This paper proposes the use of Jacobi polynomials to approximate higher-ordertheories of beam, plate, and shell structures. The Carrera unified formulation isused in this context to express displacement kinematics in a hierarchical form.In this manner, classical to complex higher-order theories can be implementedwith ease. Particular attention is focused on the attenuation and the correctionof the shear locking. Therefore, reduced integration as well as mixed interpo-lation of tensorial components methods are investigated against the new finiteelements. Several case studies are taken into account to highlight the effective-ness and robustness of the proposed approach. Also, several benchmarks areprovided for future assessments.
Finite elements based on Jacobi shape functions for the analysis of beams, plates and shells / Pagani, Alfonso; Carrera, Erasmo; Scano, Daniele; Augello, Riccardo. - In: INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING. - ISSN 0029-5981. - (2023). [10.1002/nme.7316]
Finite elements based on Jacobi shape functions for the analysis of beams, plates and shells
Alfonso Pagani;Erasmo Carrera;Daniele Scano;Riccardo Augello
2023
Abstract
This paper proposes the use of Jacobi polynomials to approximate higher-ordertheories of beam, plate, and shell structures. The Carrera unified formulation isused in this context to express displacement kinematics in a hierarchical form.In this manner, classical to complex higher-order theories can be implementedwith ease. Particular attention is focused on the attenuation and the correctionof the shear locking. Therefore, reduced integration as well as mixed interpo-lation of tensorial components methods are investigated against the new finiteelements. Several case studies are taken into account to highlight the effective-ness and robustness of the proposed approach. Also, several benchmarks areprovided for future assessments.File | Dimensione | Formato | |
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Numerical Meth Engineering - 2023 - Pagani - Finite elements based on Jacobi shape functions for the analysis of beams .pdf
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https://hdl.handle.net/11583/2980314