A Review of Peridynamics and its Applications; Part1: The Models based on Peridynamics
Peridynamics is a nonlocal version of the continuum mechanics, in which partial differential equations are replaced by integro-differential ones. Due to not using spatial derivatives of the field variables, it can be applied to problems with discontinuities. In the primary studies, peridynamics has...
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| Format: | Article |
| Language: | fas |
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Isfahan University of Technology
2022-09-01
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| Series: | Ravish/hā-yi ̒adadī dar Muhandisī |
| Subjects: | |
| Online Access: | http://jcme.iut.ac.ir/article-1-915-en.html |
| _version_ | 1811211447376543744 |
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| author | P. Sheikhbahaei F. Mossaiby |
| author_facet | P. Sheikhbahaei F. Mossaiby |
| author_sort | P. Sheikhbahaei |
| collection | DOAJ |
| description | Peridynamics is a nonlocal version of the continuum mechanics, in which partial differential equations are replaced by integro-differential ones. Due to not using spatial derivatives of the field variables, it can be applied to problems with discontinuities. In the primary studies, peridynamics has been used to simulate crack propagation in brittle materials. With proving the capabilities of peridynamics, the idea of using this theory to simulate crack propagation in quasi-brittle materials and plastic behavior has been proposed. To this end, formulations and models based on peridynamics have been developed. Meanwhile, the high computational cost of peridynamic methods is the main disadvantage of this theory. With the development of peridynamic methods and introduction of hybrid methods based on peridynamics and local theories, the computational cost of peridynamic methods has been reduced to a large extent. This paper introduces peridynamics and the models based on it. To this end, we first review peridynamics, its formulations, and the methods based on it. Then we discuss the modeling of quasi-brittle materials, simulation of plastic behavior and employing the differential operators in this theory. |
| first_indexed | 2024-04-12T05:13:18Z |
| format | Article |
| id | doaj.art-fb5bcecd2afa489ea827416e3563ebf2 |
| institution | Directory Open Access Journal |
| issn | 2228-7698 2423-5741 |
| language | fas |
| last_indexed | 2024-04-12T05:13:18Z |
| publishDate | 2022-09-01 |
| publisher | Isfahan University of Technology |
| record_format | Article |
| series | Ravish/hā-yi ̒adadī dar Muhandisī |
| spelling | doaj.art-fb5bcecd2afa489ea827416e3563ebf22022-12-22T03:46:42ZfasIsfahan University of TechnologyRavish/hā-yi ̒adadī dar Muhandisī2228-76982423-57412022-09-01411135A Review of Peridynamics and its Applications; Part1: The Models based on PeridynamicsP. Sheikhbahaei0F. Mossaiby1 Department of Civil Engineering, University of Isfahan, Isfahan, Iran Department of Civil Engineering, University of Isfahan, Isfahan, Iran Peridynamics is a nonlocal version of the continuum mechanics, in which partial differential equations are replaced by integro-differential ones. Due to not using spatial derivatives of the field variables, it can be applied to problems with discontinuities. In the primary studies, peridynamics has been used to simulate crack propagation in brittle materials. With proving the capabilities of peridynamics, the idea of using this theory to simulate crack propagation in quasi-brittle materials and plastic behavior has been proposed. To this end, formulations and models based on peridynamics have been developed. Meanwhile, the high computational cost of peridynamic methods is the main disadvantage of this theory. With the development of peridynamic methods and introduction of hybrid methods based on peridynamics and local theories, the computational cost of peridynamic methods has been reduced to a large extent. This paper introduces peridynamics and the models based on it. To this end, we first review peridynamics, its formulations, and the methods based on it. Then we discuss the modeling of quasi-brittle materials, simulation of plastic behavior and employing the differential operators in this theory.http://jcme.iut.ac.ir/article-1-915-en.htmlperidynamicsfracture mechanicsnonlocal modelcrack growthdamage |
| spellingShingle | P. Sheikhbahaei F. Mossaiby A Review of Peridynamics and its Applications; Part1: The Models based on Peridynamics Ravish/hā-yi ̒adadī dar Muhandisī peridynamics fracture mechanics nonlocal model crack growth damage |
| title | A Review of Peridynamics and its Applications; Part1: The Models based on Peridynamics |
| title_full | A Review of Peridynamics and its Applications; Part1: The Models based on Peridynamics |
| title_fullStr | A Review of Peridynamics and its Applications; Part1: The Models based on Peridynamics |
| title_full_unstemmed | A Review of Peridynamics and its Applications; Part1: The Models based on Peridynamics |
| title_short | A Review of Peridynamics and its Applications; Part1: The Models based on Peridynamics |
| title_sort | review of peridynamics and its applications part1 the models based on peridynamics |
| topic | peridynamics fracture mechanics nonlocal model crack growth damage |
| url | http://jcme.iut.ac.ir/article-1-915-en.html |
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