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      KCI등재 SCIE SCOPUS

      Assessment of non-polynomial shear deformation theories for thermo-mechanical analysis of laminated composite plates

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      https://www.riss.kr/link?id=A105397041

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      다국어 초록 (Multilingual Abstract)

      In the present work, the recently developed non-polynomial shear deformation theories are assessed for thermo-mechanical response characteristics of laminated composite plates. The applicability and accuracy of these theories for static, buckling and free vibration responses were ascertained in the recent past by several authors. However, the assessment of these theories for thermo-mechanical analysis of the laminated composite structures is still to be ascertained. The response characteristics are investigated in linear and non-linear thermal gradient and also in the presence and absence of mechanical transverse loads. The laminated composite plates are modelled using recently developed six shear deformation theories involving different shear strain functions. The principle of virtual work is used to develop the governing system of equations. The Navier type closed form solution is adopted to yield the exact solution of the developed equation for simply supported cross ply laminated plates. The thermo-mechanical response characteristics due to these six different theories are obtained and compared with the existing results.
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      In the present work, the recently developed non-polynomial shear deformation theories are assessed for thermo-mechanical response characteristics of laminated composite plates. The applicability and accuracy of these theories for static, buckling and ...

      In the present work, the recently developed non-polynomial shear deformation theories are assessed for thermo-mechanical response characteristics of laminated composite plates. The applicability and accuracy of these theories for static, buckling and free vibration responses were ascertained in the recent past by several authors. However, the assessment of these theories for thermo-mechanical analysis of the laminated composite structures is still to be ascertained. The response characteristics are investigated in linear and non-linear thermal gradient and also in the presence and absence of mechanical transverse loads. The laminated composite plates are modelled using recently developed six shear deformation theories involving different shear strain functions. The principle of virtual work is used to develop the governing system of equations. The Navier type closed form solution is adopted to yield the exact solution of the developed equation for simply supported cross ply laminated plates. The thermo-mechanical response characteristics due to these six different theories are obtained and compared with the existing results.

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      참고문헌 (Reference)

      1 Akavci, S., "Two new hyperbolic shear displacement models for orthotropic laminated composite plates" 46 (46): 215-226, 2010

      2 F. Chattibi, "Thermomechanical effects on the bending of antisymmetric cross-ply composite plates using a four variable sinusoidal theory" 국제구조공학회 19 (19): 93-110, 2015

      3 Bhaskar, K., "Thermoelastic solution for orthotropic and anisotropic composite laminates" 27 (27): 415-420, 1996

      4 Wu, C.H., "Thermoelastic analysis of laminated plates. 2: antisymmetric cross-ply and angle-ply laminates" 3 (3): 65-78, 1980

      5 Cetkovic, M., "Thermo-mechanical bending of laminated composite and sandwich plates using layerwise displacement model" 125 : 388-399, 2015

      6 Ali Bouchafa, "Thermal stresses and deflections of functionally graded sandwich plates using a new refined hyperbolic shear deformation theory" 국제구조공학회 18 (18): 1493-1515, 2015

      7 Khdeir, A.A., "Thermal stresses and deflections of crossply laminated plates using refined plate theories" 14 (14): 419-438, 1991

      8 Carrera, E., "Theories and finite elements for multilayered plates and shells: a unified compact formulation with numerical assessment and benchmarking" 10 (10): 215-296, 2003

      9 Reddy, J.N., "Theories and computational models for composite laminates" 47 (47): 147-169, 1994

      10 Reissner, E., "The effect of transverse shear deformation on the bending of elastic plates" ASME 12 (12): 69-77, 1945

      1 Akavci, S., "Two new hyperbolic shear displacement models for orthotropic laminated composite plates" 46 (46): 215-226, 2010

      2 F. Chattibi, "Thermomechanical effects on the bending of antisymmetric cross-ply composite plates using a four variable sinusoidal theory" 국제구조공학회 19 (19): 93-110, 2015

      3 Bhaskar, K., "Thermoelastic solution for orthotropic and anisotropic composite laminates" 27 (27): 415-420, 1996

      4 Wu, C.H., "Thermoelastic analysis of laminated plates. 2: antisymmetric cross-ply and angle-ply laminates" 3 (3): 65-78, 1980

      5 Cetkovic, M., "Thermo-mechanical bending of laminated composite and sandwich plates using layerwise displacement model" 125 : 388-399, 2015

      6 Ali Bouchafa, "Thermal stresses and deflections of functionally graded sandwich plates using a new refined hyperbolic shear deformation theory" 국제구조공학회 18 (18): 1493-1515, 2015

      7 Khdeir, A.A., "Thermal stresses and deflections of crossply laminated plates using refined plate theories" 14 (14): 419-438, 1991

      8 Carrera, E., "Theories and finite elements for multilayered plates and shells: a unified compact formulation with numerical assessment and benchmarking" 10 (10): 215-296, 2003

      9 Reddy, J.N., "Theories and computational models for composite laminates" 47 (47): 147-169, 1994

      10 Reissner, E., "The effect of transverse shear deformation on the bending of elastic plates" ASME 12 (12): 69-77, 1945

      11 Khandan, R., "The development of laminated composite plate theories: a review" 47 (47): 5901-5910, 2012

      12 Singh, B.N., "Stochastic methods for the analysis of uncertain composites" 93 (93): 603-620, 2013

      13 Talha, M,., "Static response and free vibration analysis of FGM plates using higher order shear deformation theory" 34 (34): 3991-4011, 2010

      14 Mantari, J.L., "Static and dynamic analysis of laminated composite and sandwich plates and shells by using a new higher-order shear deformation theory" 94 (94): 37-49, 2011

      15 Zhang, Y.X., "Recent developments in finite element analysis for laminated composite plates" 88 (88): 147-157, 2009

      16 Grover, N., "New nonpolynomial shear-deformation theories for structural behavior of laminated composite and sandwich plates" 51 (51): 1861-1871, 2013

      17 Fares, M.E., "Mixed variational formula for the thermal bending of laminated plates" 22 (22): 347-365, 1999

      18 Reddy, J.N., "Mechanics of Laminated Composite Plate: Theory and Analysis" CRC Press 2004

      19 Karama, M., "Mechanical behaviour of laminated composite beam by the new multilayered laminated composite structures model with transverse shear stress continuity" 40 (40): 1525-1546, 2003

      20 Ramos, I.A., "Laminated composite plates subject tothermal load using trigonometric theory based on Carrera Unified Formulation" 143 : 324-335, 2016

      21 Thai, C.H., "Isogeometric analysis of laminated composite and sandwich plates using a new inverse trigonometric shear deformation theory" 43 : 89-108, 2015

      22 Mindlin, R.D., "Influence of rotary inertia and shear on flexural motions of isotropic, elastic plates" ASME 18 (18): 31-38, 1951

      23 Panduro, R.M.R., "Hygro-thermo-mechanical behavior of classical composites" 137 : 224-240, 2017

      24 Carrera, E., "Historical review of zig-zag theories for multi-layered plates and shells" 56 (56): 287-308, 2003

      25 Shimpi, R.P., "Free vibrations of plate using two variable refined plate theory" 296 (296): 979-999, 2006

      26 Mantari, J.L., "Free vibration of single and sandwich laminated composite plates by using a simplified FSDT" 22 (22): 713-732, 2015

      27 Carrera, E., "Evaluation of layerwise mixed theories for laminated plates analysis" 36 (36): 830-839, 1998

      28 Reddy, J.N., "Effects of shear deformation and anisotropy on the thermal bending of layered composite plates" 3 (3): 475-493, 1980

      29 Carrera, E., "Developments, ideas, and evaluations based upon Reissner's mixed variational theorem in the modeling of multilayered plates and shells" 54 (54): 301-329, 2001

      30 Khare, R.K., "Closed-form thermo-mechanical solutions of higher-order theories of cross-ply laminated shallow shells" 59 (59): 313-340, 2003

      31 Maiti, D.K., "Bending, free vibration and impact response of thick laminated composite plates" 49 (49): 115-129, 1994

      32 Kant, T., "Analytical solution for the static analysis of laminated composite and sandwich plates based on a higher order refined theory" 56 (56): 329-344, 2002

      33 Zenkour, A.M., "Analytical solution for bending of cross-ply laminated plates under thermo-mechanical loading" 65 (65): 367-379, 2004

      34 Mechab, B., "Analysis of thick orthotropic laminated composite plates based on higher order shear deformation theory by the new function under thermo-mechanical loading" 43 (43): 1453-1458, 2012

      35 Ferreira, A.J.M., "Analysis of composite plates by trigonometric shear deformation theory and multiquadrics" 83 (83): 2225-2237, 2005

      36 Touratier, M., "An efficient standard plate theory" 29 (29): 901-916, 1991

      37 Soldatos, K.P., "A unified formulation of laminated composite, shear deformable, five-degrees-of-freedom cylindrical shell theories" 25 : 165-171, 1993

      38 Reddy, J.N., "A simple higher-order theory for laminated composite plates" 51 (51): 745-752, 1984

      39 Zenkour, A.M., "A simple four-unknown refined theory for bending analysis of functionally graded plates" 37 (37): 9041-9051, 2013

      40 Reddy, J.N., "A review of refined theories of laminated composite plates" 22 (22): 3-17, 1990

      41 Ghugal, Y.M., "A review of refined shear deformation theories of isotropic and anisotropic laminated plates" 21 (21): 775-813, 2002

      42 Tounsi, A., "A refined trigonometric shear deformation theory for thermoelastic bending of functionally graded sandwich plates" 24 (24): 209-220, 2013

      43 Slimane Merdaci, "A novel four variable refined plate theory for laminated composite plates" 국제구조공학회 22 (22): 713-732, 2016

      44 Sahoo, R., "A new trigonometric zigzag theory for buckling and free vibration analysis of laminated composite and sandwich plates" 117 : 316-332, 2014

      45 Mantari, J.L., "A new trigonometric shear deformation theory for isotropic, laminated composite and sandwich plates" 49 (49): 43-53, 2012

      46 Thai, H.T., "A new sinusoidal shear deformation theory for bending, buckling, and vibration of functionally graded plates" 37 (37): 3269-3281, 2013

      47 Aydogdu, M., "A new shear deformation theory for laminated composite plates" 89 (89): 94-101, 2009

      48 Joshan, Y.S., "A new non-polynomial four variable shear deformation theory in axiomatic formulation for hygro-thermo-mechanical analysis of laminated composite plates" 182 : 685-693, 2017

      49 Pai, P.F., "A new look at shear correction factors and warping functions of anisotropic laminates" 32 (32): 2295-2313, 1995

      50 Sahoo, R., "A new inverse hyperbolic zigzag theory for the static analysis of laminated composite and sandwich plates" 105 : 385-397, 2013

      51 Grover, N., "A new inverse hyperbolic shear deformation theory for static and buckling analysis of laminated composite and sandwich plates" 95 : 667-675, 2013

      52 Meiche, N.E., "A new hyperbolic shear deformation theory for buckling and vibration of functionally graded sandwich plate" 53 (53): 237-247, 2011

      53 Daouadji, T.H., "A new higher order shear deformation model for static behavior of functionally graded plates" 5 (5): 351-364, 2013

      54 Kant, T., "A higher-order facet quadrilateral composite shell element" 40 (40): 4477-4499, 1997

      55 Shimpi, R.P., "A higher order displacement model for the plate analysis" 22 (22): 1667-1688, 2003

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