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

Dang Quang A; Mai Xuan Thao

doi:10.5269/bspm.v31i1.11728

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

Autores/as

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

Palabras clave:

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

Resumen

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.

Biografía del autor/a

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