A meshfree TSDT-based approach for modeling a skew plate

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dc.citation.epage447
dc.citation.issue2
dc.citation.journalTitleМатематичне моделювання та обчислення
dc.citation.spage438
dc.citation.volume11
dc.contributor.affiliationУніверситет Хасана ІІ Касабланки
dc.contributor.affiliationУніверситет Шуайба Дуккалі
dc.contributor.affiliationHassan II University of Casablanca
dc.contributor.affiliationChouaib Doukkali University
dc.contributor.authorБучауата, Ю.
dc.contributor.authorЕль Кадмірі, Р.
dc.contributor.authorБелаасіліа, Ю.
dc.contributor.authorТаймеслі, А.
dc.contributor.authorBouchaouata, Y.
dc.contributor.authorEl Kadmiri, R.
dc.contributor.authorBelaasilia, Y.
dc.contributor.authorTimesli, A.
dc.coverage.placenameЛьвів
dc.coverage.placenameLviv
dc.date.accessioned2025-10-20T08:10:34Z
dc.date.created2024-02-27
dc.date.issued2024-02-27
dc.description.abstractБеручи до уваги нові межі технології матеріалів для вдосконалення конструкційних матеріалів, досліджуємо аналіз вигину косої пластини з функціонально-градієнтного матеріалу (FGM) за допомогою безсіткового підходу на основі теорії зсувної деформації третього порядку (TSDT). Припускаємо, що розподіл матеріалу функціонально-градуйований за товщиною косої пластини. Запропонований підхід використовує як теорію суміші, так і безсітковий метод. Теорія суміші використовується для оцінки ефективних властивостей матеріалу для косої пластини.
dc.description.abstractTaking into account new frontiers in materials technology to improve construction materials, we investigate the bending analysis of a Functionally Graded Material (FGM) skewplate using a meshless approach based on Third-order Shear Deformation Theory (TSDT). We assume that the material distribution is functionally graded across the thickness of the skew plate. The proposed approach uses both mixture rule theory and the meshless method. The mixture rule theory is used to estimate the effective material properties of the skew plate.
dc.format.extent438-447
dc.format.pages10
dc.identifier.citationA meshfree TSDT-based approach for modeling a skew plate / Y. Bouchaouata, R. El Kadmiri, Y. Belaasilia, A. Timesli // Mathematical Modeling and Computing. — Lviv : Lviv Politechnic Publishing House, 2024. — Vol 11. — No 2. — P. 438–447.
dc.identifier.citationenA meshfree TSDT-based approach for modeling a skew plate / Y. Bouchaouata, R. El Kadmiri, Y. Belaasilia, A. Timesli // Mathematical Modeling and Computing. — Lviv : Lviv Politechnic Publishing House, 2024. — Vol 11. — No 2. — P. 438–447.
dc.identifier.doidoi.org/10.23939/mmc2024.02.438
dc.identifier.urihttps://ena.lpnu.ua/handle/ntb/113828
dc.language.isoen
dc.publisherВидавництво Львівської політехніки
dc.publisherLviv Politechnic Publishing House
dc.relation.ispartofМатематичне моделювання та обчислення, 2 (11), 2024
dc.relation.ispartofMathematical Modeling and Computing, 2 (11), 2024
dc.relation.references[1] Buragohain D. N., Patodi S. C. Large deflection analysis of skew plates by lumped triangular element formulation. Computers & Structures. 9 (2), 183–189 (1978).
dc.relation.references[2] Chia C.-Y. Nonlinear Analysis of Plates. McGraw-Hill International Book Company (1980).
dc.relation.references[3] Daripa R., Singha M. K. Influence of corner stresses on the stability characteristics of composite skew plates. International Journal of Non-Linear Mechanics. 44 (2), 138–146 (2009).
dc.relation.references[4] D. Das, Sahoo P., Saha K. Large-amplitude dynamic analysis of simply supported skew plates by a variational method. Journal of Sound and Vibration. 313 (1–2), 246–267 (2008).
dc.relation.references[5] Malekzadeh P., Foiuz A. R. Large deformation analysis of orthotropic skew plates with nonlinear rotationally restrained edges using DQM. Composite Structures. 80 (2), 196–206 (2007).
dc.relation.references[6] Duan M., Mahendran M. Large deflection analyses of skew plates using hybrid/mixed finite element method. Computers & Structures. 81 (13), 1415–1424 (2003).
dc.relation.references[7] Liew K. M., Han J.-B. Bending Analysis of Simply Supported Shear Deformable Skew Plates. Journal of Engineering Mechanics. 123 (3), 214–221 (1997).
dc.relation.references[8] Liew K. M., Chen X. L., Reddy J. N. Mesh-free radial basis function method for buckling analysis of non uniformly loaded arbitrarily shaped shear deformable plates. Computer Methods in Applied Mechanics and Engineering. 193 (3–5), 205–224 (2004).
dc.relation.references[9] Rajamohan C., Raamachandran J. Boundary element analysis of skew plates using a new fundamental solution. Mechanics Research Communications. 24 (4), 407–414 (1997).
dc.relation.references[10] El Kadmiri R., Belaasilia Y., Timesli A., Kadiri M. S. A hybrid algorithm using the FEM-MESHLESS method to solve nonlinear structural problems. Engineering Analysis with Boundary Elements. 140, 531–543 (2022).
dc.relation.references[11] Belaasilia Y., Timesli A., Braikat B., Jamal M. A numerical mesh-free model for elasto-plastic contact problems. Engineering Analysis with Boundary Elements. 82, 68–78 (2017).
dc.relation.references[12] Timesli A., Braikat B., Lahmam H., Zahrouni H. A new algorithm based on Moving Least Square method to simulate material mixing in friction stir welding. Engineering Analysis with Boundary Elements. 50, 372–380 (2015).
dc.relation.references[13] Saffah Z., Timesli A., Lahmam H., Azouani A., Amdi M. New collocation path-following approach for the optimal shape parameter using Kernel method. SN Applied Sciences. 3, 249 (2021).
dc.relation.references[14] El Kadmiri R., Belaasilia Y., Timesli A., Kadiri M. S. A meshfree method based on weak-strong form for structural analysis. Structural Engineering and Mechanics. 78 (6), 651–664 (2021).
dc.relation.references[15] Timesli A. Optimized Radius of Influence Domain in Meshless Approach for Modeling of Large Deformation Problems. Iranian Journal of Science and Technology, Transactions of Mechanical Engineering. 46, 541-551 (2021).
dc.relation.references[16] Janane Allah M., Belaasilia Y., Timesli A., El Haouzi A. TSDT theory for free vibration of functionally graded plates with various material properties. Mathematical Modeling and Computing. 8 (4), 691–704 (2021).
dc.relation.references[17] Janane Allah M., Timesli A., Belaasilia Y. Nonlinear dynamic analysis of porous functionally graded materials based on new third-order shear deformation theory. Steel and Composite Structures. 43 (1), 1–17 (2022).
dc.relation.references[18] Xu P. Improving the weighted least squares estimation of parameters in errors-in-variables models. Journal of the Franklin Institute. 356 (15), 8785–8802 (2019).
dc.relation.references[19] Morley L. S. D. Bending of a simply supported rhombic plate under uniform normal loading. The Quarterly Journal of Mechanics and Applied Mathematics. 15 (4), 413–426 (1962).
dc.relation.references[20] Bekkaye T. H. L., Fahsi B., Bousahla A. A., Bourada F., Tounsi A., Benrahou K. H., Tounsi A., Al Zahrani M. M. Porosity-dependent mechanical behaviors of FG plate using refined trigonometric shear deformation theory. Computers and Concrete. 26 (5), 439–450 (2020).
dc.relation.referencesen[1] Buragohain D. N., Patodi S. C. Large deflection analysis of skew plates by lumped triangular element formulation. Computers & Structures. 9 (2), 183–189 (1978).
dc.relation.referencesen[2] Chia C.-Y. Nonlinear Analysis of Plates. McGraw-Hill International Book Company (1980).
dc.relation.referencesen[3] Daripa R., Singha M. K. Influence of corner stresses on the stability characteristics of composite skew plates. International Journal of Non-Linear Mechanics. 44 (2), 138–146 (2009).
dc.relation.referencesen[4] D. Das, Sahoo P., Saha K. Large-amplitude dynamic analysis of simply supported skew plates by a variational method. Journal of Sound and Vibration. 313 (1–2), 246–267 (2008).
dc.relation.referencesen[5] Malekzadeh P., Foiuz A. R. Large deformation analysis of orthotropic skew plates with nonlinear rotationally restrained edges using DQM. Composite Structures. 80 (2), 196–206 (2007).
dc.relation.referencesen[6] Duan M., Mahendran M. Large deflection analyses of skew plates using hybrid/mixed finite element method. Computers & Structures. 81 (13), 1415–1424 (2003).
dc.relation.referencesen[7] Liew K. M., Han J.-B. Bending Analysis of Simply Supported Shear Deformable Skew Plates. Journal of Engineering Mechanics. 123 (3), 214–221 (1997).
dc.relation.referencesen[8] Liew K. M., Chen X. L., Reddy J. N. Mesh-free radial basis function method for buckling analysis of non uniformly loaded arbitrarily shaped shear deformable plates. Computer Methods in Applied Mechanics and Engineering. 193 (3–5), 205–224 (2004).
dc.relation.referencesen[9] Rajamohan C., Raamachandran J. Boundary element analysis of skew plates using a new fundamental solution. Mechanics Research Communications. 24 (4), 407–414 (1997).
dc.relation.referencesen[10] El Kadmiri R., Belaasilia Y., Timesli A., Kadiri M. S. A hybrid algorithm using the FEM-MESHLESS method to solve nonlinear structural problems. Engineering Analysis with Boundary Elements. 140, 531–543 (2022).
dc.relation.referencesen[11] Belaasilia Y., Timesli A., Braikat B., Jamal M. A numerical mesh-free model for elasto-plastic contact problems. Engineering Analysis with Boundary Elements. 82, 68–78 (2017).
dc.relation.referencesen[12] Timesli A., Braikat B., Lahmam H., Zahrouni H. A new algorithm based on Moving Least Square method to simulate material mixing in friction stir welding. Engineering Analysis with Boundary Elements. 50, 372–380 (2015).
dc.relation.referencesen[13] Saffah Z., Timesli A., Lahmam H., Azouani A., Amdi M. New collocation path-following approach for the optimal shape parameter using Kernel method. SN Applied Sciences. 3, 249 (2021).
dc.relation.referencesen[14] El Kadmiri R., Belaasilia Y., Timesli A., Kadiri M. S. A meshfree method based on weak-strong form for structural analysis. Structural Engineering and Mechanics. 78 (6), 651–664 (2021).
dc.relation.referencesen[15] Timesli A. Optimized Radius of Influence Domain in Meshless Approach for Modeling of Large Deformation Problems. Iranian Journal of Science and Technology, Transactions of Mechanical Engineering. 46, 541-551 (2021).
dc.relation.referencesen[16] Janane Allah M., Belaasilia Y., Timesli A., El Haouzi A. TSDT theory for free vibration of functionally graded plates with various material properties. Mathematical Modeling and Computing. 8 (4), 691–704 (2021).
dc.relation.referencesen[17] Janane Allah M., Timesli A., Belaasilia Y. Nonlinear dynamic analysis of porous functionally graded materials based on new third-order shear deformation theory. Steel and Composite Structures. 43 (1), 1–17 (2022).
dc.relation.referencesen[18] Xu P. Improving the weighted least squares estimation of parameters in errors-in-variables models. Journal of the Franklin Institute. 356 (15), 8785–8802 (2019).
dc.relation.referencesen[19] Morley L. S. D. Bending of a simply supported rhombic plate under uniform normal loading. The Quarterly Journal of Mechanics and Applied Mathematics. 15 (4), 413–426 (1962).
dc.relation.referencesen[20] Bekkaye T. H. L., Fahsi B., Bousahla A. A., Bourada F., Tounsi A., Benrahou K. H., Tounsi A., Al Zahrani M. M. Porosity-dependent mechanical behaviors of FG plate using refined trigonometric shear deformation theory. Computers and Concrete. 26 (5), 439–450 (2020).
dc.rights.holder© Національний університет “Львівська політехніка”, 2024
dc.subjectбезсітковий метод
dc.subjectтеорія зсувної деформації третього порядку
dc.subjectфункціонально-градієнтний матеріал
dc.subjectкоса пластина
dc.subjectmeshfree method
dc.subjectthird-order shear deformation theory
dc.subjectfunctionally graded material
dc.subjectskew plate
dc.titleA meshfree TSDT-based approach for modeling a skew plate
dc.title.alternativeБезсітковий підхід на основі теорії зсувної деформації третього порядку для моделювання косої пластини
dc.typeArticle

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Mathematical Modeling And Computing. – 2024. – Vol. 11, No. 2