Thermal stress analysis in metallic plates with a non-circular hole subjected to uniform heat flux

Jafari, Mohammad; Nazari, Mohammad Bagher; Taherinasab, Amir

doi:10.1016/j.euromechsol.2016.05.004

Cited by 22 publications

(11 citation statements)

References 17 publications

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“…They analyzed temperature change behavior as an important function by using the Fourier series method. Jafari et al [31,32] utilized the complex variable technique to discuss the thermo-elastic stresses in an infinite metallic plate with a non-circular hole subjected to a steady heat flux. Rasouli and Jafari [33] developed the Lekhnitskii's solution to calculate the thermal stress created in an anisotropic plate weakened by elliptic holes and under a steady heat flux.…”

Section: Literature Reviewmentioning

confidence: 99%

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%

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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“…The complex variable technique is an efficient approach to address this class of problems. The complex variable technique has been used by many researchers for solving twodimensional boundary value problems [15]. Bhullar et al [6] evaluated thermal stresses induced in anisotropic plates containing an elliptical hole using an analytical approach and by considering isothermal state for the hole edges.…”

Section: Literature Reviewmentioning

confidence: 99%

“…Khechai and Mohite [14] obtained the optimum fiber and load orientation angles and the hole size in a perforated lamina as well as the symmetric com-posite plates having circular hole under different inplane loading conditions using an analytical approach. Jafari et al [15] employed the .lorence and Goodier approach to analyze thermoelastic stresses in an isotropic plate with a polygonal hole under constant heat flux. .urthermore, Jafari and Jafari [16] presented the stress distribution surrounding a noncircular hole within an infinite composite plate under steady state condition by utilizing the two-dimensional thermoelastic theory.…”

Section: Literature Reviewmentioning

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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“…By substituting relation (11) in the homogeneous form of equation ( 5) and integrating with Z k , the function (h) is calculated in terms of the function F (h) . Finally, relation ( 6) is rewritten in the following form…”

Section: Thermal Stress Fieldmentioning

confidence: 99%

“…Based on the 2D thermoelastic theory in a steadystate condition, the stress field around a noncircular hole in an infinite isotropic plate was obtained by Jafari et al 11 They showed that among all the investigated holes, the lowest stress is related to a triangular hole with bluntness parameter equal to 0.06 and hole orientation of 90 .…”

Section: Introductionmentioning

confidence: 99%

Effect of hole geometry on the thermal stress analysis of perforated composite plate under uniform heat flux

Jafari

2018

Journal of Composite Materials

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The presence of holes in composite plates subjected to a uniform heat flux induces thermal stresses. Hole geometry is one of the important parameters in the stress distribution in perforated composite plates. In this study, using the two-dimensional thermoelastic theory, and on the basis of the Lekhnitskii' complex variable technique in steady-state condition, stress distribution around holes with different shapes in an infinite composite plate under uniform heat flux is investigated. Using a conformal mapping function, the thermal stress analysis of an infinite plate with a circular hole under a uniform heat flux is developed to analyze the plate containing a noncircular hole. The perforated composite plate is under a uniform heat flux at infinity and Neumann boundary conditions and thermal-insulated condition at the edge of the hole are considered. The rotation angle of the hole, fiber angle, the flux angle, and bluntness are important parameters investigated in the present study. In addition, the optimal values of the effective parameters to achieve the lowest thermal stress around different holes have been reported for several different materials. The obtained results show that these parameters have a significant effect on the stress and displacement distributions around the rectangular hole.

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Thermal stress analysis in metallic plates with a non-circular hole subjected to uniform heat flux

Cited by 22 publications

References 17 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

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

Effect of hole geometry on the thermal stress analysis of perforated composite plate under uniform heat flux

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