Elastic torsion bar with arbitrary cross-section using the fredholm integral equations

Computers, Materials and Continua

Volumn 5, Issue 1, 2007, Pages 31-42

  Liu, Chein Shan ^a,b  

^a NATIONAL TAIWAN OCEAN UNIVERSITY   (Taiwan)

^b UNIVERSITY OF BRITISH COLUMBIA   (Canada)

Author keywords

Artificial circle; Elastic torsion; Fourier series; Fredholm integral equation; Laplace equation; Lavrentiev regularization

Indexed keywords

FOURIER SERIES; INTEGRAL EQUATIONS; LAPLACE EQUATION; PROBLEM SOLVING; SHEAR STRESS; TORSIONAL STRESS;

ARTIFICIAL CIRCLE; ELASTIC TORSION; FREDHOLM INTEGRAL EQUATION; LAVRENTIEV REGULARIZATION;

BARS (METAL);

EID: 34247135763     PISSN: 15462218     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (16)

1. Aleynikov, S.M.; Stromov, A.V. (2004): Comparison of complex methods for numerical solutions of boundary problems of the Laplace equation. Eng. Anal. Boundary Elem., vol. 28, pp. 615-622.
2. Chen, J.T.; Wu, C.S. (2006): Alternative derivations for the Poisson integral formula. Int. J. Math. Educ. Sci. Tech., vol. 37, pp. 165-185.
3. Hassenpflug, W.C. (2003): Torsion of uniform bars with polygon cross-section. Comp. Math. Appl., Vol. 46, pp. 313-392.
4. Hromadka II, T.V.; Lai, C. (1987): The Complex Variable Boundary Element Method in Engineering Analysis. Springer-Verlag, New York.
5. Jacoby, S.L.S.; Kowalik, J.S.; Pizzo, J.T. (1972): Iterative Methods for Nonlinear Optimization Problems. Prentice-Hall, New Jersey.
6. Jaswon, M.A.; Ponter, A.R. (1963): An integral equation solution of the torsion problem. Proc. Roy. Soc. London A, vol. 273, pp. 237-246.
7. Jaswon, M.A.; Symm, G.T. (1977): Integral Equation Methods in Potential Theory and Elastostatics. Academic, New York.
8. Kolodziej, J.A.; Fraska, A. (2005): Elastic torsion of bars possessing regular polygon in crosssection using BCM. Comp. Struct., vol. 84, pp. 78-91.
9. Lavrentiev, M.M. (1967): Some Improperly Posed Problems of Mathematical Physics. Springer, New York.
10. Little, R.W. (1973): Elasticity. Prentice-Hall, New Jersey.
11. Liu, C.-S. (2006): New methods for elastic torsion of bar with arbitrary shape of cross-section. Proceedings of Symposium on Advances of Mechanics. In Honor of President Robert R. Hwang, Keelung, Taiwan, pp. 95-103.
12. Liu, C.-S. (2007): A meshless regularized integral equation method (MRIEM) for Laplace equation in arbitrary interior or exterior plane domains. Proceedings of ICCES'07, Miami, American, pp. 69-80.
13. Mikhlin, S.G. (1964): Integral Equations and Their Application. Pergamon Press, New York.
14. Timoshenko, S.P.; Goodier, J.M. (1961): Theory of Elasticity. McGraw-Hill, New York.
15. Young, D.L.; Chen, K.H.; Lee, C.W. (2005): Novel meshless method for solving the potential problems with arbitrary domain. J. Comp. Phys., vol. 209, pp. 290-321.
16. Zieniuk, E. (2003): Bézier curves in the modification of boundary integral equations (BIE) for potential boundary-values problems. Int. J. Solids Struct., vol. 40, pp. 2301-2320.