Saint-Venant torsion of non-homogeneous anisotropic bars
Journal Title: Journal of Applied and Computational Mechanics - Year 2016, Vol 2, Issue 1
Abstract
The BEM is applied to the solution of the torsion problem of non-homogeneous anisotropic non-circular prismatic bars. The problem is formulated in terms of the warping function. This formulation leads to a second order partial differential equation with variable coefficients, subjected to a generalized Neumann 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 a fictitious source under the same boundary condition. The fictitious load is established using the Boundary Element Method (BEM) after expanding it into a finite series of radial basis functions. The method has all the advantages of the pure BEM, since the discretization and integration are limited only on to the boundary. Numerical examples are presented which illustrate the efficiency and accuracy of the method.
Authors and Affiliations
John T. Katsikadelis, George C. Tsiatas
Keywords
Related Articles
- EP ID EP178280
- DOI 10.22055/jacm.2016.12270
- Views 123
- Downloads 0
Springbackward Phenomenon of a Transversely Isotropic Functionally Graded Composite Cylindrical Shell
This article gives an approach to predict the springbackward phenomena during post solidification cooling in a functionally graded hybrid composite cylindrical shell with transverse isotropic structure. Here the material...
Time integration of rectangular membrane free vibration using spline-based differential quadratu
In this paper, numerical spline-based differential quadrature is presented for solving the boundary and initial value problems, and its application is used to solve the fixed rectangular membrane vibration equation. For...
Conjugate and directional chaos control methods for reliability analysis of CNT–reinforced nanocomposite beams under buckling forces; a comparative study
The efficiency and robustness of reliability methods are two important factors in first order reliability method (FORM). The conjugate choice control (CCC) and directional chaos control method (DCC) were developed to imp...
Saint-Venant torsion of non-homogeneous anisotropic bars
The BEM is applied to the solution of the torsion problem of non-homogeneous anisotropic non-circular prismatic bars. The problem is formulated in terms of the warping function. This formulation leads to a second order p...
Buckling Analysis of a Micro Composite Plate with Nano Coating Based on the Modified Couple Stress Theory
The present study investigates the buckling of a thick sandwich plate under the biaxial non-uniform compression using the modified couple stress theory with various boundary conditions. For this purpose, the top and bott...