X-IGA Used for Orthotropic Material Crack Growth
In this paper, we propose a new approach for numerically simulating the growth of cracks in unidirectional composite materials, termed extended isogeometric analysis, evaluating the maximum stress intensity factor and T-stress. To validate our approach, we used a small anisotropic plate with two edg...
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| Veröffentlicht in: | Materials 2024-08, Vol.17 (15), p.3830 |
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| creator | Berrada Gouzi, Mohammed El Khalfi, Ahmed Vlase, Sorin Scutaru, Maria Luminita |
| description | In this paper, we propose a new approach for numerically simulating the growth of cracks in unidirectional composite materials, termed extended isogeometric analysis, evaluating the maximum stress intensity factor and T-stress. To validate our approach, we used a small anisotropic plate with two edge cracks, beginning with formulating the governing equations based on the energy integral method, Stroh's Formula, and the Elastic Law describing the behaviour of anisotropic materials, while considering boundary conditions and initial states. A MATLAB code was developed to solve these equations numerically and to post-process the tensile stress and the stress intensity factor (SIF) in the first mode. The results for the SIF closely match those obtained using the extended finite element method (X-FEM), with a discrepancy of only 0.0021 Pa·m
. This finding underscores the credibility of our approach. The extended finite element method has demonstrated robustness in predicting crack propagation in composite materials in recent years, leading to its adoption by several widely used software packages in various industries. |
| doi_str_mv | 10.3390/ma17153830 |
| format | Article |
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. This finding underscores the credibility of our approach. 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To validate our approach, we used a small anisotropic plate with two edge cracks, beginning with formulating the governing equations based on the energy integral method, Stroh's Formula, and the Elastic Law describing the behaviour of anisotropic materials, while considering boundary conditions and initial states. A MATLAB code was developed to solve these equations numerically and to post-process the tensile stress and the stress intensity factor (SIF) in the first mode. The results for the SIF closely match those obtained using the extended finite element method (X-FEM), with a discrepancy of only 0.0021 Pa·m
. This finding underscores the credibility of our approach. The extended finite element method has demonstrated robustness in predicting crack propagation in composite materials in recent years, leading to its adoption by several widely used software packages in various industries.</abstract><cop>Switzerland</cop><pub>MDPI AG</pub><pmid>39124493</pmid><doi>10.3390/ma17153830</doi><orcidid>https://orcid.org/0000-0002-0132-1282</orcidid><orcidid>https://orcid.org/0000-0001-8679-2579</orcidid><oa>free_for_read</oa></addata></record> |
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| source | MDPI - Multidisciplinary Digital Publishing Institute; EZB-FREE-00999 freely available EZB journals; PubMed Central; Free Full-Text Journals in Chemistry; PubMed Central Open Access |
| subjects | Anisotropic plates Anisotropy Boundary conditions Composite materials Crack propagation Edge cracks Elastic anisotropy Energy Finite element method Geometry Propagation Simulation Stress intensity factors Tensile stress Unidirectional composites |
| title | X-IGA Used for Orthotropic Material Crack Growth |
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