A dual interpolation boundary face method for 3D elasticity
نویسندگان
چکیده
The dual interpolation boundary face method (DiBFM) proposed recently has been successfully applied to solve various problems in two dimensions. Compared with the conventional element (BEM), it proved that DiBFM advantages of higher accuracy, convergence rate and computational efficiency. In addition, is suitable unify conforming nonconforming elements BEM implementation, as well approximate both continuous discontinuous fields. Moreover, there are no geometric errors by process. this paper, extended elasticity three-dimensions (3D) formulations derived details. A number numerical examples presented order validate accuracy method.
منابع مشابه
TENSION TRIGONOMETRIC SPLINES INTERPOLATION METHOD FOR SOLVING A LINEAR BOUNDARY VALUE PROBLEM
By using the trigonometric uniform splines of order 3 with a real tension factor, a numericalmethod is developed for solving a linear second order boundary value problems (2VBP) withDirichlet, Neumann and Cauchy types boundary conditions. The moment at the knots isapproximated by central finite-difference method. The order of convergence of the methodand the theory is illustrated by solving tes...
متن کاملBoundary Element Method for Elasticity Problems
Another general numerical method has recently emerged that provides good computational abilities and has some particular advantages when compared to FEM. The technique known as the boundary element method (BEM) has been widely used by computational mechanics investigators leading to the development of many private and commercial codes. Similar to the finite element method, BEM can analyze many ...
متن کاملScattered Data Interpolation based on Dual Reciprocity Boundary Element Method with Unknown Boundary Conditions
A numerical method based on Dual Reciprocity Boundary Element Method (DRBEM) has presented to interpolate twodimensional data with arbitrary pattern. This method is performed without specific boundary conditions. It claimed that interpolation function is true on the Poisson equation with unknown source function. The source function is estimated by radial basis functions expansion. Finally, nume...
متن کاملStabilized dual-mixed method for the problem of linear elasticity with mixed boundary conditions
We extend the applicability of the augmented dual-mixed method introduced recently in [4, 5] to the problem of linear elasticity with mixed boundary conditions. The method is based on the Hellinger–Reissner principle and the symmetry of the stress tensor is imposed in a weak sense. The Neuman boundary condition is prescribed in the finite element space. Then, suitable Galerkin least-squares typ...
متن کاملA Galerkin Boundary Node Method for Two-Dimensional Linear Elasticity
In this paper, a Galerkin boundary node method (GBNM) is developed for boundary-only analysis of 2D problems in linear elasticity. The GBNM combines the variational form of a boundary integral formulation for the elastic equations with the moving least-squares approximations for generating the trial and test functions. Unlike the boundary node method, the main idea here is to use the Galerkin s...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Engineering Analysis With Boundary Elements
سال: 2021
ISSN: ['0955-7997', '1873-197X']
DOI: https://doi.org/10.1016/j.enganabound.2020.10.015