Impact of Integration on Straining Modes and Shear-Locking for Plane Stress Finite Elements
Stiffness matrix of the four-node quadrilateral plane stress element is decomposed into normal and shear components. A computer program is developed to obtain the straining modes using adequate and reduced integration. Then a solution for the problem of mixing straining modes is found. Accuracy of t...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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University of Tehran Press
2018-12-01
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| Series: | Civil Engineering Infrastructures Journal |
| Subjects: | |
| Online Access: | https://ceij.ut.ac.ir/article_68742_1f55996ad61b6ca5ff2cbc5b325cd8fd.pdf |
| _version_ | 1818251533150584832 |
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| author | Mehdi Ghassemieh Behrouz Badrkhani Ajaei |
| author_facet | Mehdi Ghassemieh Behrouz Badrkhani Ajaei |
| author_sort | Mehdi Ghassemieh |
| collection | DOAJ |
| description | Stiffness matrix of the four-node quadrilateral plane stress element is decomposed into normal and shear components. A computer program is developed to obtain the straining modes using adequate and reduced integration. Then a solution for the problem of mixing straining modes is found. Accuracy of the computer program is validated by a closed-form stiffness matrix, derived for the plane rectangular as well as square element. It is shown that method of integration has no effect on the straining modes, but it influences the eigenvalues of the bending modes. This effect is intensified by increasing the element aspect ratio, confirming the occurrence of shear locking. |
| first_indexed | 2024-12-12T16:09:47Z |
| format | Article |
| id | doaj.art-21547a09d8f448cdae1489f3b27bb513 |
| institution | Directory Open Access Journal |
| issn | 2322-2093 2423-6691 |
| language | English |
| last_indexed | 2024-12-12T16:09:47Z |
| publishDate | 2018-12-01 |
| publisher | University of Tehran Press |
| record_format | Article |
| series | Civil Engineering Infrastructures Journal |
| spelling | doaj.art-21547a09d8f448cdae1489f3b27bb5132022-12-22T00:19:13ZengUniversity of Tehran PressCivil Engineering Infrastructures Journal2322-20932423-66912018-12-0151242544310.7508/ceij.2018.02.01168742Impact of Integration on Straining Modes and Shear-Locking for Plane Stress Finite ElementsMehdi Ghassemieh0Behrouz Badrkhani Ajaei1Professor, School of Civil Engineering, College of Engineering, University of Tehran, Tehran, Iran.Department of Civil Engineering, Boğaziçi University, Istanbul, Turkey.Stiffness matrix of the four-node quadrilateral plane stress element is decomposed into normal and shear components. A computer program is developed to obtain the straining modes using adequate and reduced integration. Then a solution for the problem of mixing straining modes is found. Accuracy of the computer program is validated by a closed-form stiffness matrix, derived for the plane rectangular as well as square element. It is shown that method of integration has no effect on the straining modes, but it influences the eigenvalues of the bending modes. This effect is intensified by increasing the element aspect ratio, confirming the occurrence of shear locking.https://ceij.ut.ac.ir/article_68742_1f55996ad61b6ca5ff2cbc5b325cd8fd.pdffinite elementsplane stressreduced integrationshear lockingstraining modes |
| spellingShingle | Mehdi Ghassemieh Behrouz Badrkhani Ajaei Impact of Integration on Straining Modes and Shear-Locking for Plane Stress Finite Elements Civil Engineering Infrastructures Journal finite elements plane stress reduced integration shear locking straining modes |
| title | Impact of Integration on Straining Modes and Shear-Locking for Plane Stress Finite Elements |
| title_full | Impact of Integration on Straining Modes and Shear-Locking for Plane Stress Finite Elements |
| title_fullStr | Impact of Integration on Straining Modes and Shear-Locking for Plane Stress Finite Elements |
| title_full_unstemmed | Impact of Integration on Straining Modes and Shear-Locking for Plane Stress Finite Elements |
| title_short | Impact of Integration on Straining Modes and Shear-Locking for Plane Stress Finite Elements |
| title_sort | impact of integration on straining modes and shear locking for plane stress finite elements |
| topic | finite elements plane stress reduced integration shear locking straining modes |
| url | https://ceij.ut.ac.ir/article_68742_1f55996ad61b6ca5ff2cbc5b325cd8fd.pdf |
| work_keys_str_mv | AT mehdighassemieh impactofintegrationonstrainingmodesandshearlockingforplanestressfiniteelements AT behrouzbadrkhaniajaei impactofintegrationonstrainingmodesandshearlockingforplanestressfiniteelements |