Nonlinear dynamic response of ES-FGM plate under blast load
Keywords:functionally graded materials, nonlinear dynamic response, Reddy's third order shear deformation plate theory (TSDT), blast load
AbstractThe paper studies nonlinear dynamic response of an eccentrically stiffened FGM (ES-FGM) plates resting on the elastic foundations subjected to blast and thermal loads with temperature dependent material properties using the Reddy's higher order shear deformation plate theory, stress function, the Galerkin and the fourth order Runge-Kutta methods. The plates are reinforced by outside stiffeners and both stiffeners and plate are deformed under temperature. The effects of material and geometrical properties, temperature-dependent material properties, elastic foundations and stiffeners on the nonlinear dynamic response of the ES FGM plate under blast and thermal loads in thermal environments are studied and discussed.
N. D. Duc, P. H. Cong, and V. D. Quang. Nonlinear dynamic and vibration analysis of piezoelectric eccentrically stiffened FGM plates in thermal environment. International Journal of Mechanical Sciences, 115, (2016), pp. 711–722. doi:10.1016/j.ijmecsci.2016.07.010.
D. V. Dung and N. T. Nga. Nonlinear analysis of stability for imperfect eccentrically stiffened FGM plates under mechanical and thermal loads based on FSDT. Part 1: Governing equations establishment. Vietnam Journal of Mechanics, 37, (3), (2015), pp. 187–204. doi:10.15625/0866-7136/37/3/5884.
N. D. Duc. Nonlinear static and dynamic stability of functionally graded plates and shells. Vietnam National University Press, Hanoi, (2014).
N. D. Duc, P. H. Cong, N. D. Tuan, P. Tran, V. M. Anh, and V. D. Quang. Nonlinear vibration and dynamic response of imperfect eccentrically stiffened shear deformable sandwich plate with functionally graded material in thermal environment. Journal of Sandwich Structures & Materials, 18, (4), (2016), pp. 445–473. doi:10.1177/1099636215602142.
P. H. Cong, V. M. Anh, and N. D. Duc. Nonlinear dynamic response of eccentrically stiffened FGM plate using Reddys TSDT in thermal environment. Journal of Thermal Stresses, 40, (6), (2017), pp. 704–732. doi:10.1080/01495739.2016.1261614.
F. Alijani and M. Amabili. Non-linear dynamic instability of functionally graded plates in thermal environments. International Journal of Non-Linear Mechanics, 50, (2013), pp. 109–126. doi:10.1016/j.ijnonlinmec.2012.10.009.
J. N. Reddy and C. D. Chin. Thermomechanical analysis of functionally graded cylinders and plates. Journal of Thermal Stresses, 21, (6), (1998), pp. 593–626. doi:10.1080/01495739808956165.
V. Ungbhakorn and N. Wattanasakulpong. Thermo-elastic vibration analysis of third-order shear deformable functionally graded plates with distributed patch mass under thermal environment. Applied Acoustics, 74, (9), (2013), pp. 1045–1059. doi:10.1016/j.apacoust.2013.03.010.
P. T. Thang, N. D. Duc, and T. Nguyen-Thoi. Thermomechanical buckling and post-buckling of cylindrical shell with functionally graded coatings and reinforced by stringers. Aerospace Science and Technology, 66, (2017), pp. 392–401. doi:10.1016/j.ast.2017.03.023.
D. V. Dung and V. H. Nam. Nonlinear dynamic analysis of eccentrically stiffened functionally graded circular cylindrical thin shells under external pressure and surrounded by an elastic medium. European Journal of Mechanics-A/Solids, 46, (2014), pp. 42–53. doi:10.1016/j.euromechsol.2014.02.008.
N. D. Duc, V. D. Quang, and V. T. T. Anh. The nonlinear dynamic and vibration of the S-FGM shallow spherical shells resting on an elastic foundations including temperature effects. International Journal of Mechanical Sciences, 123, (2017), pp. 54–63. doi:10.1016/j.ijmecsci.2017.01.043.
D. H. Bich, D. V. Dung, and V. H. Nam. Nonlinear dynamic analysis of eccentrically stiffened imperfect functionally graded doubly curved thin shallow shells. Composite Structures, 96, (2013), pp. 384–395. doi:10.1016/j.compstruct.2012.10.009.
N. D. Duc. Nonlinear dynamic response of imperfect eccentrically stiffened FGM double curved shallow shells on elastic foundation. Composite Structures, 99, (2013), pp. 88–96. doi:10.1016/j.compstruct.2012.11.017.
D. H. Bich, N. D. Duc, and T. Q. Quan. Nonlinear vibration of imperfect eccentrically stiffened functionally graded double curved shallow shells resting on elastic foundation using the first order shear deformation theory. International Journal of Mechanical Sciences, 80, (2014), pp. 16–28. doi:10.1016/j.ijmecsci.2013.12.009.
D. T. Hau, N. T. M. Hanh, and N. T. Trung. A cell-based smoothed discrete shear gap method (CS-FEM-DSG3) for dynamic response of laminated composite plate subjected to blast loading. Vietnam Journal of Mechanics, 37, (2), (2015), pp. 81–90. doi:10.15625/0866-7136/37/2/5019.
N. D. Duc and P. H. Cong. Nonlinear dynamic response and vibration of sandwich composite plates with negative Poissons ratio in auxetic honeycombs. Journal of Sandwich Structures & Materials, (2016). doi:10.1177/1099636216674729.
N. Lam, P. Mendis, and T. Ngo. Response spectrum solutions for blast loading. Electronic Journal of Structural Engineering, 4, (4), (2004), pp. 28–44.
N. D. Duc, N. D. Tuan, P. Tran, and T. Q. Quan. Nonlinear dynamic response and vibration of imperfect shear deformable functionally graded plates subjected to blast and thermal loads. Mechanics of Advanced Materials and Structures, 24, (4), (2017), pp. 318–329. doi:10.1080/15376494.2016.1142024.
N. T. Duong and N. D. Duc. Evaluation of elastic properties and thermal expansion coefficient of composites reinforced by randomly distributed spherical particles with negative Poissons ratio. Composite Structures, 153, (2016), pp. 569–577. doi:10.1016/j.compstruct.2016.06.069.
J. N. Reddy. Mechanics of laminated composite plates and shells: Theory and analysis. CRC Press, (2004).