Higher-Order Stability Analysis of Imperfect Laminated Piezo-Composite Plates on Elastic Foundations Under Electro-Thermo-Mechanical Loads
الموضوعات :
1 - Faculty of New Sciences and Technologies, University of Tehran, Tehran, Iran
2 - Faculty of New Sciences and Technologies, University of Tehran, Tehran, Iran
الکلمات المفتاحية: Sandwich, Galerkin, HSDT, Elastic foundation, Imperfection,
ملخص المقالة :
This article provides a fully analytical approach for nonlinear equilibrium path of rectangular sandwich plates. The core of structure is made of symmetric cross-ply laminated composite and the outer surfaces are piezoelectric actuators which perfectly bonded to inner core. The structure is subjected to electro-thermo-mechanical loads simultaneously. One side of plate is rested on Pasternak type elastic foundation. The equilibrium equations of plate are derived based on the higher-order shear deformation theory of Reddy taking into account initial geometrical imperfection, nonlinear strain-displacement relations of von-Karman, temperature dependent properties, and different types of boundary conditions. Some numerical examples are presented to verify the accuracy of the proposed formulation. The effects of various parameters such as voltage on actuators, elastic foundation, imperfection, and pre-load condition on the buckling and postbuckling behaviors are studied. As an important finding of current research, there may be exists bifurcation point for imperfect plates by applying voltage on actuators.
[1] Raju K.K., Rao G.V., 1988, Thermal post-buckling of a square plate resting on an elastic foundation by finite element method, Computers & Structures 28: 195-199.
[2] Gunda J.B., 2013, Thermal post-buckling analysis of square plates resting on elastic foundation: A simple closed-form solutions, Applied Mathematical Modelling 37: 5536-5548.
[3] De Holanda A., Gonçalves P., 2003, Postbuckling analysis of plates resting on a tensionless elastic foundation, Journal of Engineering Mechanics 129: 438-448.
[4] Shen H.-S., 2000, Postbuckling of shear deformable laminated plates under biaxial compression and lateral pressure and resting on elastic foundations, International Journal of Mechanical Sciences 42: 1171-1195.
[5] Shen H.-S., 2000, Thermomechanical postbuckling of imperfect shear deformable laminated plates on elastic foundations, Computer Methods in Applied Mechanics 189: 761-784.
[6] Shen H.-S., 2000, Postbuckling analysis of shear-deformable composite laminated plates on two-parameter elastic foundations, Mechanics of Composite Materials and Structures 7: 249-268.
[7] Shen H.-S., Li Q., 2004, Postbuckling of shear deformable laminated plates resting on a tensionless elastic foundation subjected to mechanical or thermal loading, International Journal of Solids and Structures 41: 4769-4785.
[8] Yang J., Zhang L., 2000, Nonlinear analysis of imperfect laminated thin plates under transverse and in-plane loads and resting on an elastic foundation by a semi-analytical approach, Thin-Walled Structures 38: 195-227.
[9] Singh B., Lal A., Kumar R., 2009, Post buckling response of laminated composite plate on elastic foundation with random system properties, Communications in Nonlinear Science and Numerical Simulation 14: 284-300.
[10] Singh B., Lal A., 2010, Stochastic analysis of laminated composite plates on elastic foundation: The cases of post-buckling behavior and nonlinear free vibration, International Journal of Pressure Vessels and Piping 87: 559-574.
[11] Pandey R., Shukla K., Jain A., 2009, Thermoelastic stability analysis of laminated composite plates: An analytical approach, Communications in Nonlinear Science and Numerical Simulation 14: 1679-1699.
[12] Librescu L., Stein M., 1991, A geometrically nonlinear theory of transversely isotropic laminated composite plates and its use in the post-buckling analysis, Thin-Walled Structures 11: 177-201.
[13] Noor A.K., Peters J.M.,1992, Postbuckling of multilayered composite plates subjected to combined axial and thermal loads, Finite Elements in Analysis and Design 11: 91-104.
[14] Sundaresan P., Singh G., Rao G.V., 1996, Buckling and post-buckling analysis of moderately thick laminated rectangular plates, Computers & Structures 61: 79-86.
[15] Argyris J., Tenek L.,1995, Postbuckling of composite laminates under compressive load and temperature, Computer Methods in Applied Mechanics 128: 49-80.
[16] Han S.-C., Lee S.-Y., Rus G.,2006, Postbuckling analysis of laminated composite plates subjected to the combination of in-plane shear, compression and lateral loading, International Journal of Solids and Structures 43: 5713-5735.
[17] Oh I.-K., Han J.-H., Lee I., 2000, Postbuckling and vibration characteristics of piezolaminated composite plate subject to thermo-piezoelectric loads, Journal of Sound and Vibration 233: 19-40.
[18] Shen H.-S.,2001, Thermal postbuckling of shear-deformable laminated plates with piezoelectric actuators, Composites Science and Technology 61: 1931-1943.
[19] Shen H.-S., 2001, Postbuckling of shear deformable laminated plates with piezoelectric actuators under complex loading conditions, International Journal of Solids and Structures 38: 7703-7721.
[20] Varelis D., Saravanos D.A., 2004, Coupled buckling and postbuckling analysis of active laminated piezoelectric composite plates, International Journal of Solids and Structures 41: 1519-1538.
[21] Bohlooly M., Mirzavand B., 2015, Closed form solutions for buckling and postbuckling analysis of imperfect laminated composite plates with piezoelectric actuators, Composites Part B: Engineering 72: 21-29.
[22] Abdollahian M., Arani A.G., Barzoki A.M., Kolahchi R., Loghman A., 2013, Non-local wave propagation in embedded armchair twbnnts conveying viscous fluid using dqm, Physica B: Condensed Matter 418: 1-15.
[23] Arani A.G., Abdollahian M., Kolahchi R., Rahmati A., 2013, Electro-thermo-torsional buckling of an embedded armchair dwbnnt using nonlocal shear deformable shell model, Composites Part B: Engineering 51: 291-299.
[24] Arani A.G., Abdollahian M., Jalaei M., 2015, Vibration of bioliquid-filled microtubules embedded in cytoplasm including surface effects using modified couple stress theory, Journal of Theoretical Biology 367: 29-38.
[25] Arani A.G., Abdollahian M., Kolahchi R., 2015, Nonlinear vibration of embedded smart composite microtube conveying fluid based on modified couple stress theory, Polymer Composites 36: 1314-1324.
[26] Bohlooly M., Mirzavand B., 2018, Postbuckling and deflection response of imperfect piezo-composite plates resting on elastic foundations under in-plane and lateral compression and electro-thermal loading, Mechanics of Advanced Materials Structures 25: 192-201.
[27] Mirzavand B., Bohlooly M., 2015, Thermal buckling of piezolaminated plates subjected to different loading conditions, Journal of Thermal Stresses 38: 1138-1162.
[28] Kiani Y., Eslami M., 2012, Thermal buckling and post-buckling response of imperfect temperature-dependent sandwich fgm plates resting on elastic foundation, Archive of Applied Mechanics 82: 891-905.
[29] Duc N.D., Van Tung H., 2011, Mechanical and thermal postbuckling of higher order shear deformable functionally graded plates on elastic foundations, Composite Structures 93: 2874-2881.
[30] Malekzadeh K., Khalili S., Abbaspour P., 2010, Vibration of non-ideal simply supported laminated plate on an elastic foundation subjected to in-plane stresses, Composite Structures 92: 1478-1484.
[31] Joubaneh E.F., Mojahedin A., Khorshidvand A., Jabbari M., 2014, Thermal buckling analysis of porous circular plate with piezoelectric sensor-actuator layers under uniform thermal load, Journal of Sandwich Structures & Materials 17: 3-25.
[32] Reddy J.N., 2004, Mechanics of Laminated Composite Plates and Shells: Theory and Analysis, CRC press.
[33] Duc N.D., Cong P.H., 2013, Nonlinear postbuckling of symmetric s-fgm plates resting on elastic foundations using higher order shear deformation plate theory in thermal environments, Composite Structures 100: 566-574.
[34] Duc N.D., Cong P.H., 2014, Nonlinear postbuckling of an eccentrically stiffened thin fgm plate resting on elastic foundations in thermal environments, Thin-Walled Structures 75: 103-112.
[35] Van Tung H., Duc N.D., 2010, Nonlinear analysis of stability for functionally graded plates under mechanical and thermal loads, Composite Structures 92: 1184-1191.
[36] Wang Z.-X., Shen H.-S., 2011, Nonlinear analysis of sandwich plates with fgm face sheets resting on elastic foundations, Composite Structures 93: 2521-2532.
[37] Ninh D.G., Bich D.H., 2016, Nonlinear torsional buckling and post-buckling of eccentrically stiffened ceramic functionally graded material metal layer cylindrical shell surrounded by elastic foundation subjected to thermo-mechanical load, Journal of Sandwich Structures & Materials 18: 712-738.
[38] Bohlooly M., Mirzavand B., 2017, Thermomechanical buckling of hybrid cross-ply laminated rectangular plates, Advanced Composite Materials 26: 407-426.
[39] Xiang Y., Kitipornchai S., Liew K., 1996, Buckling and vibration of thick laminates on pasternak foundations, Journal of Engineering Mechanics 122: 54-63.
[40] Shen H.-S., 2000, Nonlinear analysis of simply supported reissner–mindlin plates subjected to lateral pressure and thermal loading and resting on two-parameter elastic foundations, Engineering Structures 22: 1481-1493.
[41] Boley B.A., Weiner J.H., 2012, Theory of Thermal Stresses, Courier Dover Publications.
[42] Chandrashekhara K., 1992, Thermal buckling of laminated plates using a shear flexible finite element, Finite Elements in Analysis and Design 12: 51-61.
[43] Ganapathi M., Touratier M., 1997, A study on thermal postbuckling behaviour of laminated composite plates using a shear-flexible finite element, Finite Elements in Analysis and Design 28: 115-135.
[44] Shen H.-S., 1997, Thermal post-buckling analysis of imperfect shear-deformable plates on two-parameter elastic foundations, Composite Structures 63: 1187-1193.
[45] Mirzavand B., Eslami M., Reddy J., 2013, Dynamic thermal postbuckling analysis of shear deformable piezoelectric-fgm cylindrical shells, Journal of Thermal Stresses 36: 189-206.