Thermal stress analysis of orthotropic plate containing a rectangular hole using complex variable method

Jafari, Mohammad

doi:10.1016/j.euromechsol.2018.08.001

Cited by 43 publications

(15 citation statements)

References 20 publications

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Section: Literature Reviewmentioning

confidence: 99%

“…Chiang [36] studied stress distribution surrounding a circular hole in cubic crystals material under thermal loading. Jafari et al [37,38] investigated the stress and displacement fields in the orthotropic plates with a rectangular hole subject to a uniform heat flux. The main purpose of this article is to study the interaction of significant parameters on the behavior of multi-layer composite laminate containing a rectangular hole made of graphite/epoxy and E-glass/epoxy wet under constant heat flux.…”

Section: Analytical Solutionmentioning

confidence: 99%

“…In the above equation, the harmonic function T(x,y) implies the temperature distribution in the laminated composite plate. The solution of the aforementioned relationship can be considered as T = E t (x+s t y), where s t represents the roots of the characteristic equation (Equation (13)) [37]:…”

Section: Analytical Solutionmentioning

confidence: 99%

“…Based on Equation (17) and the displacement field [38], to achieve the stress components, it is necessary to derive the stress functions ψ i and ψ t . By considering the traction-free condition of the edge of the rectangular hole and also by considering the insulation of the hole edge, the stress functions ψ i and ψ t can be obtained [37].…”

Section: Analytical Solutionmentioning

confidence: 99%

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Mutual Influence of Geometric Parameters and Mechanical Properties on Thermal Stresses in Composite Laminated Plates with Rectangular Holes

et al. 2021

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In this research, the mutual influence of the mechanical properties and geometric parameters on thermal stress distribution in symmetric composite plates with a quasi-rectangular hole subjected to uniform heat flux is examined analytically using the complex variable technique. The analytical solution is obtained based on the thermo-elastic theory and the Lekhnitskii’s method. Furthermore, by employing a suitable mapping function, the solution of symmetric laminates containing a circular hole is extended to the quasi-rectangular hole. The effect of important parameters including the stacking sequence of laminates, the angular position, the bluntness, and the aspect ratio of the hole and the flux angle in the stacking sequence of [45/−45]s for composite materials are examined in relation to the thermal stress distribution. The thermal insulated state and Neumann boundary conditions at the hole edge are taken into account. It is found out that the hole rotation angles and heat flux angle play key roles in obtaining the optimum thermal stress distribution around the hole. The present analytical method can well investigate the interaction of effective parameters on symmetric multilayer composites under heat flux.

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Section: Literature Reviewmentioning

confidence: 99%

Section: Analytical Solutionmentioning

confidence: 99%

Section: Analytical Solutionmentioning

confidence: 99%

Section: Analytical Solutionmentioning

confidence: 99%

See 2 more Smart Citations

Mutual Influence of Geometric Parameters and Mechanical Properties on Thermal Stresses in Composite Laminated Plates with Rectangular Holes

et al. 2021

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“…As shown in Figure 1, the plate is under biaxial loading at an angle θ 1 (load angle) with respect to the x-axis. The square cutout has arbitrary orientations such that its major axis is directed at an angle θ 3 (rotation angle) with respect to the x-axis and fiber angle is θ 2 [59]. In this paper, the stress function is converted to an analytical expression with undetermined coefficients and displacements, and stresses can be calculated by stress function being determined.…”

Section: Theoretical Formulationmentioning

confidence: 99%

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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Thermal Stress Analysis of Inhomogeneous Infinite Solid to 2D Elasticity of Thermoelastic Problems

Adhe

Ghadle

2022

Springer Proceedings in Mathematics &Amp; Statistics

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Thermal stress analysis of orthotropic plate containing a rectangular hole using complex variable method

Cited by 43 publications

References 20 publications

Mutual Influence of Geometric Parameters and Mechanical Properties on Thermal Stresses in Composite Laminated Plates with Rectangular Holes

Mutual Influence of Geometric Parameters and Mechanical Properties on Thermal Stresses in Composite Laminated Plates with Rectangular Holes

Optimum Design of Infinite Perforated Orthotropic and Isotropic Plates

Thermal Stress Analysis of Inhomogeneous Infinite Solid to 2D Elasticity of Thermoelastic Problems

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