Effects of Elastic Couplings in a Compressed Plate Element with Cut-Out

Analytical calculations were performed on carbon fiber-reinforced polymer (CFRP) laminates in an asymmetrical configuration. The asymmetric configuration of composites was investigated, where extension–twisting and extension–bending couplings were used to obtain the elastic element. Analysis of the...

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Main Authors: Katarzyna Falkowicz, Sylwester Samborski, Paolo Sebastiano Valvo
Format: Article
Language:English
Published: MDPI AG 2022-11-01
Series:Materials
Subjects:
Online Access:https://www.mdpi.com/1996-1944/15/21/7752
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author Katarzyna Falkowicz
Sylwester Samborski
Paolo Sebastiano Valvo
author_facet Katarzyna Falkowicz
Sylwester Samborski
Paolo Sebastiano Valvo
author_sort Katarzyna Falkowicz
collection DOAJ
description Analytical calculations were performed on carbon fiber-reinforced polymer (CFRP) laminates in an asymmetrical configuration. The asymmetric configuration of composites was investigated, where extension–twisting and extension–bending couplings were used to obtain the elastic element. Analysis of the presence of elastic couplings was conducted according to Classical Laminate Theory (CLT). Components of matrices A, B, and D, as well as the parameters <i>D</i><sub>c</sub> and <i>B</i><sub>t</sub>, were obtained using the MATLAB software environment. The results show that couplings between the extension and bending, as well as between the extension and twisting, were strongly dependent on specimen plies’ orientation. Moreover, additional analysis was performed on the influence of layer angle on the terms which are components of the <i>B</i><sub>t</sub> and <i>D</i><sub>c</sub> coefficients. The results indicate that the angle of laying fibers around 45–50° significantly amplifies the effects of elastic couplings.
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spelling doaj.art-5d900ee3794144dea8edec04f6398cc82023-11-24T05:40:21ZengMDPI AGMaterials1996-19442022-11-011521775210.3390/ma15217752Effects of Elastic Couplings in a Compressed Plate Element with Cut-OutKatarzyna Falkowicz0Sylwester Samborski1Paolo Sebastiano Valvo2Faculty of Mechanical Engineering, Department of Machine Design and Mechatronics, Lublin University of Technology, Nadbystrzycka 36, 20-618 Lublin, PolandFaculty of Mechanical Engineering, Department of Mechanics, Lublin University of Technology, Nadbystrzycka 36, 20-618 Lublin, PolandDepartment of Civil and Industrial Engineering, University of Pisa, Largo Lucio Lazzarino, I-56122 Pisa, ItalyAnalytical calculations were performed on carbon fiber-reinforced polymer (CFRP) laminates in an asymmetrical configuration. The asymmetric configuration of composites was investigated, where extension–twisting and extension–bending couplings were used to obtain the elastic element. Analysis of the presence of elastic couplings was conducted according to Classical Laminate Theory (CLT). Components of matrices A, B, and D, as well as the parameters <i>D</i><sub>c</sub> and <i>B</i><sub>t</sub>, were obtained using the MATLAB software environment. The results show that couplings between the extension and bending, as well as between the extension and twisting, were strongly dependent on specimen plies’ orientation. Moreover, additional analysis was performed on the influence of layer angle on the terms which are components of the <i>B</i><sub>t</sub> and <i>D</i><sub>c</sub> coefficients. The results indicate that the angle of laying fibers around 45–50° significantly amplifies the effects of elastic couplings.https://www.mdpi.com/1996-1944/15/21/7752extension–twisting couplingextension–bending couplingFEMplates elementscoupled laminatesasymmetrical laminates
spellingShingle Katarzyna Falkowicz
Sylwester Samborski
Paolo Sebastiano Valvo
Effects of Elastic Couplings in a Compressed Plate Element with Cut-Out
Materials
extension–twisting coupling
extension–bending coupling
FEM
plates elements
coupled laminates
asymmetrical laminates
title Effects of Elastic Couplings in a Compressed Plate Element with Cut-Out
title_full Effects of Elastic Couplings in a Compressed Plate Element with Cut-Out
title_fullStr Effects of Elastic Couplings in a Compressed Plate Element with Cut-Out
title_full_unstemmed Effects of Elastic Couplings in a Compressed Plate Element with Cut-Out
title_short Effects of Elastic Couplings in a Compressed Plate Element with Cut-Out
title_sort effects of elastic couplings in a compressed plate element with cut out
topic extension–twisting coupling
extension–bending coupling
FEM
plates elements
coupled laminates
asymmetrical laminates
url https://www.mdpi.com/1996-1944/15/21/7752
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AT sylwestersamborski effectsofelasticcouplingsinacompressedplateelementwithcutout
AT paolosebastianovalvo effectsofelasticcouplingsinacompressedplateelementwithcutout