Determinação do campo de tensão efetiva em um problema vetorial elástico-linear via método de elementos finitos

Determinação do campo de tensão efetiva em um problema vetorial elástico-linear via método de elementos finitos

Neves, N. S.; Pinheiro, V. P.

Artigo completo:

The present article aims to expose the concepts and mathematical modeling of the finite element method applied to a linear elasticity problem of two degrees of freedom. The discretization of the problem is directed based on the Galerkin weighted residue method formulation. The proposed problem is composed of a plate with an internal hole subjected to uniform traction, being carried out an analysis of the influence of triangular type elements of 3 nodes and quadrilaterals of 4, 8 and 9 nodes in the determination of the effective stress field under criterion of Von Mises. In this way, the results are compared with the exact solution of the problem and, in synthesis, the applied method presented a satisfactory performance associated with low levels of error.

The present article aims to expose the concepts and mathematical modeling of the finite element method applied to a linear elasticity problem of two degrees of freedom. The discretization of the problem is directed based on the Galerkin weighted residue method formulation. The proposed problem is composed of a plate with an internal hole subjected to uniform traction, being carried out an analysis of the influence of triangular type elements of 3 nodes and quadrilaterals of 4, 8 and 9 nodes in the determination of the effective stress field under criterion of Von Mises. In this way, the results are compared with the exact solution of the problem and, in synthesis, the applied method presented a satisfactory performance associated with low levels of error.

Palavras-chave:

DOI: 10.5151/ecfa2019-19

Referências bibliográficas

• [1] TIMOSHENKO, S. P.; GOODIER, J. N.
• [2] Teoria da elasticidade, 3ed. Guanabara
• [3] Dois. 1980.
• [4] REDDY, J. N. An introduction to the finite
• [5] element method. New York, 1993.
• [6] PAYEN, D. J; BATHE, K.J. The use of
• [7] nodal point forces to improve element
• [8] stresses. Computers & Structures, v. 89,
• [9] n. 5-6, p. 485-495, 2011.

Como citar:

Neves, N. S.; Pinheiro, V. P.; "Determinação do campo de tensão efetiva em um problema vetorial elástico-linear via método de elementos finitos", p-85-87. In: Anais do X Encontro Científico de Física Aplicada. São Paulo: Blucher, 2019.
ISSN 23582359, DOI 10.5151/ecfa2019-19