Optimization of infinite orthotropic plates with hypotrochoid cutout under tensile loading using genetic algorithm

Jafari, Mohammad; Hoseyni, SA Mahmodzade

doi:10.1177/0731684416676634

Cited by 13 publications

(6 citation statements)

References 14 publications

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“…The analytical solution was used to determine the stress distribution around different holes in perforated composite plates. Using GA, Jafari and Hoseyni [52] introduced the optimum parameters in order to achieve the minimum value of stress around different cutouts. Vosoughi and Gerist [53] proposed a hybrid finite element (FE), PSO, and conventional continuous GA (CGA) for damage detection of laminated composite beams.…”

Section: Literature Reviewmentioning

confidence: 99%

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Optimum Design of Infinite Perforated Orthotropic and Isotropic Plates

et al. 2020

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In this study, an attempt was made to introduce the optimal values of effective parameters on the stress distribution around a circular/elliptical/quasi-square cutout in the perforated orthotropic plate under in-plane loadings. To achieve this goal, Lekhnitskii’s complex variable approach and Particle Swarm Optimization (PSO) method were used. This analytical method is based on using the complex variable method in the analysis of two-dimensional problems. The Tsai–Hill criterion and Stress Concentration Factor (SCF) are taken as objective functions and the fiber angle, bluntness, aspect ratio of cutout, the rotation angle of cutout, load angle, and material properties are considered as design variables. The results show that the PSO algorithm is able to predict the optimal value of each effective parameter. In addition, these parameters have significant effects on stress distribution around the cutouts and the load-bearing capacity of structures can be increased by appropriate selection of the effective design variables. The main innovation of this study is the use of PSO algorithm to determine the optimal design variables to increase the strength of the perforated plates. Finite element method (FEM) was employed to examine the results of the present analytical solution. The results obtained by the present solution are in accordance with numerical results.

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Section: Literature Reviewmentioning

confidence: 99%

“…] indicates the real part of the expression inside the brackets and z k = x + µ k y and µ k , k = 1, 2 are the roots of the characteristic equation of anisotropic materials. Finally, the stress components in terms of two potential functions of ϕ(z 1 ) and ψ(z 2 ) are expressed [52]:…”

Section: Theoretical Formulationmentioning

confidence: 99%

Optimum Design of Infinite Perforated Orthotropic and Isotropic Plates

et al. 2020

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“…Jafari and Bayati Chaleshtari 13 studied the optimization of orthotropic infinite plate with a quasi-square cutout using gray wolf optimizer. Also, using gray wolf algorithm Jafari and Mahmodzade Hoseyni 14 obtained the optimum values of effective parameters for orthotropic plates with polygonal cutout. Chen and Shen 15 expanded the complex variable method for asymmetrically laminated plates to express stress and displacement with four holomorphic functions.…”

Section: Literature Reviewmentioning

confidence: 99%

General solution of stress field in exponential functionally graded material plates containing a quasi-rectangular cutout

Jafari

Chaleshtari

Abdolalian

2018

Journal of Composite Materials

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In this paper, using an analytic technique based on complex variable method, the stress resultants and moments in infinite functionally graded plates with rectangular cutout under uniaxial tensile load are investigated. The mechanical properties of the functionally graded plate are assumed to change exponentially. The effect of different parameters such as cutout orientation, aspect ratio of the cutout, and cutout corner curvature on the distribution of stress resultants and moments is investigated. To verify the accuracy of the presented analytical method, its results are compared with the numerical results obtained from finite element modeling in ABAQUS. The comparisons demonstrate a good level of agreement between the obtained numerical and analytical results. According to the results, the above parameters have a significant impact on the distribution of stress resultants and moments around the cutout, and the load-bearing capacity of the functionally graded plates with cutouts can be improved by careful selection of these parameters.

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“…They examined the effects of various parameters such as radius of curvature of cutout, cutout orientation and load angle, on stress distribution. In another study, they investigated the optimum design of stress distribution in composite plates containing different cutouts under uniform tension [9,10]. Using the Lekhnitskii solution, they calculated the distribution of stress in plates containing quasi-square cutout and showed that for quasi-square cutout, by appropriate selecting the values of the parameters that affect the stress distribution such as: fiber angle, loading angle, material properties, the stress distribution can be significantly reduced.…”

Section: Introductionmentioning

confidence: 99%

A novel method for estimation of stress concentration factor of central cutouts located in orthotropic plate

Abbasnia

Jafari

Rohani

2021

J Braz. Soc. Mech. Sci. Eng.

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The purpose of this paper is to present a new method based on the regression analysis for estimating stress concentration factor of different cutouts in orthotropic plates. The existence of an explicit relation in terms of mechanical properties can be an approach for analyzing the stress of viscoelastic plates. Little research has been conducted to provide explicit relationships to calculate the theoretical stress concentration. In the present study first, using different values of the mechanical properties of the composites, stress concentration factor was calculated by employing an analytical solution based on the complex variable method. Then, using multiple linear regression, an explicit mathematical relation for different cutouts was presented with the purpose of estimating stress concentration factor in terms of mechanical properties. The results showed that the regression model is able to predict circumferential stress with a maximum error of 1% for circular, elliptical, triangular and square cutouts. Also, the evaluation of the model with k-fold cross validation method and also comparison with other studies showed that it is possible to rely on the present estimation. Working with the regression models, which are presented in this article, is very simple and can be practical.

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Optimization of infinite orthotropic plates with hypotrochoid cutout under tensile loading using genetic algorithm

Cited by 13 publications

References 14 publications

Optimum Design of Infinite Perforated Orthotropic and Isotropic Plates

Optimum Design of Infinite Perforated Orthotropic and Isotropic Plates

General solution of stress field in exponential functionally graded material plates containing a quasi-rectangular cutout

A novel method for estimation of stress concentration factor of central cutouts located in orthotropic plate

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