Implicit boundary method for finite element analysis using non-conforming mesh or grid

2008 ◽  
Vol 74 (9) ◽  
pp. 1421-1447 ◽  
Author(s):  
Ashok V. Kumar ◽  
Sanjeev Padmanabhan ◽  
Ravi Burla
Keyword(s):  
Finite Element Analysis ◽  
Finite Element ◽  
Element Analysis ◽  
Boundary Method

Finite Element Analysis in 3D Using the Penalty Boundary Method

2002 ◽  
Author(s):  
Brett W. Clark ◽  
David C. Anderson
Keyword(s):  
Finite Element Analysis ◽  
Finite Element ◽  
Boundary Conditions ◽  
Mesh Generation ◽  
Discretization Error ◽  
Finite Element Models ◽  
Element Analysis ◽  
Hexahedral Elements ◽  
Boundary Method ◽  
Time Required

Traditional methods for applying boundary conditions in finite element analysis require the mesh to conform to the geometry boundaries. This in turn requires complex meshing algorithms for automated mesh generation from CAD geometry, particularly when using quadrilateral and hexahedral elements. The 3D extension of the penalty boundary method (PBM) is presented as a method that significantly reduces the time required generating finite element models because the mesh is not required to conform to the CAD geometry. The PBM employs penalty methods to apply boundary conditions on a simple, regular mesh. The PBM also eliminates discretization error because boundary conditions are applied using CAD geometry directly rather than an approximation of the geometry.

Survey of Immersed Boundary Approaches for Finite Element Analysis

2020 ◽  
Vol 20 (4) ◽  
Author(s):  
Ashok V. Kumar
Keyword(s):  
Finite Element Analysis ◽  
Finite Element ◽  
Mesh Generation ◽  
Immersed Boundary ◽  
Uniform Mesh ◽  
Element Analysis ◽  
Hexahedral Elements ◽  
Boundary Method ◽  
Background Mesh ◽  
Plates And Shells

Abstract Mesh generation for traditional finite element analysis has proven to be very difficult to fully automate especially using hexahedral elements for complex 3D geometry. Several modifications to the finite element method (FEM), such as the meshless methods, have been proposed for avoiding mesh generation. An alternative approach has recently gained popularity where the geometry, created as a solid model in cad software, is embedded or immersed in a nonconforming background mesh for analysis. In this approach, referred to here as the immersed boundary approach, a background mesh that is independent of the geometry is used for piecewise interpolation or approximation of the solution. Therefore, a uniform mesh with regular-shaped or undistorted elements can be used, and such a mesh is easy to generate automatically. When the geometry is immersed in the background mesh, the boundary elements are often only partly inside the geometry and the nodes of the mesh may not be on the boundaries. Many new methods have been developed to integrate over partial elements and to apply boundary and interface conditions when the boundaries of the geometries do not conform to the background mesh. These methods are reviewed in this article with particular emphasis on the implicit boundary method and step boundary method for applying boundary conditions. In addition, B-spline elements and several applications of the immersed boundary approach are surveyed including composite microstructures and structural elements for plates and shells.

A sparse matrix open boundary method for finite element analysis

1989 ◽  
Vol 25 (4) ◽  
pp. 2810-2812 ◽  
Author(s):  
D.A. Lowther ◽  
E.M. Freeman ◽  
B. Forghani
Keyword(s):  
Finite Element Analysis ◽  
Finite Element ◽  
Sparse Matrix ◽  
Open Boundary ◽  
Element Analysis ◽  
Boundary Method

Finite element analysis on dental implant[ndash ]supported prostheses without passive fit

2002 ◽  
Vol 11 (1) ◽  
pp. 30-40 ◽  
Author(s):  
Chatchai Kunavisarut ◽  
Lisa A. Lang ◽  
Brian R. Stoner ◽  
David A. Felton
Keyword(s):  
Finite Element Analysis ◽  
Finite Element ◽  
Dental Implant ◽  
Element Analysis ◽  
Passive Fit
Sign in / Sign up

Export Citation Format

Share Document