Iterative method for solving a problem with mixed boundary conditions for biharmonic equation arising in fracture mechanics
Título del documento: Iterative method for solving a problem with mixed boundary conditions for biharmonic equation arising in fracture mechanics
Revista: Boletim da Sociedade Paranaense de Matematica
Base de datos: PERIÓDICA
Número de sistema: 000365639
ISSN: 0037-8712
Autores: 1
2
Instituciones: 1Vietnam Academy of Science and Technology, Institute of Information Technology, Ha Noi. Vietnam
2Hong Duc University, Le Lai, Thanh Hoa. Vietnam
Año:
Volumen: 31
Número: 1
Paginación: 65-78
País: Brasil
Idioma: Inglés
Tipo de documento: Artículo
Enfoque: Experimental, analítico
Resumen en inglés 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
Disciplinas: Matemáticas
Palabras clave: Matemáticas aplicadas,
Ecuación biarmónica,
Condiciones de frontera,
Mecánica de fracturas
Keyword: Mathematics,
Applied mathematics,
Biharmonic equation,
Boundary conditions,
Fracture mechanics
Texto completo: Texto completo (Ver PDF)