An axisymmetric nodal averaged finite element
| Autor: | V.A. Gordon, P.G. Morrev |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2018 |
| Předmět: |
Rotational symmetry
Aerospace Engineering Ocean Engineering 02 engineering and technology 01 natural sciences 0203 mechanical engineering Convergence (routing) nodal averaging General Materials Science Virtual work 0101 mathematics Civil and Structural Engineering Plane stress Stiffness matrix large strain Physics Ring (mathematics) axisymmetric problem Mechanical Engineering Mathematical analysis metal forming Finite element method 010101 applied mathematics 020303 mechanical engineering & transports Mechanics of Materials finite element Automotive Engineering Quasistatic process |
| Zdroj: | Latin American Journal of Solids and Structures v.15 n.2 2018 Latin American journal of solids and structures Associação Brasileira de Engenharia e Ciências Mecânicas (ABCM) instacron:ABCM Latin American Journal of Solids and Structures, Volume: 15, Issue: 2, Article number: e14, Published: 26 APR 2018 |
| Popis: | A nodal averaging technique which was earlier used for plane strain and three-dimensional problems is extended to include the axisymmetric one. Based on the virtual work principle, an expression for nodal force is found. In turn, a nodal force variation yields a stiffness matrix that proves to be non-symmetrical. But, cumbersome non-symmetrical terms can be rejected without the loss of Newton-Raphson iterations convergence. An approximate formula of volume for a ring of triangular profile is exploited in order to simplify program codes and also to accelerate calculations. The proposed finite element is intended primarily for quasistatic problems and large irreversible strain i.e. for metal forming analysis. As a test problem, deep rolling of a steel rod is studied. |
| Databáze: | OpenAIRE |
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