Stress Analysis of Three-Dimensional Media Containing Localized Zone by FEM-SGBEM Coupling

Joint Authors

Rungamornrat, Jaroon
Sripirom, Sakravee

Source

Mathematical Problems in Engineering

Issue

Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-27, 27 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2011-12-27

Country of Publication

Egypt

No. of Pages

27

Main Subjects

Civil Engineering

Abstract EN

This paper presents an efficient numerical technique for stress analysis of three-dimensional infinite media containing cracks and localized complex regions.

To enhance the computational efficiency of the boundary element methods generally found inefficient to treat nonlinearities and non-homogeneous data present within a domain and the finite element method (FEM) potentially demanding substantial computational cost in the modeling of an unbounded medium containing cracks, a coupling procedure exploiting positive features of both the FEM and a symmetric Galerkin boundary element method (SGBEM) is proposed.

The former is utilized to model a finite, small part of the domain containing a complex region whereas the latter is employed to treat the remaining unbounded part possibly containing cracks.

Use of boundary integral equations to form the key governing equation for the unbounded region offers essential benefits including the reduction of the spatial dimension and the corresponding discretization effort without the domain truncation.

In addition, all involved boundary integral equations contain only weakly singular kernels thus allowing continuous interpolation functions to be utilized in the approximation and also easing the numerical integration.

Nonlinearities and other complex behaviors within the localized regions are efficiently modeled by utilizing vast features of the FEM.

A selected set of results is then reported to demonstrate the accuracy and capability of the technique.

American Psychological Association (APA)

Rungamornrat, Jaroon& Sripirom, Sakravee. 2011. Stress Analysis of Three-Dimensional Media Containing Localized Zone by FEM-SGBEM Coupling. Mathematical Problems in Engineering،Vol. 2011, no. 2011, pp.1-27.
https://search.emarefa.net/detail/BIM-491697

Modern Language Association (MLA)

Rungamornrat, Jaroon& Sripirom, Sakravee. Stress Analysis of Three-Dimensional Media Containing Localized Zone by FEM-SGBEM Coupling. Mathematical Problems in Engineering No. 2011 (2011), pp.1-27.
https://search.emarefa.net/detail/BIM-491697

American Medical Association (AMA)

Rungamornrat, Jaroon& Sripirom, Sakravee. Stress Analysis of Three-Dimensional Media Containing Localized Zone by FEM-SGBEM Coupling. Mathematical Problems in Engineering. 2011. Vol. 2011, no. 2011, pp.1-27.
https://search.emarefa.net/detail/BIM-491697

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-491697