Investigation of Thermomechanical Buckling Characteristics of Auxetic Core Layered Smart Sandwich Plates
Abstract
Abstract: This study analytically investigated the thermo-mechanical buckling behavior of smart sandwich plates with auxetic core layer based on the theory of high-order shear deformation. The outer layers of the plate were modeled as Ba-TiO₃ and CoFe₂O₄, and the core layer was modeled as nickel material with auxetic cell structure. The equations of motion derived using Hamilton's Principle were solved by Navier method, and the effects of auxetic core properties and electric and magnetic fields were evaluated. Although the analytical model was based on the literature, new equations were developed for the interaction of auxetic core and smart materials. The findings showed that auxetic parameters and external fields have significant effects on the buckling temperature and critical loads. This study provides a theoretical basis for the thermo-mechanical buckling analysis of auxetic core sandwich plates.
Keywords
Auxetic Structure Smart Sandwich Plate Magneto Strictive Material Electro Elastic Material Thermal Buckling
References
- Mahesh, V., Mahesh, V., Harursampath, D., and Abouelregal, A.E. (2022) Simulation-based assessment of coupled frequency response of magneto-electro-elastic auxetic multifunctional structures subjected to various electromagnetic circuits. Proceedings of the Institution of Mechanical Engineers, Part L: Journal of Materials: Design and Applications. 236 (11), 2281–2296.
- Moshtagh, E., Eskandari-Ghadi, M., and Pan, E. (2019) Time-harmonic dislocations in a multilayered transversely isotropic magneto-electro-elastic half-space. Journal of Intelligent Material Systems and Structures. 30 (13), 1932–1950.
- Park, W.-T. and Han, S.-C. (2018) Buckling analysis of nano-scale magneto-electro-elastic plates using the nonlocal elasticity theory. Advances in Mechanical Engineering. 10 (8), 168781401879333.
- Mahesh, V. and Kattimani, S. (2019) Finite element simulation of controlled frequency response of skew multiphase magneto-electro-elastic plates. Journal of Intelligent Material Systems and Structures. 30 (12), 1757–1771.
- Wu, B., Zhang, C., Chen, W., and Zhang, C. (2015) Surface effects on anti-plane shear waves propagating in magneto-electro-elastic nanoplates. Smart Materials and Structures. 24 (9), 095017.
- Miehe, C. and Vallicotti, D. (2015) Variational Structural and Material Stability Analysis in Finite Electro‐Magneto‐Mechanics of Active Materials. PAMM. 15 (1), 7–10.
- Hadjiloizi, D.A., Kalamkarov, A.L., Metti, Ch., and Georgiades, A. V. (2014) Analysis of Smart Piezo-Magneto-Thermo-Elastic Composite and Reinforced Plates: Part I – Model Development. Curved and Layered Structures. 1 (1),.
- Hadjiloizi, D.A., Kalamkarov, A.L., Metti, Ch., and Georgiades, A. V. (2014) Analysis of Smart Piezo-Magneto-Thermo-Elastic Composite and Reinforced Plates: Part II – Applications. Curved and Layered Structures. 1 (1),.
- Arefi, M. and Zenkour, A.M. (2016) Employing sinusoidal shear deformation plate theory for transient analysis of three layers sandwich nanoplate integrated with piezo-magnetic face-sheets. Smart Materials and Structures. 25 (11), 115040.
- Javani, M., Eslami, M.R., and Kiani, Y. (2024) Active control of thermally induced vibrations of temperature-dependent FGM circular plate with piezoelectric sensor/actuator layers. Aerospace Science and Technology. 146 108997.
- Tseghai, G.B., Malengier, B., Fante, K.A., Nigusse, A.B., and Van Langenhove, L. (2020) Integration of Conductive Materials with Textile Structures, an Overview. Sensors. 20 (23), 6910.
- Bajoria, K.M. and Patare, S.A. (2021) Shape control of hybrid functionally graded plate through smart application of piezoelectric material using simple plate theory. SN Applied Sciences. 3 (2), 209.
- Du, H., Yao, Y., Zhou, X., and Zhao, Y. (2023) Two‐way shape memory behavior of styrene‐based bilayer shape memory polymer plate. Polymers for Advanced Technologies. 34 (1), 252–260.
- Wang, S.Y., Tai, K., and Quek, S.T. (2006) Topology optimization of piezoelectric sensors/actuators for torsional vibration control of composite plates. Smart Materials and Structures. 15 (2), 253–269.
- Hoseinzadeh, M. and Rezaeepazhand, J. (2020) Dynamic stability enhancement of laminated composite sandwich plates using smart elastomer layer. Journal of Sandwich Structures & Materials. 22 (8), 2796–2817.
- Martin, K., Daub, D., Esser, B., Gülhan, A., and Reese, S. (2021) Numerical Modelling of Fluid-Structure Interaction for Thermal Buckling in Hypersonic Flow. in: pp. 341–355.
- Deng, W., Wang, B.-W., Lei, K., and Wu, J.-T. (2023) Thermal buckling behavior of metal/composite wall panels. Journal of Physics: Conference Series. 2472 (1), 012001.
- Zou, X., Guo, D., and Zhang, L. (2015) Dynamic Analysis of the Titanium Alloy Plate under Thermal-acoustic Loadings. MATEC Web of Conferences. 35 01005.
- Sha, Y.D., Gao, Z.J., Xu, F., and Li, J.Y. (2011) Influence of Thermal Loading on the Dynamic Response of Thin-Walled Structure under Thermo-Acoustic Loading. Advanced Engineering Forum. 2–3 876–881.
- Ersoy, H., Mercan, K., and Civalek, Ö. (2018) Frequencies of FGM shells and annular plates by the methods of discrete singular convolution and differential quadrature methods. Composite Structures. 183 7–20.
- Kiani, Y. and Eslami, M.R. (2013) An exact solution for thermal buckling of annular FGM plates on an elastic medium. Composites Part B: Engineering. 45 (1), 101–110.
- Zhang, D.-G. (2014) Thermal post-buckling and nonlinear vibration analysis of FGM beams based on physical neutral surface and high order shear deformation theory. Meccanica. 49 (2), 283–293.
- Tornabene, F. and Viola, E. (2009) Free vibration analysis of functionally graded panels and shells of revolution. Meccanica. 44 (3), 255–281.
- Yuan, W.X. and Dawe, D.J. (2002) Free vibration of sandwich plates with laminated faces. International Journal for Numerical Methods in Engineering. 54 (2), 195–217.
- Tocci Monaco, G., Fantuzzi, N., Fabbrocino, F., and Luciano, R. (2021) Critical Temperatures for Vibrations and Buckling of Magneto-Electro-Elastic Nonlocal Strain Gradient Plates. Nanomaterials. 11 (1), 87.
- Esen, I. and Özmen, R. (2024) Free and forced thermomechanical vibration and buckling responses of functionally graded magneto-electro-elastic porous nanoplates. Mechanics Based Design of Structures and Machines. 52 (3), 1505–1542.
- Esen, I., Abdelrhmaan, A.A., and Eltaher, M.A. (2022) Free vibration and buckling stability of FG nanobeams exposed to magnetic and thermal fields. Engineering with Computers. 38 (4), 3463–3482.
Auxetic Çekirdek Katmanlı Akıllı Sandviç Plakaların Termomekanik Burkulma Karakteristiklerinin İncelenmesi
Abstract
Bu çalışma, yüksek dereceli kayma deformasyonu teorisini temel alarak, auxetic çekirdek katmanlı akıllı sandviç plakaların termo-mekanik burkulma davranışını analitik olarak incelemiştir. Plakanın dış katmanları BaTiO₃ ve CoFe₂O₄, çekirdek katmanı ise auxetic hücre yapısına sahip nikel malzeme ile modellenmiştir. Ham-ilton İlkesi kullanılarak türetilen hareket denklemleri, Navier yöntemiyle çözül-müş, auxetic çekirdek özellikleri ile elektrik ve manyetik alanların etkileri değerlendirilmiştir. Analitik model literatüre dayanmakla birlikte, auxetic çe-kirdek ve akıllı malzemelerin etkileşimine yönelik yeni denklemler geliştirilmiştir. Bulgular, auxetic parametreler ve harici alanların, burkulma sıcaklığı ve kritik yükler üzerinde önemli etkileri olduğunu göstermiştir. Bu çalışma, auxetic çe-kirdekli sandviç plakaların termo-mekanik burkulma analizi için teorik bir temel sunmaktadır.
Keywords
Auxetic Yapı Akıllı Sandviç Plaka Manyetostriktif Malzeme Elektro Elastik Malzeme Termal Burkulma
References
- Mahesh, V., Mahesh, V., Harursampath, D., and Abouelregal, A.E. (2022) Simulation-based assessment of coupled frequency response of magneto-electro-elastic auxetic multifunctional structures subjected to various electromagnetic circuits. Proceedings of the Institution of Mechanical Engineers, Part L: Journal of Materials: Design and Applications. 236 (11), 2281–2296.
- Moshtagh, E., Eskandari-Ghadi, M., and Pan, E. (2019) Time-harmonic dislocations in a multilayered transversely isotropic magneto-electro-elastic half-space. Journal of Intelligent Material Systems and Structures. 30 (13), 1932–1950.
- Park, W.-T. and Han, S.-C. (2018) Buckling analysis of nano-scale magneto-electro-elastic plates using the nonlocal elasticity theory. Advances in Mechanical Engineering. 10 (8), 168781401879333.
- Mahesh, V. and Kattimani, S. (2019) Finite element simulation of controlled frequency response of skew multiphase magneto-electro-elastic plates. Journal of Intelligent Material Systems and Structures. 30 (12), 1757–1771.
- Wu, B., Zhang, C., Chen, W., and Zhang, C. (2015) Surface effects on anti-plane shear waves propagating in magneto-electro-elastic nanoplates. Smart Materials and Structures. 24 (9), 095017.
- Miehe, C. and Vallicotti, D. (2015) Variational Structural and Material Stability Analysis in Finite Electro‐Magneto‐Mechanics of Active Materials. PAMM. 15 (1), 7–10.
- Hadjiloizi, D.A., Kalamkarov, A.L., Metti, Ch., and Georgiades, A. V. (2014) Analysis of Smart Piezo-Magneto-Thermo-Elastic Composite and Reinforced Plates: Part I – Model Development. Curved and Layered Structures. 1 (1),.
- Hadjiloizi, D.A., Kalamkarov, A.L., Metti, Ch., and Georgiades, A. V. (2014) Analysis of Smart Piezo-Magneto-Thermo-Elastic Composite and Reinforced Plates: Part II – Applications. Curved and Layered Structures. 1 (1),.
- Arefi, M. and Zenkour, A.M. (2016) Employing sinusoidal shear deformation plate theory for transient analysis of three layers sandwich nanoplate integrated with piezo-magnetic face-sheets. Smart Materials and Structures. 25 (11), 115040.
- Javani, M., Eslami, M.R., and Kiani, Y. (2024) Active control of thermally induced vibrations of temperature-dependent FGM circular plate with piezoelectric sensor/actuator layers. Aerospace Science and Technology. 146 108997.
- Tseghai, G.B., Malengier, B., Fante, K.A., Nigusse, A.B., and Van Langenhove, L. (2020) Integration of Conductive Materials with Textile Structures, an Overview. Sensors. 20 (23), 6910.
- Bajoria, K.M. and Patare, S.A. (2021) Shape control of hybrid functionally graded plate through smart application of piezoelectric material using simple plate theory. SN Applied Sciences. 3 (2), 209.
- Du, H., Yao, Y., Zhou, X., and Zhao, Y. (2023) Two‐way shape memory behavior of styrene‐based bilayer shape memory polymer plate. Polymers for Advanced Technologies. 34 (1), 252–260.
- Wang, S.Y., Tai, K., and Quek, S.T. (2006) Topology optimization of piezoelectric sensors/actuators for torsional vibration control of composite plates. Smart Materials and Structures. 15 (2), 253–269.
- Hoseinzadeh, M. and Rezaeepazhand, J. (2020) Dynamic stability enhancement of laminated composite sandwich plates using smart elastomer layer. Journal of Sandwich Structures & Materials. 22 (8), 2796–2817.
- Martin, K., Daub, D., Esser, B., Gülhan, A., and Reese, S. (2021) Numerical Modelling of Fluid-Structure Interaction for Thermal Buckling in Hypersonic Flow. in: pp. 341–355.
- Deng, W., Wang, B.-W., Lei, K., and Wu, J.-T. (2023) Thermal buckling behavior of metal/composite wall panels. Journal of Physics: Conference Series. 2472 (1), 012001.
- Zou, X., Guo, D., and Zhang, L. (2015) Dynamic Analysis of the Titanium Alloy Plate under Thermal-acoustic Loadings. MATEC Web of Conferences. 35 01005.
- Sha, Y.D., Gao, Z.J., Xu, F., and Li, J.Y. (2011) Influence of Thermal Loading on the Dynamic Response of Thin-Walled Structure under Thermo-Acoustic Loading. Advanced Engineering Forum. 2–3 876–881.
- Ersoy, H., Mercan, K., and Civalek, Ö. (2018) Frequencies of FGM shells and annular plates by the methods of discrete singular convolution and differential quadrature methods. Composite Structures. 183 7–20.
- Kiani, Y. and Eslami, M.R. (2013) An exact solution for thermal buckling of annular FGM plates on an elastic medium. Composites Part B: Engineering. 45 (1), 101–110.
- Zhang, D.-G. (2014) Thermal post-buckling and nonlinear vibration analysis of FGM beams based on physical neutral surface and high order shear deformation theory. Meccanica. 49 (2), 283–293.
- Tornabene, F. and Viola, E. (2009) Free vibration analysis of functionally graded panels and shells of revolution. Meccanica. 44 (3), 255–281.
- Yuan, W.X. and Dawe, D.J. (2002) Free vibration of sandwich plates with laminated faces. International Journal for Numerical Methods in Engineering. 54 (2), 195–217.
- Tocci Monaco, G., Fantuzzi, N., Fabbrocino, F., and Luciano, R. (2021) Critical Temperatures for Vibrations and Buckling of Magneto-Electro-Elastic Nonlocal Strain Gradient Plates. Nanomaterials. 11 (1), 87.
- Esen, I. and Özmen, R. (2024) Free and forced thermomechanical vibration and buckling responses of functionally graded magneto-electro-elastic porous nanoplates. Mechanics Based Design of Structures and Machines. 52 (3), 1505–1542.
- Esen, I., Abdelrhmaan, A.A., and Eltaher, M.A. (2022) Free vibration and buckling stability of FG nanobeams exposed to magnetic and thermal fields. Engineering with Computers. 38 (4), 3463–3482.
Details
| Primary Language | English |
|---|---|
| Subjects | Dynamics, Vibration and Vibration Control |
| Journal Section | Articles |
| Authors | |
| Early Pub Date | June 27, 2025 |
| Publication Date | June 30, 2025 |
| Submission Date | November 28, 2024 |
| Acceptance Date | February 7, 2025 |
| Published in Issue | Year 2025 Volume: 11 Issue: 1 |
