Algorithm of DRM with Kinetic Damping for Finite Element Static Solution of Strain-Softening Structures
In order to deal with the divergence and instability due to the ill-posedness of the nonlinear finite element (FE) model of strain-softening structure in implicit static analysis, the dynamic relaxation method (DRM) was used with kinetic damping to solve the static increments in the incremental solu...
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| Format: | Article |
| Language: | English |
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Wiley
2017-01-01
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| Series: | Advances in Materials Science and Engineering |
| Online Access: | http://dx.doi.org/10.1155/2017/8060987 |
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| author | Wei Wang Xiaozu Su |
| author_facet | Wei Wang Xiaozu Su |
| author_sort | Wei Wang |
| collection | DOAJ |
| description | In order to deal with the divergence and instability due to the ill-posedness of the nonlinear finite element (FE) model of strain-softening structure in implicit static analysis, the dynamic relaxation method (DRM) was used with kinetic damping to solve the static increments in the incremental solution procedure so that the problem becomes well-posed. Moreover, in DRM there is no need to assemble and inverse the stiffness matrix as in implicit static analysis such that the associated computational cost is avoided. The ascending branch of static equilibrium path was solved by load increments, while the peak point and the descending branch were solved by displacement increments. Two numerical examples illustrated the effectiveness of such application of DRM in the FE analysis of static equilibrium path of strain-softening structures. |
| format | Article |
| id | doaj-art-5acaa4362e974f09bf3699cd0d3b59c0 |
| institution | Kabale University |
| issn | 1687-8434 1687-8442 |
| language | English |
| publishDate | 2017-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Materials Science and Engineering |
| spelling | doaj-art-5acaa4362e974f09bf3699cd0d3b59c02025-02-03T05:54:07ZengWileyAdvances in Materials Science and Engineering1687-84341687-84422017-01-01201710.1155/2017/80609878060987Algorithm of DRM with Kinetic Damping for Finite Element Static Solution of Strain-Softening StructuresWei Wang0Xiaozu Su1College of Civil Engineering, Tongji University, Shanghai 200092, ChinaCollege of Civil Engineering, Tongji University, Shanghai 200092, ChinaIn order to deal with the divergence and instability due to the ill-posedness of the nonlinear finite element (FE) model of strain-softening structure in implicit static analysis, the dynamic relaxation method (DRM) was used with kinetic damping to solve the static increments in the incremental solution procedure so that the problem becomes well-posed. Moreover, in DRM there is no need to assemble and inverse the stiffness matrix as in implicit static analysis such that the associated computational cost is avoided. The ascending branch of static equilibrium path was solved by load increments, while the peak point and the descending branch were solved by displacement increments. Two numerical examples illustrated the effectiveness of such application of DRM in the FE analysis of static equilibrium path of strain-softening structures.http://dx.doi.org/10.1155/2017/8060987 |
| spellingShingle | Wei Wang Xiaozu Su Algorithm of DRM with Kinetic Damping for Finite Element Static Solution of Strain-Softening Structures Advances in Materials Science and Engineering |
| title | Algorithm of DRM with Kinetic Damping for Finite Element Static Solution of Strain-Softening Structures |
| title_full | Algorithm of DRM with Kinetic Damping for Finite Element Static Solution of Strain-Softening Structures |
| title_fullStr | Algorithm of DRM with Kinetic Damping for Finite Element Static Solution of Strain-Softening Structures |
| title_full_unstemmed | Algorithm of DRM with Kinetic Damping for Finite Element Static Solution of Strain-Softening Structures |
| title_short | Algorithm of DRM with Kinetic Damping for Finite Element Static Solution of Strain-Softening Structures |
| title_sort | algorithm of drm with kinetic damping for finite element static solution of strain softening structures |
| url | http://dx.doi.org/10.1155/2017/8060987 |
| work_keys_str_mv | AT weiwang algorithmofdrmwithkineticdampingforfiniteelementstaticsolutionofstrainsofteningstructures AT xiaozusu algorithmofdrmwithkineticdampingforfiniteelementstaticsolutionofstrainsofteningstructures |