A Modal Error Indicator Based on a Work-Cancellation Property of Energy-Orthogonal Axisymmetric Finite Elements
This paper approaches the convergence question of the dynamic modes computed in axisymmetric solids by the finite element method. It is concerned with hierarchical axisymmetric finite elements obtained from the standard eight-node quadrilateral and six-node triangle. These elements are formulated in...
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| Published in | International journal of computational methods in engineering science and mechanics Vol. 9; no. 1; pp. 60 - 76 |
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| Main Author | |
| Format | Journal Article |
| Language | English |
| Published |
Taylor & Francis Group
01.01.2008
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| Subjects | |
| Online Access | Get full text |
| ISSN | 1550-2287 1550-2295 |
| DOI | 10.1080/15502280701761560 |
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| Abstract | This paper approaches the convergence question of the dynamic modes computed in axisymmetric solids by the finite element method. It is concerned with hierarchical axisymmetric finite elements obtained from the standard eight-node quadrilateral and six-node triangle. These elements are formulated in energy-orthogonal form. It means that the stiffness matrix is split into basic and higher order components, which are produced from mean and deviatoric strain fields, respectively. The major subject of this paper is to decide which modes to keep for subsequent calculations, such as transient response analysis. Truncation is done according to an higher order energy cancellation criterion that may be tested mode by mode. |
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| AbstractList | This paper approaches the convergence question of the dynamic modes computed in axisymmetric solids by the finite element method. It is concerned with hierarchical axisymmetric finite elements obtained from the standard eight-node quadrilateral and six-node triangle. These elements are formulated in energy-orthogonal form. It means that the stiffness matrix is split into basic and higher order components, which are produced from mean and deviatoric strain fields, respectively. The major subject of this paper is to decide which modes to keep for subsequent calculations, such as transient response analysis. Truncation is done according to an higher order energy cancellation criterion that may be tested mode by mode. |
| Author | Castro, Francisco José Brito |
| Author_xml | – sequence: 1 givenname: Francisco José Brito surname: Castro fullname: Castro, Francisco José Brito organization: Departamento de Física Fundamental y Experimental , Universidad de La Laguna |
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| Cites_doi | 10.1017/CBO9780511624292 10.1002/nme.1620380204 10.1080/15502280590891609 10.1016/0045-7825(94)90214-3 10.1002/nme.1620200405 10.1016/0898-1221(76)90014-6 10.1002/nme.1620280703 10.1016/0045-7949(83)90147-5 10.1142/S1465876301000453 |
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| Snippet | This paper approaches the convergence question of the dynamic modes computed in axisymmetric solids by the finite element method. It is concerned with... |
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| SubjectTerms | Energy-Orthogonal Formulation Hierarchical Axisymmetric Finite Elements Modal Convergence |
| Title | A Modal Error Indicator Based on a Work-Cancellation Property of Energy-Orthogonal Axisymmetric Finite Elements |
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