Thermo-mechanical buckling analysis of non-uniformly heated rectangular plates with temperature-dependent material properties

Ren, Yongan; Huo, Ruili; Zhou, Ding

doi:10.1016/j.tws.2023.110653

Cited by 10 publications

(4 citation statements)

References 43 publications

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“…Duryodhana et al [ 37 ] employed DQM to study the buckling (and free vibrations) of foamed composites. By means of DQM, Ren et al [ 39 ] investigated the thermal and mechanical buckling behavior of heated rectangular plates considering the characteristics of the temperature-dependent material.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear Thermal/Mechanical Buckling of Orthotropic Annular/Circular Nanoplate with the Nonlocal Strain Gradient Model

Sadeghian,

Palevicius,

Janusas

2023

Micromachines

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This article presents the nonlinear investigation of the thermal and mechanical buckling of orthotropic annular/circular single-layer/bilayer nanoplate with the Pasternak and Winkler elastic foundations based on the nonlocal strain gradient theory. The stability equations of the graphene plate are derived using higher-order shear deformation theory (HSDT) and first-order shear deformation theory (FSDT) considering nonlinear von Karman strains. Furthermore, this paper analyses the nonlinear thermal and mechanical buckling of the orthotropic bilayer annular/circular nanoplate. HSDT provides an appropriate distribution for shear stress in the thickness direction, removes the limitation of the FSDT, and provides proper precision without using a shear correction coefficient. To solve the stability equations, the differential quadratic method (DQM) is employed. Additionally, for validation, the results are checked with available papers. The effects of strain gradient coefficient, nonlocal parameter, boundary conditions, elastic foundations, and geometric dimensions are studied on the results of the nondimensional buckling loads. Finally, an equation is proposed in which the thermal buckling results can be obtained from mechanical results (or vice versa).

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Section: Introductionmentioning

confidence: 99%

Nonlinear Thermal/Mechanical Buckling of Orthotropic Annular/Circular Nanoplate with the Nonlocal Strain Gradient Model

Sadeghian,

Palevicius,

Janusas

2023

Micromachines

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“…The hypothesis may be tenable when the arch is under a limited temperature range. However, temperature dependency of thermomechanical properties must be included for a wide temperature range, otherwise considerable errors will arise [32][33][34][35]. Based on the EBT, the thermal bending, buckling, and vibration behaviors of temperature-dependent (TD) functionally graded (FG) arches were studied [36][37][38][39][40].…”

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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“…Based on the CPT, Yang et al [25] carried out the stress analysis of an infinite plate with a nonuniformly distributed temperature. Ren et al [26] carried out the buckling analysis of plates with nonuniformly distributed convection and radiation boundaries. The steady-state heat transfer problem and buckling problem were solved by using the differential quadrature method.…”

Section: Introductionmentioning

confidence: 99%

Transient Thermoelastic Analysis of Rectangular Plates with Time-Dependent Convection and Radiation Boundaries

Zhang,

Sun,

Xiang

et al. 2023

Buildings

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Approximate analytical solutions are presented for the transient thermoelastic problem of rectangular plates with time-dependent convection and radiation boundaries. To include the nonlinear radiation boundary, the whole heating process is divided into several time steps, and a linearized approximation is used to simplify the radiation term for each step. The one-dimensional transient temperature along the thickness direction is solved using the technique of the separation of variables. The displacement and stress solutions are obtained by applying the state-space method to the three-dimensional thermoelasticity equations. The accuracy of the present solutions is demonstrated by comparison with the reported results in the open literature and the finite element solutions. In the numerical examples, two kinds of thermal boundaries, namely, time-independent convection boundaries and time-dependent convection and radiation boundaries, are considered to show the availability of the present solutions.

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Thermo-mechanical buckling analysis of non-uniformly heated rectangular plates with temperature-dependent material properties

Cited by 10 publications

References 43 publications

Nonlinear Thermal/Mechanical Buckling of Orthotropic Annular/Circular Nanoplate with the Nonlocal Strain Gradient Model

Nonlinear Thermal/Mechanical Buckling of Orthotropic Annular/Circular Nanoplate with the Nonlocal Strain Gradient Model

Thermoelastic Behaviors of Temperature-Dependent Multilayer Arches under Thermomechanical Loadings

Transient Thermoelastic Analysis of Rectangular Plates with Time-Dependent Convection and Radiation Boundaries

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