Optimum Design of Perforated Orthotropic and Laminated Composite Plates under in-plane loading by genetic algorithm

Jafari, Mohammad; Moussavian, Hassan; Chaleshtari, Mohammad Hossein Bayati

doi:10.1007/s00158-017-1758-5

Cited by 22 publications

(12 citation statements)

References 19 publications

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“…5, the constant coefficients k 1 , k 2 , k 3 depend on the load method, while D 1 and D 2 are integration constants whose numerical values are determined on the basis of the boundary conditions given in this study. After determining the function φ(r) from compounds (2) and 3, the intensities of radial and circumferential moments in the base material (steel) m r1 , m θ1 and in the plating layer (titanium) m r2 , m θ2 are determined. The deflection of the bimetallic perforated plate with the plating layer is determined by the relationship:…”

Section: Methodsmentioning

confidence: 99%

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Research of stress distribution in the cross-section of a bimetallic perforated plate perpendicularly loaded with concentrated force

Konieczny

Achtelik

Gasiak

2020

Frattura Ed Integrità Strutturale

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The paper presents the stress distribution along the plate thickness in a bimetallic steel – titanium circular, axially symmetrical perforated plate produced in the technological process of explosion welding. The steel layer is the layer that transfers the load in the plate, while the titanium layer is used to improve the properties of the plate, e.g. corrosion resistance, thermal transmittance, etc. in the plate. Two cases of fastening were considered, i.e. a freely supported and fixed plate. Such plates are used in various engineering structures, e.g. simply supported plates can be used in loose material screens, while plates are fixed in heat exchangers. The load was assumed as a concentrated force applied perpendicularly to the plate surface. The results obtained numerically using the finite element method were compared with the results calculated according to the analytical equations. It has been shown that the difference in the results of equivalent von Mises stress calculations does not exceed 13%. The research results presented in the paper can be used by engineers to design bimetallic perforated plates perpendicularly loaded to their surface.

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Section: Methodsmentioning

confidence: 99%

“…n engineering structures, structural elements consisting of many layers [1,2] and of many materials [3] are often used plated elements called metallic composites [4,5]. Metallic composites (plating) are obtained by so-called explosive welding.…”

Section: Introductionmentioning

confidence: 99%

Research of stress distribution in the cross-section of a bimetallic perforated plate perpendicularly loaded with concentrated force

Konieczny

Achtelik

Gasiak

2020

Frattura Ed Integrità Strutturale

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“…such that x and y represent the Cartesian coordinates within a laminate with a quasi-triangular hole and can be represented in terms of θ as follows [28]:…”

Section: Conformal Mappingmentioning

confidence: 99%

Analytical Thermal Stress Analysis of Perforated Symmetric Composite Laminates Containing a Quasi-Triangular Hole

2020

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Â ñòàòüå èçó÷åíî ðàñïðåäåëåíèå òåïëîâûõ íàïðÿaeåíèé âîêðóã êâàçèòðåóãîëüíîãî îòâåðñòèÿ â ñèììåòðè÷íîì ñëîèñòîì êîìïîçèòå, ñîñòîÿùåì èç ñëîåâ ðàçëè÷íûõ êîìïîçèöèîííûõ ìàòåðèàëîâ. Íà îñíîâå ðåøåíèÿ äâóìåðíîé çàäà÷è òåðìîóïðóãîñòè äëÿ ñòàöèîíàðíîãî ñëó÷àÿ â ðàìêàõ ìåòîäà êîìïëåêñíûõ ïåðåìåííûõ àíàëèòè÷åñêè èññëåäîâàíî ïîâåäåíèå êîìïîçèòà ïîä âîçäåéñòâèåì îäíîðîäíîãî òåïëîâîãî ïîòîêà. Àíàëèòè÷åñêîå ðåøåíèå ïîëó÷åíî ïóòåì ïðåîáðàçîâàíèÿ ðåøåíèÿ Ëåõíèöêîãî ñ èñïîëüçîâàíèåì êëàññè÷åñêîé òåîðèè ñëîèñòûõ ïëàñòèí è ôóíêöèè êîíôîðìíîãî îòîáðàaeåíèÿ. Èçó÷åíî âëèÿíèå ðÿäà ïàðàìåòðîâ íà ðàñïðåäåëåíèå òåïëîâûõ íàïðÿaeåíèé âîêðóã îòâåðñòèÿ, âêëþ÷àÿ îðèåíòàöèþ îòâåðñòèÿ, ñòåïåíü çàêðóãëåíèÿ óãëîâ è ñîîòíîøåíèå ñòîðîí îòâåðñòèÿ, óãîë òåïëîâîãî ïîòîêà, ïîñëåäîâàòåëüíîñòü óêëàäêè, à òàêaeå ìàòåðèàë ñëîåâ. Ðåçóëüòàòû ïðèâåäåíû äëÿ ðàçëè÷íûõ ïîñëåäîâàòåëüíîñòåé óêëàäêè [45°/45°] s è [0°/90°] s. Íàéäåííîå àíàëèòè÷åñêîå ðåøåíèå ïîêàçûâàåò õîðîøåå ñîîòâåòñòâèå ñ ðåçóëüòàòàìè, ïîëó÷åííûìè ìåòîäîì êîíå÷íûõ ýëåìåíòîâ. Êëþ÷åâûå ñëîâà: ìåòîä êîìïëåêñíûõ ïåðåìåííûõ, êâàçèòðåóãîëüíîå îòâåðñòèå, ñèììåòðè÷íûé ñëîèñòûé êîìïîçèò, òåïëîâîå íàïðÿaeåíèå, ïîñëåäîâàòåëüíîñòü óêëàäêè ñëîåâ

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“…Getting a precise failure prediction is a challenging task. Jafari et al (2018) obtained an optimum solution for stacking sequence based on failure strength obtained using the Tsai-Hill (T-H) criterion. Khechai et al (2014) studied the effect of ply angle on failure strength of a lamina containing circular hole by using FEM.…”

Section: Introductionmentioning

confidence: 99%

Progressive failure analysis of laminated plate containing elliptical cutout

Magar

Lal

2021

IJSI

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PurposeThe prediction of accurate failure strength and a composite laminate failure load is of paramount importance for reliable design. The progressive failure analysis helps to predict the ultimate failure strength of the laminate, which is more than the first ply failure (FPF) strength. The presence of a hole in the laminate plate results in stress concentration, which affects the failure strength. The purpose of the current work is to analyze the stress variation and progressive failure of a symmetric laminated plate containing elliptical cutouts under in-plane tensile loading. The effect of various parameters on FPF and last ply failure (LPF) strength is studied.Design/methodology/approachThe ply-by-ply stresses around elliptical cutouts are obtained analytically using Muskhelishvili's complex variable formulation. To predict the progressive failure, Tsai–Hill (T-H) and Tsai–Wu (T-W) failure criteria are used, and depending on the mode of failure, lamina modulus is degraded.FindingsThe study has revealed that fiber orientation and stacking sequence for given loading have the most significant effect on the laminate's failure strength.Originality/valueComplex variable method and conformal mapping are simple and proficient for studying failure analysis of a laminated plate with elliptical cutout.

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Optimum Design of Perforated Orthotropic and Laminated Composite Plates under in-plane loading by genetic algorithm

Cited by 22 publications

References 19 publications

Research of stress distribution in the cross-section of a bimetallic perforated plate perpendicularly loaded with concentrated force

Research of stress distribution in the cross-section of a bimetallic perforated plate perpendicularly loaded with concentrated force

Analytical Thermal Stress Analysis of Perforated Symmetric Composite Laminates Containing a Quasi-Triangular Hole

Progressive failure analysis of laminated plate containing elliptical cutout

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