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A. Singh, N. Karathanasopoulos, "Analytical Elasticity Solution for the Stress Analysis of Arbitrarily-supported Isotropic Beams under Localized Loads", in B.H.V. Topping, J. Kruis, (Editors), "Proceedings of the Fourteenth International Conference on Computational Structures Technology", Civil-Comp Press, Edinburgh, UK, Online volume: CCC 3, Paper 14.2, 2022, doi:10.4203/ccc.3.14.2

Keywords: elasticity solution, localized stresses, discontinuous load, patch load.

Abstract

A two-dimensional elasticity-based analytical solution is presented for accurate stress analysis of arbitrarily-supported isotropic beams subject to patch loads. The 2D elasticity-based system of governing equations is formulated in mixed form by employing the Reissner-type variational principle and solved analytically for arbitrary boundary conditions by employing a multi-term extended Kantorovich (EKM) approach. The correctness and efficacy of the present mechanical model are established by comparing its results with finite element analysis solutions. It is shown that the analytical formulation is capable of capturing the displacement and highly localized stress concentration profile arising from patch loads both in thin and thick geometric configurations, outperforming classical laminate theory predictions.

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Front Page Browse CCC CCP CSETS CTR IJRT Other Authors Search Purchase Guide FAQ Contact us	Civil-Comp Conferences ISSN 2753-3239 CCC: 3 PROCEEDINGS OF THE FOURTEENTH INTERNATIONAL CONFERENCE ON COMPUTATIONAL STRUCTURES TECHNOLOGY Edited by: B.H.V. Topping and J. Kruis Paper 14.2 Analytical Elasticity Solution for the Stress Analysis of Arbitrarily-supported Isotropic Beams under Localized Loads A. Singh and N. Karathanasopoulos Department of Engineering, New York University (NYU), Abu Dhabi, UAE doi:10.4203/ccc.3.14.2 Full Bibliographic Reference for this paper A. Singh, N. Karathanasopoulos, "Analytical Elasticity Solution for the Stress Analysis of Arbitrarily-supported Isotropic Beams under Localized Loads", in B.H.V. Topping, J. Kruis, (Editors), "Proceedings of the Fourteenth International Conference on Computational Structures Technology", Civil-Comp Press, Edinburgh, UK, Online volume: CCC 3, Paper 14.2, 2022, doi:10.4203/ccc.3.14.2 Keywords: elasticity solution, localized stresses, discontinuous load, patch load. Abstract A two-dimensional elasticity-based analytical solution is presented for accurate stress analysis of arbitrarily-supported isotropic beams subject to patch loads. The 2D elasticity-based system of governing equations is formulated in mixed form by employing the Reissner-type variational principle and solved analytically for arbitrary boundary conditions by employing a multi-term extended Kantorovich (EKM) approach. The correctness and efficacy of the present mechanical model are established by comparing its results with finite element analysis solutions. It is shown that the analytical formulation is capable of capturing the displacement and highly localized stress concentration profile arising from patch loads both in thin and thick geometric configurations, outperforming classical laminate theory predictions. download the full-text of this paper (PDF, 8 pages, 634 Kb) go to the previous paper go to the next paper return to the table of contents return to the volume description
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