SAINT-VENANT TORSION OF NON-HOMOGENEOUS ANISOTROPIC BARS

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KATSIKADELIS JOHN T.; TSIATAS GEORGE C.

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Journal Paper

Paper Information

Journal: JOURNAL OF APPLIED AND COMPUTATIONAL MECHANICS Year:2016 | Volume:2 | Issue:1 Page(s): 42-53

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Title

SAINT-VENANT TORSION OF NON-HOMOGENEOUS ANISOTROPIC BARS

Author(s)

KATSIKADELIS JOHN T. | TSIATAS GEORGE C. | Issue Writer Certificate

Keywords

ANISOTROPIC MATERIALS

NON-HOMOGENEOUS MEDIA

ELASTICITY

BARS

TORSION

Abstract

The BEM is applied to the solution of the TORSION problem of non-homogeneous anisotropic non-circularprismatic BARS. The problem is formulated in terms of the warping function. This formulation leads to asecond order partial differential equation with variable coefficients, which is subjected to a generalizedNeumann type boundary condition. The problem is solved using the Analog Equation Method (AEM). According to this method, the governing equation is replaced by a Poisson’ s equation subjected to afictitious source under the same boundary condition. The fictitious load is established using the BoundaryElement Method (BEM) after expanding it to a finite series of radial basis functions. The method has allthe advantages of the pure BEM, since the discretization and integration are limited only to the boundary. Numerical examples are presented which illustrate the efficiency and accuracy of the method.

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APA: Copy

KATSIKADELIS, JOHN T., & TSIATAS, GEORGE C.. (2016). SAINT-VENANT TORSION OF NON-HOMOGENEOUS ANISOTROPIC BARS. JOURNAL OF APPLIED AND COMPUTATIONAL MECHANICS, 2(1), 42-53. SID. https://sid.ir/paper/353154/en

Vancouver: Copy

KATSIKADELIS JOHN T., TSIATAS GEORGE C.. SAINT-VENANT TORSION OF NON-HOMOGENEOUS ANISOTROPIC BARS. JOURNAL OF APPLIED AND COMPUTATIONAL MECHANICS[Internet]. 2016;2(1):42-53. Available from: https://sid.ir/paper/353154/en

IEEE: Copy

JOHN T. KATSIKADELIS, and GEORGE C. TSIATAS, “SAINT-VENANT TORSION OF NON-HOMOGENEOUS ANISOTROPIC BARS,” JOURNAL OF APPLIED AND COMPUTATIONAL MECHANICS, vol. 2, no. 1, pp. 42–53, 2016, [Online]. Available: https://sid.ir/paper/353154/en

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