Stress–Strain Behaviour of Reparable Composite Panel with Step-Variable Thickness

There is an urgent problem of finding an economically viable method of maintenance and restoration of the bearing capacity of structures of various applications. Repair of structures with patches made of polymeric composite materials is one of the most promising repair technologies. However, an impr...

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Autores principales:	Andrii Kondratiev, Václav Píštěk, Lina Smovziuk, Maryna Shevtsova, Anna Fomina, Pavel Kučera
Formato:	article
Lenguaje:	EN
Publicado:	MDPI AG 2021
Materias:	patch notch transverse shear anisotropic shell Organic chemistry QD241-441
Acceso en línea:	https://doaj.org/article/07b8100b2a8e42458c3b7cc8057dbea1
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spelling	oai:doaj.org-article:07b8100b2a8e42458c3b7cc8057dbea12021-11-11T18:48:31ZStress–Strain Behaviour of Reparable Composite Panel with Step-Variable Thickness10.3390/polym132138302073-4360https://doaj.org/article/07b8100b2a8e42458c3b7cc8057dbea12021-11-01T00:00:00Zhttps://www.mdpi.com/2073-4360/13/21/3830https://doaj.org/toc/2073-4360There is an urgent problem of finding an economically viable method of maintenance and restoration of the bearing capacity of structures of various applications. Repair of structures with patches made of polymeric composite materials is one of the most promising repair technologies. However, an improper choice of parameters of the composite patch leads to unjustified increase in the structure mass and the cost of its further operation. These situations result from the lack of reliable methods for developing the repair process, which take into account the influence of the patch geometry and conditions for performance of repair works on the bearing capacity of the repaired structure. The mathematical model of the reparable composite shell–type panel taking into account inhomogeneity of transverse shear deformations at stepped variation of its thickness has been developed. In contrast to the classical theory of layered shells, the model allows simplifying a three-dimensional problem by setting of the displacement field on the layers’ interfaces and their linear interpolation over thickness of the panel, as well as considering the transverse shear deformations resulting from the strength, temperature, or shrinkage loading. According to results, the maximum rise in stresses in the case of a notched panel occurs in the weakened layer, and it is from this layer the failure of the structure will start. In the event of the patch, the panel surface opposite the reinforcement is the most loaded (i.e., susceptible to failure) surface. To confirm the reliability of the developed model, we compared the analytical calculations with the results of experimental and numerical studies of the deformed state of a panel of step–variable thickness by the method of holographic interferometry and modelling by the finite element method. Displacement fields available from experiments correspond to the predicted theoretical results. The resulting maximum error does not exceed 7%. The data obtained during numerical modelling allowed us to conclude that the accuracy of theoretical calculations is sufficient for engineering practice. Results of the work can be used to solve the practical problems such as determination of stress–strain behaviour of a damaged structure or structure after repair, specification of the permissible delamination dimensions, and defining of parameters of the bonded repair process.Andrii KondratievVáclav PíštěkLina SmovziukMaryna ShevtsovaAnna FominaPavel KučeraMDPI AGarticlepatchnotchtransverse shearanisotropic shellOrganic chemistryQD241-441ENPolymers, Vol 13, Iss 3830, p 3830 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	patch notch transverse shear anisotropic shell Organic chemistry QD241-441
spellingShingle	patch notch transverse shear anisotropic shell Organic chemistry QD241-441 Andrii Kondratiev Václav Píštěk Lina Smovziuk Maryna Shevtsova Anna Fomina Pavel Kučera Stress–Strain Behaviour of Reparable Composite Panel with Step-Variable Thickness
description	There is an urgent problem of finding an economically viable method of maintenance and restoration of the bearing capacity of structures of various applications. Repair of structures with patches made of polymeric composite materials is one of the most promising repair technologies. However, an improper choice of parameters of the composite patch leads to unjustified increase in the structure mass and the cost of its further operation. These situations result from the lack of reliable methods for developing the repair process, which take into account the influence of the patch geometry and conditions for performance of repair works on the bearing capacity of the repaired structure. The mathematical model of the reparable composite shell–type panel taking into account inhomogeneity of transverse shear deformations at stepped variation of its thickness has been developed. In contrast to the classical theory of layered shells, the model allows simplifying a three-dimensional problem by setting of the displacement field on the layers’ interfaces and their linear interpolation over thickness of the panel, as well as considering the transverse shear deformations resulting from the strength, temperature, or shrinkage loading. According to results, the maximum rise in stresses in the case of a notched panel occurs in the weakened layer, and it is from this layer the failure of the structure will start. In the event of the patch, the panel surface opposite the reinforcement is the most loaded (i.e., susceptible to failure) surface. To confirm the reliability of the developed model, we compared the analytical calculations with the results of experimental and numerical studies of the deformed state of a panel of step–variable thickness by the method of holographic interferometry and modelling by the finite element method. Displacement fields available from experiments correspond to the predicted theoretical results. The resulting maximum error does not exceed 7%. The data obtained during numerical modelling allowed us to conclude that the accuracy of theoretical calculations is sufficient for engineering practice. Results of the work can be used to solve the practical problems such as determination of stress–strain behaviour of a damaged structure or structure after repair, specification of the permissible delamination dimensions, and defining of parameters of the bonded repair process.
format	article
author	Andrii Kondratiev Václav Píštěk Lina Smovziuk Maryna Shevtsova Anna Fomina Pavel Kučera
author_facet	Andrii Kondratiev Václav Píštěk Lina Smovziuk Maryna Shevtsova Anna Fomina Pavel Kučera
author_sort	Andrii Kondratiev
title	Stress–Strain Behaviour of Reparable Composite Panel with Step-Variable Thickness
title_short	Stress–Strain Behaviour of Reparable Composite Panel with Step-Variable Thickness
title_full	Stress–Strain Behaviour of Reparable Composite Panel with Step-Variable Thickness
title_fullStr	Stress–Strain Behaviour of Reparable Composite Panel with Step-Variable Thickness
title_full_unstemmed	Stress–Strain Behaviour of Reparable Composite Panel with Step-Variable Thickness
title_sort	stress–strain behaviour of reparable composite panel with step-variable thickness
publisher	MDPI AG
publishDate	2021
url	https://doaj.org/article/07b8100b2a8e42458c3b7cc8057dbea1
work_keys_str_mv	AT andriikondratiev stressstrainbehaviourofreparablecompositepanelwithstepvariablethickness AT vaclavpistek stressstrainbehaviourofreparablecompositepanelwithstepvariablethickness AT linasmovziuk stressstrainbehaviourofreparablecompositepanelwithstepvariablethickness AT marynashevtsova stressstrainbehaviourofreparablecompositepanelwithstepvariablethickness AT annafomina stressstrainbehaviourofreparablecompositepanelwithstepvariablethickness AT pavelkucera stressstrainbehaviourofreparablecompositepanelwithstepvariablethickness
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Stress–Strain Behaviour of Reparable Composite Panel with Step-Variable Thickness

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