Extended Penalty Coefficients For Elimination The Locking Effects In Moderately Thick Beam And Plate Finite Elements
The present paper is dedicated to presentation and energy verification of the methods of stabilization the strain energy by penalty coefficients. Verification of the methods is based on the consistency and ellipticity conditions to be satisfied by the finite elements. Three methods of stabilization...
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| Format: | Article |
| Language: | English |
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Polish Academy of Sciences
2014-09-01
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| Series: | Archives of Civil Engineering |
| Subjects: | |
| Online Access: | http://www.degruyter.com/view/j/ace.2014.60.issue-3/ace-2014-0025/ace-2014-0025.xml?format=INT |
| _version_ | 1818234495976865792 |
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| author | Gilewski W. |
| author_facet | Gilewski W. |
| author_sort | Gilewski W. |
| collection | DOAJ |
| description | The present paper is dedicated to presentation and energy verification of the methods of stabilization the strain energy by penalty coefficients. Verification of the methods is based on the consistency and ellipticity conditions to be satisfied by the finite elements. Three methods of stabilization are discussed. The first does not satisfy the above requirements. The second is consistent but cannot eliminate parasitic energy terms. The third method, proposed by the author, is based on the decomposition of the element stiffness matrix. The method can help to eliminate locking of the finite elements. For two-noded beam element with linear shape functions and exact integration a stabilized free of locking (and elliptical) element is received (equivalent to reduced integration element). Two plate finite elements are analyzed: four-noded rectangular element and DSG triangle. A new method of stabilization with the use of four independent parameters is proposed. The finite elements with this kind of stabilization satisfy the consistency condition. In the rectangular element it was not possible to eliminate one parasitic term of energy which appears during the procedure. For DSG triangle all parasitic terms of energy are eliminated. The penalty coefficients depends on the geometry of the triangle. |
| first_indexed | 2024-12-12T11:38:59Z |
| format | Article |
| id | doaj.art-44aa20ee6388404faf765b607ccabf02 |
| institution | Directory Open Access Journal |
| issn | 1230-2945 |
| language | English |
| last_indexed | 2024-12-12T11:38:59Z |
| publishDate | 2014-09-01 |
| publisher | Polish Academy of Sciences |
| record_format | Article |
| series | Archives of Civil Engineering |
| spelling | doaj.art-44aa20ee6388404faf765b607ccabf022022-12-22T00:25:36ZengPolish Academy of SciencesArchives of Civil Engineering1230-29452014-09-0160336738510.2478/ace-2014-0025ace-2014-0025Extended Penalty Coefficients For Elimination The Locking Effects In Moderately Thick Beam And Plate Finite ElementsGilewski W.0 Faculty of Civil Engineering, Warsaw University of Technology, Al. Armii Ludowej 16, 00-637 Warsaw, PolandThe present paper is dedicated to presentation and energy verification of the methods of stabilization the strain energy by penalty coefficients. Verification of the methods is based on the consistency and ellipticity conditions to be satisfied by the finite elements. Three methods of stabilization are discussed. The first does not satisfy the above requirements. The second is consistent but cannot eliminate parasitic energy terms. The third method, proposed by the author, is based on the decomposition of the element stiffness matrix. The method can help to eliminate locking of the finite elements. For two-noded beam element with linear shape functions and exact integration a stabilized free of locking (and elliptical) element is received (equivalent to reduced integration element). Two plate finite elements are analyzed: four-noded rectangular element and DSG triangle. A new method of stabilization with the use of four independent parameters is proposed. The finite elements with this kind of stabilization satisfy the consistency condition. In the rectangular element it was not possible to eliminate one parasitic term of energy which appears during the procedure. For DSG triangle all parasitic terms of energy are eliminated. The penalty coefficients depends on the geometry of the triangle.http://www.degruyter.com/view/j/ace.2014.60.issue-3/ace-2014-0025/ace-2014-0025.xml?format=INTfinite elementsshear lockingstabilizationconsistency |
| spellingShingle | Gilewski W. Extended Penalty Coefficients For Elimination The Locking Effects In Moderately Thick Beam And Plate Finite Elements Archives of Civil Engineering finite elements shear locking stabilization consistency |
| title | Extended Penalty Coefficients For Elimination The Locking Effects In Moderately Thick Beam And Plate Finite Elements |
| title_full | Extended Penalty Coefficients For Elimination The Locking Effects In Moderately Thick Beam And Plate Finite Elements |
| title_fullStr | Extended Penalty Coefficients For Elimination The Locking Effects In Moderately Thick Beam And Plate Finite Elements |
| title_full_unstemmed | Extended Penalty Coefficients For Elimination The Locking Effects In Moderately Thick Beam And Plate Finite Elements |
| title_short | Extended Penalty Coefficients For Elimination The Locking Effects In Moderately Thick Beam And Plate Finite Elements |
| title_sort | extended penalty coefficients for elimination the locking effects in moderately thick beam and plate finite elements |
| topic | finite elements shear locking stabilization consistency |
| url | http://www.degruyter.com/view/j/ace.2014.60.issue-3/ace-2014-0025/ace-2014-0025.xml?format=INT |
| work_keys_str_mv | AT gilewskiw extendedpenaltycoefficientsforeliminationthelockingeffectsinmoderatelythickbeamandplatefiniteelements |