Parametric Analysis of Thick FGM Plates Based on 3D Thermo-Elasticity Theory: A Proper Generalized Decomposition Approach
In the present work, the general and well-known model reduction technique, PGD (Proper Generalized Decomposition), is used for parametric analysis of thermo-elasticity of FGMs (Functionally Graded Materials). The FGMs have important applications in space technologies, especially when a part undergoe...
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| Format: | Article |
| Language: | English |
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MDPI AG
2023-02-01
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| Series: | Materials |
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| Online Access: | https://www.mdpi.com/1996-1944/16/4/1753 |
| _version_ | 1797619565836894208 |
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| author | Mohammad-Javad Kazemzadeh-Parsi Amine Ammar Francisco Chinesta |
| author_facet | Mohammad-Javad Kazemzadeh-Parsi Amine Ammar Francisco Chinesta |
| author_sort | Mohammad-Javad Kazemzadeh-Parsi |
| collection | DOAJ |
| description | In the present work, the general and well-known model reduction technique, PGD (Proper Generalized Decomposition), is used for parametric analysis of thermo-elasticity of FGMs (Functionally Graded Materials). The FGMs have important applications in space technologies, especially when a part undergoes an extreme thermal environment. In the present work, material gradation is considered in one, two and three directions, and 3D heat transfer and theory of elasticity equations are solved to have an accurate temperature field and be able to consider all shear deformations. A parametric analysis of FGM materials is especially useful in material design and optimization. In the PGD technique, the field variables are separated to a set of univariate functions, and the high-dimensional governing equations reduce to a set of one-dimensional problems. Due to the curse of dimensionality, solving a high-dimensional parametric problem is considerably more computationally intensive than solving a set of one-dimensional problems. Therefore, the PGD makes it possible to handle high-dimensional problems efficiently. In the present work, some sample examples in 4D and 5D computational spaces are solved, and the results are presented. |
| first_indexed | 2024-03-11T08:28:49Z |
| format | Article |
| id | doaj.art-e037b2cf469d4ee5814389a1064b8490 |
| institution | Directory Open Access Journal |
| issn | 1996-1944 |
| language | English |
| last_indexed | 2024-03-11T08:28:49Z |
| publishDate | 2023-02-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Materials |
| spelling | doaj.art-e037b2cf469d4ee5814389a1064b84902023-11-16T21:54:03ZengMDPI AGMaterials1996-19442023-02-01164175310.3390/ma16041753Parametric Analysis of Thick FGM Plates Based on 3D Thermo-Elasticity Theory: A Proper Generalized Decomposition ApproachMohammad-Javad Kazemzadeh-Parsi0Amine Ammar1Francisco Chinesta2LAMPA & ESI Group Chair, Arts et Metiers Institute of Technology, 49035 Angers, FranceLAMPA & ESI Group Chair, Arts et Metiers Institute of Technology, 49035 Angers, FrancePIMM Lab & ESI Group Chair, Arts et Metiers Institute of Technology, 75013 Paris, FranceIn the present work, the general and well-known model reduction technique, PGD (Proper Generalized Decomposition), is used for parametric analysis of thermo-elasticity of FGMs (Functionally Graded Materials). The FGMs have important applications in space technologies, especially when a part undergoes an extreme thermal environment. In the present work, material gradation is considered in one, two and three directions, and 3D heat transfer and theory of elasticity equations are solved to have an accurate temperature field and be able to consider all shear deformations. A parametric analysis of FGM materials is especially useful in material design and optimization. In the PGD technique, the field variables are separated to a set of univariate functions, and the high-dimensional governing equations reduce to a set of one-dimensional problems. Due to the curse of dimensionality, solving a high-dimensional parametric problem is considerably more computationally intensive than solving a set of one-dimensional problems. Therefore, the PGD makes it possible to handle high-dimensional problems efficiently. In the present work, some sample examples in 4D and 5D computational spaces are solved, and the results are presented.https://www.mdpi.com/1996-1944/16/4/1753proper generalized decompositionthermo-elasticitya priori model order reductionfunctionally graded materialthick plates |
| spellingShingle | Mohammad-Javad Kazemzadeh-Parsi Amine Ammar Francisco Chinesta Parametric Analysis of Thick FGM Plates Based on 3D Thermo-Elasticity Theory: A Proper Generalized Decomposition Approach Materials proper generalized decomposition thermo-elasticity a priori model order reduction functionally graded material thick plates |
| title | Parametric Analysis of Thick FGM Plates Based on 3D Thermo-Elasticity Theory: A Proper Generalized Decomposition Approach |
| title_full | Parametric Analysis of Thick FGM Plates Based on 3D Thermo-Elasticity Theory: A Proper Generalized Decomposition Approach |
| title_fullStr | Parametric Analysis of Thick FGM Plates Based on 3D Thermo-Elasticity Theory: A Proper Generalized Decomposition Approach |
| title_full_unstemmed | Parametric Analysis of Thick FGM Plates Based on 3D Thermo-Elasticity Theory: A Proper Generalized Decomposition Approach |
| title_short | Parametric Analysis of Thick FGM Plates Based on 3D Thermo-Elasticity Theory: A Proper Generalized Decomposition Approach |
| title_sort | parametric analysis of thick fgm plates based on 3d thermo elasticity theory a proper generalized decomposition approach |
| topic | proper generalized decomposition thermo-elasticity a priori model order reduction functionally graded material thick plates |
| url | https://www.mdpi.com/1996-1944/16/4/1753 |
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