Título: |
A co-rotational finite element for elastoplastic analysis of planar frames |
Autor: |
Rafael Isidoro Tasinaffo |
Programa: |
Engenharia de Infraestrutura Aeronáutica |
Área de Concentração: |
Infraestrutura Aeroportuária |
Orientador
: |
Sérgio Gustavo Ferreira Cordeiro |
Ano de Publicação : |
2022 |
Curso : |
Mestrado Acadêmico |
Assuntos
: |
Vigas (suportes) |
t |
Análise estrutural |
t |
Método de elementos finitos |
t |
Endurecimento (materiais) |
t |
Deformação plástica |
t |
Plasticidade |
t |
Equações não-lineares |
t |
Projeto estrutural |
t |
Engenharia civil |
Resumo : |
A co-rotational model is employed to analyze planar frames considering plasticity effects lumped at plastic hinges. The model accounts consistently the influence of distributed loads into the tangent stiffness matrix, which appears in the co-rotational description of the movement. The element is locally formulated as the traditional linear Euler-Bernoulli element. The hinges effects are introduced into the generalized strains fields as Dirac deltas centered at the element ends, resulting in the formulation of the element with plastic hinges. The global nonlinear equilibrium equations are solved by either force- or displacement-control Newton based procedure, depending on the observed snapping phenomena. On the other hand, the plastic constrained nonlinear system of equations related to the local problems is solved with a Newton-Raphson approach, running through all feasible plastic possibilities. Both the stiffness and local problem tangent matrix are explicitly presented. Five examples are presented to demonstrate the robustness of the formulation to deal with elastoplastic nonlinear analysis of frames. |
Data de Defesa : |
03/10/2022 |
Texto na íntegra : |
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