Thermal buckling of functionally graded circular plates based on higher order shear deformation plate theory

Najafizadeh, M. M.; Heydari, Hassan

doi:10.1016/j.euromechsol.2004.08.004

Cited by 144 publications

(53 citation statements)

References 18 publications

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“…A significant amount of the research has involved the use of high-order theories to model the thermomechanical response of laminated or sandwich panels including Najafizadeh and Heydari [1], Dafedar and Desai [2], Kapuria and Achary [3], Shiau and Kuo [4], Matsunaga [5], Dawe [6] and Cooke [7]. However, none of these have included the core throughthickness flexibility.…”

Section: Introductionmentioning

confidence: 99%

Influence of thermomechanical interaction effects on the failure behaviour of polymer foam cored sandwich panels

Palleti

Zhang

Fruehmann

et al. 2015

Jnl of Sandwich Structures & Materials

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The paper presents an experimentally based and numerically supported investigation of the collapse behaviour of polymer foam cored sandwich beams subjected to combined mechanical and thermal loading. Recent analytical and numerical modelling results available in the literature have ascertained that collapse may be due to loss of stability induced by nonlinear interactions between mechanical loads and thermally induced deformations, when accounting for the reduction of the polymer foam core mechanical properties with increasing temperature. In the paper, experiments are devised whereby a thermal gradient is introduced into a sandwich beam specimen loaded in three point bending. The experiments cover a range of temperatures where one face sheet is heated from room temperature (25°C) to just below the glass transition temperature of the polymer foam core (70°C) and the other face sheet remains at room temperature. Digital image correlation (DIC) is used to obtain the local displacement field of the sandwich beam and its temperature is monitored using an infrared detector and thermocouples. The experimental results are compared with the predictions of both a generally nonlinear finite element model and an analytical so-called high-order sandwich panel theory (HSAPT) model. It is important to note that the HSAPT model has clear limitations as it takes into account only the geometric nonlinearity and thermal degradation of the foam core elastic properties, and it further assumes that the sandwich constituents are linear elastic with infinite straining capability. The HSAPT model predicts the occurrence of a strongly nonlinear load response leading to loss of stability (limit point Palleti, H.N.K.T., Zhang, S., Dulieu-Barton, J.M., Fruehmann, R.K. and Thomsen, O.T., "Influence of thermomechanical interaction effects on the failure behaviour of polymer foam cored sandwich panels", Journal of Sandwich Structures and Materials, 17, 2015, 308-331. DOI: 10.1177/1099636214567602. 2 behaviour). However, the experiments show that for the investigated sandwich beam configuration it is necessary to include the nonlinear material properties in the modelling, as the nonlinear beam response leading to failure and collapse is significantly influenced by plastic deformations in the constituent materials. Thus, core indentation and extensive plasticity precedes the transition to loss of stability driven by geometric nonlinearity and thermomechanical interaction effects. Finite element analyses that include both geometric and material nonlinearities provide results that correlate closely with the experimental observations. The work presented lays the foundations of a methodology for validating complex thermomechanical behaviour in sandwich structures using non-contact full-field measurement systems, and it demonstrates that analytical or numerical models based on the assumption of linear elastic material behaviour (such as the HSAPT model referenced in the paper) generally cannot adequately describe the thermomechanical be...

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Section: Introductionmentioning

confidence: 99%

Influence of thermomechanical interaction effects on the failure behaviour of polymer foam cored sandwich panels

Palleti

Zhang

Fruehmann

et al. 2015

Jnl of Sandwich Structures & Materials

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show abstract

“…These models are usually based on the ''equivalent single layer" approach (ESL approach), where the layered sandwich structure is represented by a solid panel with equivalent homogenized properties, Mindlin [4], Reddy [5]. Several researchers have used high order theories to model the thermo mechanical response of laminated monolithic or sandwich panels including Najafizadeh and Heydari [6], Dafedar and Desai [7], Kapuria and Achary [8], Shiau and Kuo [9], Matsunaga [10], Dawe [11] and Cooke [12]. However, none of these have in cluded the core through thickness flexibility.…”

Section: Introductionmentioning

confidence: 99%

Thermo-mechanical load interactions in foam cored axi-symmetric sandwich circular plates – High-order and FE models

Santiuste

Thomsen

Frostig

2011

Composite Structures

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a b s t r a c tThis work presents analytical and finite element analysis (FEA) results of the thermo mechanical non linear response of an axi symmetric circular sandwich plates with a compliant foam core. The study investigates the load thermal interaction response of a sandwich panel where the properties of the core are temperature dependent and degrade as the temperatures are raised. It presents briefly the governing equations for a sandwich plate based on the principles of the high order sandwich panel theory (HSAPT) which incorporates the effects of the vertical flexibility of the core material as well as the effects of tem perature independent/dependent mechanical properties of the foam core. The effects of the thermal deg radation of core material on the thermo mechanical non linear response of a simply supported circular sandwich plate are studied through the analytical and FE models. The difficulties involved in non linear geometrical FE modeling of sandwich panels with a compliant ''soft" core with temperature dependent mechanical properties are discussed. The HSAPT model predictions are compared very well with FE result. An important conclusion of the study is that the interaction between mechanical loads, tempera ture induced deformations, and degradation of the mechanical properties due to elevated temperatures, may seriously affect the structural integrity of foam cored sandwich plates.

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“…Javaheri and Eslami [13] developed closed form solutions for thermal buckling of simply supported FGM thick plates based on the third-order shear deformation theory (TSDT). Najafizadeh and Heydari [14] investigated the critical buckling temperature of clamped FGM circular thick plates based on TSDT, and compared it with results based on CPT and FSDT. Matsunaga [15] investigated the critical buckling temperature of simply supported FGM thick plates based on the 2D higher-order deformation theory that he developed, and compared the results with CPT and other lower-order shear deformation theories such as FSDT and TSDT.…”

Section: Introductionmentioning

confidence: 99%

Closed Form Solutions for Thermal Buckling of Functionally Graded Rectangular Thin Plates

Xing

Wang

2017

Applied Sciences

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This work concerns the critical buckling temperature of functionally graded rectangular thin plates; the properties of functionally graded material vary continuously in accordance with the power law of thickness z. Closed form solutions for the critical thermal parameter are obtained for the plate with the following boundary condition combinations: simply supported, clamped and guided edges, under uniform, linear and nonlinear temperature fields via the separation-of-variable method. Furthermore, a new method is proposed to determine the critical buckling temperature from the critical thermal parameter. The present results coincide well with those in the literature, verifying the correctness of the present method. The influences of the length-thickness ratio, length-width ratio, power law index and initial temperature on critical buckling temperature are investigated.

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Thermal buckling of functionally graded circular plates based on higher order shear deformation plate theory

Cited by 144 publications

References 18 publications

Influence of thermomechanical interaction effects on the failure behaviour of polymer foam cored sandwich panels

Influence of thermomechanical interaction effects on the failure behaviour of polymer foam cored sandwich panels

Thermo-mechanical load interactions in foam cored axi-symmetric sandwich circular plates – High-order and FE models

Closed Form Solutions for Thermal Buckling of Functionally Graded Rectangular Thin Plates

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