Bending Behavior of Sandwich Plates with Aggregated CNT-Reinforced Face Sheets
محورهای موضوعی : EngineeringM Mirzaalian 1 , F Aghadavoudi 2 , R Moradi-Dastjerdi 3
1 - Department of Mechanical Engineering, Khomeinishahr Branch, Islamic Azad University, Khomeinishahr, Iran
2 - Department of Mechanical Engineering, Khomeinishahr Branch, Islamic Azad University, Khomeinishahr, Iran
3 - Young Researchers and Elite Club, Khomeinishahr Branch, Islamic Azad University, Khomeinishahr, Iran
کلید واژه: Aggregated carbon nanotube, Elastic foundation, Mesh-free method, Bending, Sandwich plates,
چکیده مقاله :
The main aim of this paper is to investigate bending behavior in sandwich plates with functionally graded carbon nanotube reinforced composite (FG-CNTRC) face sheets with considering the effects of carbon nanotube (CNT) aggregation. The sandwich plates are assumed resting on Winkler-Pasternak elastic foundation and a mesh-free method based on first order shear deformation theory (FSDT) is developed to analyze the deflection of sandwich plates. In the face sheets, volume fraction of CNTs and their clusters are considered to be changed along the thickness. To estimate the material properties of the nanocomposite, Eshelby-Mori-Tanaka approach is applied. In the mesh-free analysis, moving least squares (MLS) shape functions are employed to approximate the displacement field and transformation method is used for imposition of essential boundary conditions. The effects of CNT volume fraction, distribution and degree of aggregation, and also boundary conditions and geometric dimensions are investigated on the bending behavior of the sandwich plates. It is observed that in the same value of cluster volume, FG distribution of clusters leads to less deflection in these structures.
[1] Iijima S., Ichihashi T., 1993, Single-shell carbon nanotubes of 1-nm diameter, Nature 363: 603-605.
[2] Thai H., Choi D., 2011, A refined plate theory for functionally graded plates resting on elastic foundation, Composites Science and Technology 71(16): 1850-1858.
[3] Shen H., 2009, Nonlinear bending of functionally graded carbon nanotube-reinforced composite plates in thermal environments, Composite Structures 91(1): 9-19.
[4] Alibeigloo A., 2013, Static analysis of functionally graded carbon nanotube-reinforced composite plate embedded in piezoelectric layers by using theory of elasticity, Composite Structures 95: 612-622.
[5] Shariyat M., Darabi E., 2013, A variational iteration solution for elastic – plastic impact of polymer / clay nanocomposite plates with or without global lateral deflection , employing an enhanced contact law, International Journal of Mechanical Sciences 67: 14-27.
[6] Pourasghar A., Kamarian S., 2013,Three-dimensional solution for the vibration analysis of functionally graded multiwalled carbon nanotubes/phenolic nanocomposite cylindrical panels on elastic foundation, Polymer Composites 34(12): 2040-2048.
[7] Malekzadeh P., Zarei A. R., 2014, Free vibration of quadrilateral laminated plates with carbon nanotube reinforced composite layers, Thin Walled Structures 82: 221-232.
[8] Kundalwal S. I., Meguid S. A., 2015, Effect of carbon nanotube waviness on active damping of laminated hybrid composite shells, Acta Mechanica 226: 2035-2052.
[9] Mohammadimehr M., Navi B. R., Ghorbanpour Arani A., 2016, Modified strain gradient Reddy rectangular plate model for biaxial buckling and bending analysis of double-coupled piezoelectric polymeric nanocomposite reinforced by FG-SWNT, Composites Part B 87: 132-148.
[10] Ghorbanpour Arani A., Mosayyebi M., Kolahdouzan F., Kolahchi R., Jamali M., 2017, Refined zigzag theory for vibration analysis of viscoelastic functionally graded carbon nanotube reinforced composite microplates integrated with piezoelectric layers, Proceedings of the Institution of Mechanical Engineers Part G, Journal of Aerospace Engineering 231(13): 2464-2478.
[11] Ghorbanpour Arani A., Jafari G. S., 2015, Nonlinear vibration analysis of laminated composite Mindlin micro/nano-plates resting on orthotropic Pasternak medium using DQM, Applied Mathematics and Mechanics 36(8): 1033-1044.
[12] Ghorbanpour Arani A., Haghparast E., Ghorbanpour Arani A. H., 2016, Size‐dependent vibration of double‐bonded carbon nanotube‐reinforced composite microtubes conveying fluid under longitudinal magnetic field, Polymer Composites 37(5): 1375-1383.
[13] Pourasghar A., Yas M., Kamarian S., 2013, Local aggregation effect of CNT on the vibrational behavior of four-parameter continuous grading nanotube-reinforced cylindrical panels, Polymer Composites 34: 707-721.
[14] Aragh B. S., Hedayati H., 2012, Eshelby-Mori-Tanaka approach for vibrational behavior of continuously graded carbon nanotube-reinforced cylindrical panels, Composites Part B 43(4): 1943-1954.
[15] Tahouneh V., Yas M. H., 2014, Influence of equivalent continuum model based on the Eshelby-Mori-Tanaka scheme on the vibrational response of elastically supported thick continuously graded carbon nanotube-reinforced annular plates, Polymer Composites 35: 1644-1661.
[16] Moradi-Dastjerdi R., Payganeh G., Malek-Mohammadi H., 2015, Free vibration analyses of functionally graded CNT reinforced nanocomposite sandwich plates resting on elastic foundation, Journal of Solid Mechanics 7(2): 158-172.
[17] Moradi-Dastjerdi R., Malek-Mohammadi H., 2017, Biaxial buckling analysis of functionally graded nanocomposite sandwich plates reinforced by aggregated carbon nanotube using improved high-order theory, Journal of Sandwich Structures & Materials 19(6): 736-769.
[18] Moradi-Dastjerdi R., Malek-Mohammadi H., Momeni-Khabisi H., 2017, Free vibration analysis of nanocomposite sandwich plates reinforced with CNT aggregates, ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematikund Mechanik 97(11): 1418-1435.
[19] Moradi-Dastjerdi R., Malek-Mohammadi H., 2017, Free vibration and buckling analyses of functionally graded nanocomposite plates reinforced by carbon nanotube, Mechanics of Advanced Materials and Structures 4(1): 59-73.
[20] Lei Z. X., Liew K. M., Yu J. L., 2013, Buckling analysis of functionally graded carbon nanotube-reinforced composite plates using the element-free kp -Ritz method, Composite Structures 98: 160-168.
[21] Moradi-Dastjerdi R., Sheikhi M. M., Shamsolhoseinian H. R., 2014, Stress distribution in functionally graded nanocomposite cylinders reinforced by wavy carbon nanotube, International Journal of Advanced Manufacturing Technology 7(4): 43-54.
[22] Sheikhi M. M., Shamsolhoseinian H. R., Moradi-Dastjerdi R., 2016, Investigation on stress distribution in functionally graded nanocomposite cylinders reinforced by carbon nanotubes in thermal environment, International Journal of Advanced Manufacturing Technology 9(2): 81-93.
[23] Moradi-Dastjerdi R., Pourasghar A., 2016, Dynamic analysis of functionally graded nanocomposite cylinders reinforced by wavy carbon nanotube under an impact load, Journal of Vibration and Control 22: 1062-1075.
[24] Moradi-Dastjerdi R., Payganeh G., 2017, Transient heat transfer analysis of functionally graded CNT reinforced cylinders with various boundary conditions, Steel and Composite Structures 24(3): 359-367.
[25] Shams S., Soltani B., 2015, The effects of carbon nanotube waviness and aspect ratio on the buckling behavior of functionally graded nanocomposite plates using a meshfree method, Polymer Composites 38: 1-11.
[26] Moradi-Dastjerdi R., 2016, Wave propagation in functionally graded composite cylinders reinforced by aggregated carbon nanotube, Structural Engineering and Mechanics 57(3): 441-456.
[27] Moradi-Dastjerdi R., Payganeh G., Tajdari M., 2017, The effects of carbon nanotube orientation and aggregation on static behavior of functionally graded nanocomposite cylinders, Journal of Solid Mechanics 9(1): 198-212.
[28] Zhang L. W., Lei Z. X., Liew K. M., 2015, An element-free IMLS-Ritz framework for buckling analysis of FG – CNT reinforced composite thick plates resting on Winkler foundations, Engineering Analysis with Boundary Elements 58: 7-17.
[29] Zhang L. W., Song Z. G., Liew K. M., 2015, Nonlinear bending analysis of FG-CNT reinforced composite thick plates resting on Pasternak foundations using the element-free IMLS-Ritz method, Composite Structures 128: 165-175.
[30] Moradi-Dastjerdi R., Payganeh G., Rajabizadeh Mirakabad S., . Jafari Mofrad Taheri M., 2016, Static and free vibration analyses of functionally graded nano- composite plates reinforced by wavy carbon nanotubes resting on a pasternak elastic foundation, Mechanics of Advanced Materials and Structures 3: 123-135.
[31] Moradi-Dastjerdi R., Momeni-Khabisi H., 2016, Dynamic analysis of functionally graded nanocomposite plates reinforced by wavy carbon nanotube, Steel and Composite Structures 22(2): 277-299.
[32] Shi D., Feng X., Huang Y. Y., Hwang K. C., Gao H., 2004, The effect of nanotube waviness and agglomeration on the elastic property of carbon nanotube- reinforced composites, Journal of Engineering Materials and Technology 126: 250-257.
[33] Eshelby J. D., 1957, The determination of the elastic field of an ellipsoidal inclusion, and related problems, Proceedings of the Royal Society of London Series A 241: 376-396.
[34] Mura T., 1982, Micromechanics of Defects in Solids, The Hague Martinus Nijhoff Pub.
[35] Prylutskyy Y., Durov S., Ogloblya O., Buzaneva E., Scharff P., 2000, Molecular dynamics simulation of mechanical, vibrational and electronic properties of carbon nanotubes, Computational Materials Science 17: 352-355.
[36] Reddy J. N., 2004, Mechanics of Laminated Composite Plates and Shells: Theory and Analysis, CRC Press.
[37] Efraim E., Eisenberger M. Ã., 2007, Exact vibration analysis of variable thickness thick annular isotropic and FGM plates, Journal of Sound and Vibration 299: 720-738.
[38] Lancaster P., Salkauskas K., 1981, Surface generated by moving least squares methods, Mathematics of Computation 37: 141-158.
[39] Shen H., 2011, Postbuckling of nanotube-reinforced composite cylindrical shells in thermal environments , Part I : Axially-loaded shells, Composite Structures 93(8): 2096-2108.
[40] Ferreira A. J. M., Castro L. M. S., Bertoluzza S., 2009, A high order collocation method for the static and vibration analysis of composite plates using a first-order theory, Composite Structures 89(3): 424-432.
[41] Akhras G., Cheung M., Li W., 1994, Finite strip analysis for anisotropic laminated composite plates using higher-order deformation theory, Composite Structures 52: 471-477.
[42] Zhu P., Lei Z. X., Liew K. M., 2012, Static and free vibration analyses of carbon nanotube-reinforced composite plates using finite element method with first order shear deformation plate theory, Composite Structures 94(4): 1450-1460.
