Elasticity solutions of simply supported laminated cylindrical arches subjected to thermo-loads

Qian, Hui‐Fen; Zhou, Ding; Liu, Weiqing; Fang, Hai; Lu, Weidong

doi:10.1016/j.compstruct.2015.04.052

Cited by 17 publications

(3 citation statements)

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“…Where q has a sinusoidal distribution given by: (6) This shape of the load function is suitable for the solution of the differential equations. If one wants to represent a particular load distribution, it can be expanded as a Fourier series and Pagano's solution is still applicable, as will be discussed in the next section.…”

Section: )mentioning

confidence: 99%

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Thermoelastic analytical solution for 2D composite laminates

Lima¹,

Faria²

2018

Proceedings of the 4th Brazilian Conference on Composite Materials

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Thermo-mechanical phenomena are inherently related to composite materials, from manufacturing to service applications. Therefore, analytical and numerical models developed to simulate composite structural behaviour must satisfactorily account for thermal effects. Pagano's solutions for 2D and 3D composite problems are usually the base for comparison of the different theories and finite elements developments, even when thermo-mechanical behaviour is assessed. Although a number of papers in the literature use numerical results based on this solution, the formulation accounting for temperature effects is not explicitly presented, nor discussed. The objective of the present paper is to present Pagano's solution equations for a 2D case of a simply supported beam under a constant temperature field. Results obtained with the derived solution are discussed and compared against a 2D solid Finite Element Model (FEM) generated using a commercial software package.

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Section: )mentioning

confidence: 99%

“…Recent works by Qian et al present the analytical solutions for layered rectangular plates [5] and cylindrical arches [6] subjected to thermo-loads. These works solve the heat conduction equations for the layers, but a simpler approach is proposed in the present work.…”

Section: Introductionmentioning

confidence: 99%

Thermoelastic analytical solution for 2D composite laminates

Lima¹,

Faria²

2018

Proceedings of the 4th Brazilian Conference on Composite Materials

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“…Additionally, the exact thermoelasticity theory [29,30] can also be used to solve the arch problems. Using the thermoelasticity theory, Qian et al [31] studied the static behavior of laminated arches under thermal loading. The exact thermoelastic solutions were presented by using the Fourier series expansion method.…”

Section: Introductionmentioning

confidence: 99%

Thermoelastic Behaviors of Temperature-Dependent Multilayer Arches under Thermomechanical Loadings

Zhang,

Zhao,

Sun

et al. 2023

Buildings

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This work presents analytical solutions for thermoelastic behaviors of multilayer arches with temperature-dependent (TD) thermomechanical properties under thermomechanical loadings. The temperature is varied across the thickness of the arch. Firstly, an arched-slice model is developed, which divides every layer of the arch into numerous hypothetical arched slices with uniform thermomechanical properties. Based on the model, the nonlinear heat conduction equations across the thickness of the arch are solved using the iteration approach, and then the thermoelastic equations obtained from the two-dimensional thermoelasticity theory are solved using the state-space approach and transfer-matrix approach. The present solutions are compared with those obtained using the finite element method and the Euler–Bernoulli theory (EBT). It is found that the error of the EBT increases when the angle of the arch increases or the length-to-thickness ratio decreases. Finally, numerical examples are conducted to analyze the effects of surface temperature and TD thermomechanical properties on the temperature, displacement, and stress distributions of a sandwich arch. The results show that the temperature dependency of thermomechanical properties is a key parameter in predicting the thermoelastic behaviors of the arch in a high-temperature environment.

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