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Displacement potential solution of short stiffened flat composite bars under axial loading

Wybrane pełne teksty z tego czasopisma
Identyfikatory
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
The present paper describes a new approach to analytical solution of two-dimensional stress problems of orthotropic composite materials. In this approach, the elastic problem is formulated in terms of a single potential function, defined in terms of the displacement components, which satisfies a single differential equation of equilibrium. The new mathematical model, namely, the displacement potential formulation is especially suitable for the solution of mixed-boundary-value elastic problems of orthotropic composite materials. This paper presents the solution of stresses and displacements at different sections of short stiffened flat composite bars under axial loading, where a number of bar aspect ratios are considered together with different materials of interest. The solutions are obtained in the form of infinite series and the results are presented mainly in the form of graphs. The results appear to be quite reasonable and accurate, and thus establish the soundness as well as reliability of the present displacement potential approach.
Rocznik
Strony
557--575
Opis fizyczny
Bibliogr. 20 poz., wykr.
Twórcy
autor
  • Department of Mechanical Engineering Bangladesh University of Engineering and Technology Dhaka 1000, Bangladesh, reaz207@yahoo.com
Bibliografia
  • Ahmed S.R. (1993): Numerical Solutions of Mixed Boundary-Value Elastic Problems. - M.Sc. Thesis, Bangladesh University of Engineering and Technology, Bangladesh.
  • Ahmed S.R., Khan M.R., Islam K.M.S. and Uddin M.W. (1996a): Analysis of stresses in deep beams using displacement potential function. - Journal of Institution of Engineers (India), vol.77, pp.141-147.
  • Ahmed S.R., Idris A.B.M. and Uddin M.W. (1996b): Numerical solution of both ends fixed deep beams. - Computers and Structures, vol.61, No.1, pp.21-29.
  • Ahmed S.R., Khan M.R., Islam K.M.S. and Uddin M.W. (1998): Investigation of stresses at the fixed end of deep cantilever beams. - Computers and Structures, vol.69, pp.329-338.
  • Ahmed S.R., Idris A.B.M. and Uddin M.W. (1999): An alternative method for numerical Solution of mixed boundaryvalue elastic problems. - Journal of Wave-Material Interaction, vol.14, No.1-2, pp.12-25.
  • Ahmed S.R., Hossain M.Z. and Uddin M.W. (2005): A general mathematical formulation for finite-difference solution of mixed-boundary-value problems of anisotropic materials. - Computers and Structures, vol.83, pp.35-51.
  • Akanda M.A.S., Ahmed S.R., Khan M.R. and Uddin M.W. (2000): A finite difference scheme for mixed boundary-value problems of arbitrary-Shaped elastic bodies. - Advances in Engineering Software, vol.31, No.3, pp.173-184.
  • Akanda M.A.S., Ahmed S.R. and Uddin M.W. (2002): Stress analysis of gear teeth using displacement potential function and finite differences. - International Journal for Numerical Methods in Engineering, vol.53, pp.1629-1640.
  • Durelli A.J. and Ranganayakamma B. (1987): On the use of photoelasticity and some numerical methods. - Photomechanics and Speckle Metrology, SPIE, 814, pp.1-8.
  • Durelli A.J. and Ranganayakamma B. (1989): Parametric solution of stresses in beams. - Journal of Engineering Mechanics, vol.115, No.2, pp.401-415.
  • Hardy S.J. and Pipelzadeh M.K. (1991): Static analysis of short beams. - Journal of StrainAnalysis, vol.26, No.1, pp.15-29.
  • Horgan C.O. and Knowels J.K. (1983): Recent developments concerning Saint Venant's principle. - Advances in Applied Mechanics, vol.23, pp.179-269.
  • Idris A.B.M. (1993): A New Approach to Solution of Mixed Boundary-Value Elastic Problems. - M.. Sc. Thesis, Bangladesh University of Engineering and Technology, Bangladesh.
  • Idris A.B.M., Ahmed S.R. and Uddin M.W. (1996): Analytical solution of a 2-D elastic problem with mixed boundary conditions. - Journal of the Institution of Engineers (Singapore), vol.36, No.6, pp.11-17.
  • Jones R.M. (1975): Mechanics of Composite Materials. - McGraw-Hill Book Company.
  • Murty A.V.K. (1984): Towards a consistent beam theory. - AIAA Journal, vol.22, pp.811-816.
  • Nan C.-W., Yuan R.-Z. and Zhang L.-M. (1993): The physics of metal/ceramic functionally gradient materials. - Ceramic Transaction: Functionally Gradient Materials, vol.34, pp.75-82.
  • Suzuki S. (1986): Stress analysis of short beams. - AIAA Journal, vol.24, pp.1396-1398.
  • Timoshenko S. and Goodier V.N. (1979): Theory of Elasticity. - 3rd Ed., McGraw- Hill, New York, N.Y.
  • Uddin M.W. (1966): Finite Difference Solution of Two-dimensional Elastic Problems with Mixed Boundary Conditions. - M.Sc. Thesis, Carleton University, Canada.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPZ2-0023-0038
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