biodegradable cylinders. - Modeling Biological Materials. Boston, MA, Birkhauser, pp.125-177.
• Weitsman Y. (1987a): Coupled damage and moisture-transport in fiber-reinforced, polymeric composites. - International Journal of Solids and Structures, vol.23, No.7, pp.1003-1025.
• Weitsman Y. (1987b): Stress Assisted Diffusion in Elastic and Viscoelastic Materials. - Journal of the Mechanics and Physics of Solids, vol.35, No.1, pp.73-94.
• Yamaue T. and Doi M. (2005): The stress diffusion coupling in the swelling dynamics of cylindrical gels. - The Journal of Chemical Physics, vol.122, No.8, pp.084703.