Iterative method for solving a problem with mixed boundary conditions for biharmonic equation arising in fracture mechanics

Authors

  • Dang Quang A Vietnam Academy of Science and Technology Institute of Information Technology
  • Mai Xuan Thao Hong Duc University

DOI:

https://doi.org/10.5269/bspm.v31i1.11728

Keywords:

Iterative method, Biharmonic equation, Mixed boundary conditions, Crack problem

Abstract

In this paper we consider a mixed boundary value problem for biharmonic equation of the Airy stress function which models a crack problem of a solid elastic plate. An iterative method for reducing the problem to a sequence of mixed problems for Poisson equations is proposed and investigated. The convergence of the method is established theoretically and illustrated on many numerical experiments.

Author Biographies

  • Dang Quang A, Vietnam Academy of Science and Technology Institute of Information Technology
    Head of Department of Mathematical methods in Information Technology,
  • Mai Xuan Thao, Hong Duc University

    Head of Department of Natural Sciences

    Thanh Hoa City

Downloads

Published

2011-11-23

Issue

Vol. 31 No. 1 (2013)

Section

Research Articles

License

When the manuscript is accepted for publication, the authors agree automatically to transfer the copyright to the (SPM).

The journal utilize the Creative Common Attribution (CC-BY 4.0).

 

Crossref
Scopus
Google Scholar
Europe PMC