Finite element modeling of frames considering the physical and geometric nonlinearity

With advances in technology, the degree of safety obtained and the low cost of computational researches, compared with experimental tests, have enabled the application of numerical techniques for solution of nonlinear problems of structures. The damage constitutive models have been used as an import...

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Detalles Bibliográficos
Autor: Souza, Luiz Antonio Farani de
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2017
País:Brasil
Institución:Universidade Estadual de Londrina (UEL)
Repositorio:Revista Semina: Ciências Exatas e Tecnológicas (Online)
Idioma:portugués
OAI Identifier:oai:ojs2.ojs.uel.br:article/24145
Acceso en línea:https://ojs.uel.br/revistas/uel/index.php/semexatas/article/view/24145
Access Level:acceso abierto
Palabra clave:Continuum Damage Mechanical
Finite Elements
Path-Following Technique
Geometric Nonlinearity
Chebyshev
Mecânica do Dano Contínuo
Elementos Finitos
Técnica de Continuação
Não Linearidade Geométrica
3.00.00.009 engenharias
Descripción
Sumario:With advances in technology, the degree of safety obtained and the low cost of computational researches, compared with experimental tests, have enabled the application of numerical techniques for solution of nonlinear problems of structures. The damage constitutive models have been used as an important tool to analyze the structures stiffness loss in order to prevent the material degradation. This paper presents a formulation by means of Finite Element Method considering physical and geometric nonlinearities for the analysis of plane frames. The behavior of the material is described by a model based on Continuum Damage Mechanical. In obtaining the internal force vector, the equivalent flexural stiffness modulus is obtained by dividing the cross section in layers. In order to trace the equilibrium path with limits points of the structure it is used the Chebyshev iterative method, with cubic convergence rate, associated to the Generalized Displacement Control strategy. Numerical results found in literature are compared with those obtained by computational code developed. The proposed modeling presents potentiality in the simulation of the ultimate strength of frame type structures.