 | | Mechanics of Solids
A Journal of Russian Academy of Sciences | | Founded
in January 1966
Issued 6 times a year
Print ISSN 0025-6544
Online ISSN 1934-7936 |
Archive of Issues
| Total articles in the database: | | 13088 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8125
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| In English (Mech. Solids): | | 4963 |
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| E. Carrera, D. Scano, and M. Petrolo, "Evaluation of Variable Kinematics Beam, Plate, Shell Theories using the Asymptotic-Axiomatic Method," Mech. Solids. 60 (1), 311-337 (2025) |
| Year |
2025 |
Volume |
60 |
Number |
1 |
Pages |
311-337 |
| DOI |
10.1134/S0025654424606438 |
| Title |
Evaluation of Variable Kinematics Beam, Plate, Shell Theories using the Asymptotic-Axiomatic Method |
| Author(s) |
E. Carrera (MUL2 Lab, Department of Mechanical and Aerospace Engineering, Politecnico di Torino, Torino, 10129 Italy, erasmo.carrera@polito.it)
D. Scano (MUL2 Lab, Department of Mechanical and Aerospace Engineering, Politecnico di Torino, Torino, 10129 Italy, daniele.scano@polito.it)
M. Petrolo (MUL2 Lab, Department of Mechanical and Aerospace Engineering, Politecnico di Torino, Torino, 10129 Italy, marco.petrolo@polito.it) |
| Abstract |
This paper proposes a novel approach to evaluate structural theories based on their accuracy
and computational efficiency. The focus is on beam, plate, and shell theories built using polynomial
expansions of the displacement field. The structural theories and related finite element matrices are
obtained through the Carrera Unified Formulation. Each displacement component can have different
expansions, and the choice of the generalized variables to include is an input for the analysis. Similar
results were obtained in previous works through penalization techniques applied to the finite element
matrices. This paper presents a novel approach to building finite element matrices based on truncated
expansions of the unknown variables, leading to smaller matrices and lower computational costs. Best
theories concerning accuracy and computational costs are retrieved and presented through Best Theory Diagrams. Numerical results consider verification with data from literature and the analysis of
structural problems with localized effects, such as pinched shells and end-effect problems. The results
show the importance of correctly choosing the generalized variables, which may lead to reduced computational costs with negligible accuracy loss. |
| Keywords |
Finite element method, beams, plates and shells, Carrera Unified Formulation, Asymptotic-Axiomatic Method |
| Received |
14 November 2024 | Revised |
08 January 2025 | Accepted |
08 January 2025 |
| Link to Fulltext |
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