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Journal of Thermal Stresses Volume 36, 2013 - Issue 5
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Original Articles

Thermal Buckling Analysis of a Mindlin Rectangular FGM Microplate Based on the Strain Gradient Theory

R. Ansari Department of Mechanical Engineering, University of Guilan, Rasht, Iran
,
R. Gholami Department of Mechanical Engineering, Lahijan Branch, Islamic Azad University, Lahijan, IranCorrespondence[email protected]
,
M. Faghih Shojaei Department of Mechanical Engineering, University of Guilan, Rasht, Iran
,
V. Mohammadi Department of Mechanical Engineering, University of Guilan, Rasht, Iran
&
M. A. Darabi Department of Mechanical Engineering, University of Guilan, Rasht, Iran
Pages 446-465 | Received 12 May 2012, Accepted 03 Aug 2012, Published online: 04 Apr 2013

Citations (34)

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Read on this site (3)

Roshan Lal & Neha Ahlawat. (2019) Buckling and vibrations of two-directional FGM Mindlin circular plates under hydrostatic peripheral loading. Mechanics of Advanced Materials and Structures 26:3, pages 199-214.
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Jian Lei, Yuming He, Song Guo, Zhenkun Li & Dabiao Liu. (2017) Thermal buckling and vibration of functionally graded sinusoidal microbeams incorporating nonlinear temperature distribution using DQM. Journal of Thermal Stresses 40:6, pages 665-689.
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M. Hosseini & A. Jamalpoor. (2015) Analytical Solution for Thermomechanical Vibration of Double-Viscoelastic Nanoplate-Systems Made of Functionally Graded Materials. Journal of Thermal Stresses 38:12, pages 1428-1456.
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Articles from other publishers (31)

Vuong Nguyen Van Do, Thanh Hai Ong & Chin-Hyung Lee. (2024) Nonlinear thermal buckling analysis of temperature-dependent porous annular and circular microplates reinforced by graphene platelets by using isogeometric analysis method. Engineering Structures 305, pages 117738.
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Neha Ahlawat & Rahul Saini. (2023) Vibration and Buckling Analysis of Elastically Supported Bi-directional FGM Mindlin Circular Plates Having Variable Thickness. Journal of Vibration Engineering & Technologies 12:1, pages 513-532.
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Mainakh Das & Anand Bhushan. (2023) Investigation of the Effects of Residual Stress on Static and Dynamic Behaviour of an Imperfect MEMS Circular Microplate. Iranian Journal of Science and Technology, Transactions of Mechanical Engineering 47:4, pages 2143-2158.
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Fatemeh Abbaspour & Hadi Arvin. (2021) Thermo-electro-mechanical buckling analysis of sandwich nanocomposite microplates reinforced with graphene platelets integrated with piezoelectric facesheets resting on elastic foundation. Computers & Mathematics with Applications 101, pages 38-50.
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Armagan Karamanli, Metin Aydogdu & Thuc P. Vo. (2021) A comprehensive study on the size-dependent analysis of strain gradient multi-directional functionally graded microplates via finite element model. Aerospace Science and Technology 111, pages 106550.
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Hosein Shahraki, Hossein Tajmir Riahi, Mohsen Izadinia & Sayed Behzad Talaeitaba. (2019) Mindlin’s strain gradient theory for vibration analysis of FG-CNT-reinforced composite nanoplates resting on Kerr foundation in thermal environment. Journal of Thermoplastic Composite Materials 34:1, pages 68-101.
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Jan Awrejcewicz, Anton V. Krysko, Maxim V. Zhigalov & Vadim A. KryskoJan Awrejcewicz, Anton V. Krysko, Maxim V. Zhigalov & Vadim A. Krysko. 2021. Mathematical Modelling and Numerical Analysis of Size-Dependent Structural Members in Temperature Fields. Mathematical Modelling and Numerical Analysis of Size-Dependent Structural Members in Temperature Fields 25 78 .
M. Arefi, M. Kiani & O. Civalek. (2020) 3-D magneto-electro-thermal analysis of layered nanoplate including porous core nanoplate and piezomagnetic face-sheets. Applied Physics A 126:1.
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M.H. Jalaei & Ӧ. Civalek. (2019) On dynamic instability of magnetically embedded viscoelastic porous FG nanobeam. International Journal of Engineering Science 143, pages 14-32.
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Cuong-Le Thanh, Loc V. Tran, T. Vu-Huu, H. Nguyen-Xuan & M. Abdel-Wahab. (2019) Size-dependent nonlinear analysis and damping responses of FG-CNTRC micro-plates. Computer Methods in Applied Mechanics and Engineering 353, pages 253-276.
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Cuong-Le Thanh, Loc V. Tran, T. Vu-Huu & M. Abdel-Wahab. (2019) The size-dependent thermal bending and buckling analyses of composite laminate microplate based on new modified couple stress theory and isogeometric analysis. Computer Methods in Applied Mechanics and Engineering 350, pages 337-361.
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Amir Farzam & Behrooz Hassani. (2019) Size-dependent analysis of FG microplates with temperature-dependent material properties using modified strain gradient theory and isogeometric approach. Composites Part B: Engineering 161, pages 150-168.
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H. Salehipour & A. Shahsavar. (2018) A three dimensional elasticity model for free vibration analysis of functionally graded micro/nano plates: Modified strain gradient theory. Composite Structures 206, pages 415-424.
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Nebojša Radić. (2018) On buckling of porous double-layered FG nanoplates in the Pasternak elastic foundation based on nonlocal strain gradient elasticity. Composites Part B: Engineering 153, pages 465-479.
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Reza Aghazadeh, Serkan Dag & Ender Cigeroglu. (2018) Thermal effect on bending, buckling and free vibration of functionally graded rectangular micro-plates possessing a variable length scale parameter. Microsystem Technologies 24:8, pages 3549-3572.
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J.H. Tian & K. Jiang. (2018) Heat conduction investigation of the functionally graded materials plates with variable gradient parameters under exponential heat source load. International Journal of Heat and Mass Transfer 122, pages 22-30.
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Mokhtar Bouazza, Ashraf M. Zenkour & Noureddine Benseddiq. (2018) Closed-from solutions for thermal buckling analyses of advanced nanoplates according to a hyperbolic four-variable refined theory with small-scale effects. Acta Mechanica 229:5, pages 2251-2265.
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Mergen H. Ghayesh, Hamed Farokhi, Alireza Gholipour & Mohammad Tavallaeinejad. (2018) Nonlinear oscillations of functionally graded microplates. International Journal of Engineering Science 122, pages 56-72.
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Son Thai, Huu-Tai Thai, Thuc P. Vo & H. Nguyen-Xuan. (2017) Nonlinear static and transient isogeometric analysis of functionally graded microplates based on the modified strain gradient theory. Engineering Structures 153, pages 598-612.
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Son Thai, Huu-Tai Thai, Thuc P. Vo & J.N. Reddy. (2017) Post-buckling of functionally graded microplates under mechanical and thermal loads using isogeomertic analysis. Engineering Structures 150, pages 905-917.
Crossref
Huu-Tai Thai, Thuc P. Vo, Trung-Kien Nguyen & Seung-Eock Kim. (2017) A review of continuum mechanics models for size-dependent analysis of beams and plates. Composite Structures 177, pages 196-219.
Crossref
Xue Ji, Anqing Li & Shenjie Zhou. (2017) A comparison of strain gradient theories with applications to the functionally graded circular micro-plate. Applied Mathematical Modelling 49, pages 124-143.
Crossref
Ali Jamalpoor & Ali Kiani. (2017) Vibration analysis of bonded double-FGM viscoelastic nanoplate systems based on a modified strain gradient theory incorporating surface effects. Applied Physics A 123:3.
Crossref
R. Ansari, R. Gholami, M. Faghih Shojaei, V. Mohammadi & M.A. Darabi. (2016) Coupled longitudinal-transverse-rotational free vibration of post-buckled functionally graded first-order shear deformable micro- and nano-beams based on the Mindlin's strain gradient theory. Applied Mathematical Modelling 40:23-24, pages 9872-9891.
Crossref
M. Hosseini, A. Jamalpoor & M. Bahreman. (2016) Small-scale effects on the free vibrational behavior of embedded viscoelastic double-nanoplate-systems under thermal environment. Acta Astronautica 129, pages 400-409.
Crossref
R. Gholami & R. Ansari. (2016) A most general strain gradient plate formulation for size-dependent geometrically nonlinear free vibration analysis of functionally graded shear deformable rectangular microplates. Nonlinear Dynamics 84:4, pages 2403-2422.
Crossref
R. Ansari, A. Norouzzadeh, R. Gholami, M. Faghih Shojaei & M. A. Darabi. (2016) Geometrically nonlinear free vibration and instability of fluid-conveying nanoscale pipes including surface stress effects. Microfluidics and Nanofluidics 20:1.
Crossref
R. Ansari, R. Gholami, M. Faghih Shojaei, V. Mohammadi & M.A. Darabi. (2015) Size-dependent nonlinear bending and postbuckling of functionally graded Mindlin rectangular microplates considering the physical neutral plane position. Composite Structures 127, pages 87-98.
Crossref
Roshan Lal & Neha Ahlawat. (2015) Axisymmetric vibrations and buckling analysis of functionally graded circular plates via differential transform method. European Journal of Mechanics - A/Solids 52, pages 85-94.
Crossref
A. Jamalpoor & M. Hosseini. (2015) Biaxial buckling analysis of double-orthotropic microplate-systems including in-plane magnetic field based on strain gradient theory. Composites Part B: Engineering 75, pages 53-64.
Crossref
Mergen H. Ghayesh. (2014) Nonlinear size-dependent behaviour of single-walled carbon nanotubes. Applied Physics A 117:3, pages 1393-1399.
Crossref

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