Modeling the stress-strain state of variable-thickness composite shells and plates

A model for calculating the stress-strain state of variablethickness composite shells has been developed, based on assumptions such us the classical theory of Timoshenko-Mindlin shells. In the proposed model, the plate thickness is given by a function of curvilinear coordinates and is directly consi...

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Vydané v:	E3S web of conferences Ročník 376; s. 1040
Hlavní autori:	Dimitrienko, Yu, Zakharova, Yu
Médium:	Journal Article Konferenčný príspevok..
Jazyk:	English
Vydavateľské údaje:	Les Ulis EDP Sciences 01.01.2023
Predmet:	Algorithms Composite structures Differential equations Equilibrium Equilibrium equations Finite difference method Mathematical models Mindlin plates Shells Shells (structural forms) Spherical coordinates Strain Stress-strain relationships theory of timoshenko-mindlin shells tridiagonal matrix algorithm Variable thickness variable-thickness plates
ISSN:	2267-1242, 2555-0403, 2267-1242
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Abstract	A model for calculating the stress-strain state of variablethickness composite shells has been developed, based on assumptions such us the classical theory of Timoshenko-Mindlin shells. In the proposed model, the plate thickness is given by a function of curvilinear coordinates and is directly considered in the derivation of the equilibrium equations of the plate. The general equations of the theory of variable-thickness composite plates are derived. The article analyses the solution of the problem of plates bending under uniform pressure considering the variable thickness. For the numerical solution, the finite difference method (FDM) has been applied to the system of differential equations with matrix coefficients. For the resultant algebraic system, the FDM uses the tridiagonal matrix algorithm in computing the solution. The calculation results are compared with a plate of constant thickness. It is shown that the effect of thickness variability is quite significant.
AbstractList	A model for calculating the stress-strain state of variablethickness composite shells has been developed, based on assumptions such us the classical theory of Timoshenko-Mindlin shells. In the proposed model, the plate thickness is given by a function of curvilinear coordinates and is directly considered in the derivation of the equilibrium equations of the plate. The general equations of the theory of variable-thickness composite plates are derived. The article analyses the solution of the problem of plates bending under uniform pressure considering the variable thickness. For the numerical solution, the finite difference method (FDM) has been applied to the system of differential equations with matrix coefficients. For the resultant algebraic system, the FDM uses the tridiagonal matrix algorithm in computing the solution. The calculation results are compared with a plate of constant thickness. It is shown that the effect of thickness variability is quite significant.
Author	Zakharova, Yu Dimitrienko, Yu
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Cites_doi	10.1080/15376494.2018.1495795 10.1007/s11029-022-09997-y 10.1016/1359-8368(95)00027-5 10.1088/1757-899X/934/1/012015 10.1016/j.compositesb.2012.08.012 10.1088/1757-899X/868/1/012002 10.1007/s10778-016-0782-2 10.3103/S105261882101009X 10.1007/978-94-017-7494-9 10.1016/j.tws.2008.10.002 10.1007/978-94-007-0034-5
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SubjectTerms	Algorithms Composite structures Differential equations Equilibrium Equilibrium equations Finite difference method Mathematical models Mindlin plates Shells Shells (structural forms) Spherical coordinates Strain Stress-strain relationships theory of timoshenko-mindlin shells tridiagonal matrix algorithm Variable thickness variable-thickness plates
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Title	Modeling the stress-strain state of variable-thickness composite shells and plates
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