{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,19]],"date-time":"2026-03-19T05:56:26Z","timestamp":1773899786725,"version":"3.50.1"},"reference-count":64,"publisher":"Springer Science and Business Media LLC","issue":"3","license":[{"start":{"date-parts":[[2014,7,25]],"date-time":"2014-07-25T00:00:00Z","timestamp":1406246400000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Acta Mech"],"published-print":{"date-parts":[[2015,3]]},"DOI":"10.1007\/s00707-014-1192-3","type":"journal-article","created":{"date-parts":[[2014,7,24]],"date-time":"2014-07-24T22:11:28Z","timestamp":1406239888000},"page":"625-642","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":23,"title":["A quasi-3D tangential shear deformation theory with four unknowns for functionally graded plates"],"prefix":"10.1007","volume":"226","author":[{"given":"J. L.","family":"Mantari","sequence":"first","affiliation":[]},{"given":"C. Guedes","family":"Soares","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2014,7,25]]},"reference":[{"key":"1192_CR1","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/0025-5416(72)90059-6","volume":"10","author":"M.B. Bever","year":"1972","unstructured":"Bever M.B., Duwez P.E.: Gradients in composite materials. Mater. Sci. Eng. 10, 1\u20138 (1972)","journal-title":"Mater. Sci. Eng."},{"key":"1192_CR2","first-page":"3","volume":"34","author":"M. Koizumi","year":"1993","unstructured":"Koizumi M.: The concept of FGM. Ceramic transactions. Funct. Grad. Mater. 34, 3\u201310 (1993)","journal-title":"Funct. Grad. Mater."},{"key":"1192_CR3","doi-asserted-by":"crossref","first-page":"833","DOI":"10.1016\/j.compstruct.2012.09.001","volume":"96","author":"D.K. Jha","year":"2013","unstructured":"Jha D.K., Kant T., Singh R.K.: A critical review of recent research on functionally graded plates. Compos. Struct. 96, 833\u2013849 (2013)","journal-title":"Compos. Struct."},{"key":"1192_CR4","doi-asserted-by":"crossref","first-page":"195","DOI":"10.1115\/1.2777164","volume":"60","author":"V. Birman","year":"2007","unstructured":"Birman V., Byrd L.W.: Modeling and analysis of functionally graded materials and structures. ASME Appl. Mech. Rev. 60, 195\u2013216 (2007)","journal-title":"ASME Appl. Mech. Rev."},{"key":"1192_CR5","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/j.compstruct.2008.07.013","volume":"87","author":"L. Demasi","year":"2009","unstructured":"Demasi L.: \u221e 6 Mixed plate theories based on the generalized unified formulation. Part I: governing equations. Compos. Struct. 87, 1\u201311 (2009)","journal-title":"Compos. Struct."},{"key":"1192_CR6","doi-asserted-by":"crossref","first-page":"12","DOI":"10.1016\/j.compstruct.2008.07.012","volume":"87","author":"L. Demasi","year":"2009","unstructured":"Demasi L.: \u221e 6 Mixed plate theories based on the generalized unified formulation. Part II: layerwise theories. Compos. Struct. 87, 12\u201322 (2009)","journal-title":"Compos. Struct."},{"key":"1192_CR7","doi-asserted-by":"crossref","first-page":"183","DOI":"10.1016\/S0263-8223(00)00099-4","volume":"50","author":"E. Carrera","year":"2000","unstructured":"Carrera E.: An assessment of mixed and classical theories on global and local response of multilayered orthotropic plates. Compos. Struct. 50, 183\u2013198 (2000)","journal-title":"Compos. Struct."},{"key":"1192_CR8","doi-asserted-by":"crossref","first-page":"301","DOI":"10.1115\/1.1385512","volume":"54","author":"E. Carrera","year":"2001","unstructured":"Carrera E.: Developments, ideas, and evaluations based upon Reissner\u2019s mixed variational theorem in the modeling of multilayered plates and shells. Appl. Mech. Rev. 54, 301\u2013329 (2001)","journal-title":"Appl. Mech. Rev."},{"issue":"2","key":"1192_CR9","doi-asserted-by":"crossref","first-page":"87","DOI":"10.1007\/BF02736649","volume":"9","author":"E. Carrera","year":"2002","unstructured":"Carrera E.: Theories and finite elements for multilayered, anisotropic, composite plates and shells. Arch. Comput. Methods Eng. 9(2), 87\u2013140 (2002)","journal-title":"Arch. Comput. Methods Eng."},{"key":"1192_CR10","doi-asserted-by":"crossref","first-page":"1215","DOI":"10.1016\/j.compstruc.2006.01.036","volume":"84","author":"L. Demasi","year":"2006","unstructured":"Demasi L.: Treatment of stress variables in advanced multilayered plate elements based upon Reissners\u2019s mixed variational theorem. Compos. Struct. 84, 1215\u20131221 (2006)","journal-title":"Compos. Struct."},{"key":"1192_CR11","doi-asserted-by":"crossref","first-page":"183","DOI":"10.1016\/j.compstruct.2008.07.011","volume":"87","author":"L. Demasi","year":"2009","unstructured":"Demasi L.: \u221e 6 Mixed plate theories based on the generalized unified formulation. Part III: advanced mixed high order shear deformation theories. Compos. Struct. 87, 183\u2013194 (2009)","journal-title":"Compos. Struct."},{"key":"1192_CR12","doi-asserted-by":"crossref","first-page":"195","DOI":"10.1016\/j.compstruct.2008.07.010","volume":"87","author":"L. Demasi","year":"2009","unstructured":"Demasi L.: \u221e 6 Mixed plate theories based on the generalized unified formulation. Part IV: zig\u2013zag theories. Compos. Struct. 87, 195\u2013205 (2009)","journal-title":"Compos. Struct."},{"key":"1192_CR13","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/j.compstruct.2008.07.009","volume":"88","author":"L. Demasi","year":"2009","unstructured":"Demasi L.: \u221e 6 Mixed plate theories based on the generalized unified formulation. Part V: results. Compos. Struct. 88, 1\u201316 (2009)","journal-title":"Compos. Struct."},{"key":"1192_CR14","doi-asserted-by":"crossref","first-page":"215","DOI":"10.1007\/BF02736224","volume":"10","author":"E. Carrera","year":"2003","unstructured":"Carrera E.: Theories and finite elements for multilayered plates and shells: a unified compact formulation with numerical assessment and benchmarks. Arch. Comput. Methods Eng. 10, 215\u2013296 (2003)","journal-title":"Arch. Comput. Methods Eng."},{"key":"1192_CR15","doi-asserted-by":"crossref","first-page":"663","DOI":"10.1002\/(SICI)1097-0207(20000110\/30)47:1\/3<663::AID-NME787>3.0.CO;2-8","volume":"47","author":"J.N. Reddy","year":"2000","unstructured":"Reddy J.N.: Analysis of functionally graded plates. Int. J. Numer. Methods Eng. 47, 663\u2013684 (2000)","journal-title":"Int. J. Numer. Methods Eng."},{"key":"1192_CR16","first-page":"143","volume":"52","author":"Z.Q Cheng","year":"2000","unstructured":"Cheng Z.Q, Batra R.C.: Deflection relationships between the homogeneous Kirchhoff plate theory and different functionally graded plate theories. Arch. Mech. 52, 143\u2013158 (2000)","journal-title":"Arch. Mech."},{"key":"1192_CR17","doi-asserted-by":"crossref","first-page":"853","DOI":"10.1016\/j.euromechsol.2004.04.002","volume":"23","author":"M. Kashtalyan","year":"2004","unstructured":"Kashtalyan M.: Three-dimensional elasticity solution for bending of functionally graded plates. Eur. J. Mech. A Solid 23, 853\u2013864 (2004)","journal-title":"Eur. J. Mech. A Solid"},{"key":"1192_CR18","doi-asserted-by":"crossref","first-page":"449","DOI":"10.1016\/j.compstruct.2004.08.003","volume":"69","author":"A.J.M. Ferreira","year":"2005","unstructured":"Ferreira A.J.M., Batra R.C., Roque C.M.C., Qian L.F., Martins P.A.L.S.: Static analysis of functionally graded plates using third-order shear deformation theory. Compos. Struct. 69, 449\u2013457 (2005)","journal-title":"Compos. Struct."},{"key":"1192_CR19","doi-asserted-by":"crossref","first-page":"21","DOI":"10.1007\/s00707-005-0270-y","volume":"180","author":"I. Elishakoff","year":"2005","unstructured":"Elishakoff I.: Three-dimensional analysis of an all-round clamped plate made of functionally graded materials. Acta. Mech. 180, 21\u201336 (2005)","journal-title":"Acta. Mech."},{"key":"1192_CR20","doi-asserted-by":"crossref","first-page":"67","DOI":"10.1016\/j.apm.2005.03.009","volume":"30","author":"A.M. Zenkour","year":"2006","unstructured":"Zenkour A.M.: Generalized shear deformation theory for bending analysis of functionally graded plates. Appl. Math. Model. 30, 67\u201384 (2006)","journal-title":"Appl. Math. Model."},{"key":"1192_CR21","doi-asserted-by":"crossref","first-page":"10","DOI":"10.1016\/j.compositesb.2005.05.009","volume":"37","author":"F. Ramirez","year":"2006","unstructured":"Ramirez F., Heyliger P.R., Pan E.: Static analysis of functionally graded elastic Anisotropic plates using a discrete layer approach. Compos. Part B 37, 10\u201320 (2006)","journal-title":"Compos. Part B"},{"key":"1192_CR22","first-page":"197","volume":"77","author":"A.M. Zenkour","year":"2007","unstructured":"Zenkour A.M.: Benchmark trigonometric and 3-D elasticity solutions for an exponentially graded thick rectangular plate. Appl. Math. Model. 77, 197\u2013214 (2007)","journal-title":"Appl. Math. Model."},{"key":"1192_CR23","doi-asserted-by":"crossref","first-page":"733","DOI":"10.1002\/cnm.923","volume":"23","author":"J. Sladek","year":"2007","unstructured":"Sladek J., Sladek V., Hellmich CH., Eberhardsteiner J.: Analysis of thick functionally graded plates by local integral equation. Commun. Numer. Methods Eng. 23, 733\u2013754 (2007)","journal-title":"Commun. Numer. Methods Eng."},{"key":"1192_CR24","first-page":"57","volume":"28","author":"J. Sladek","year":"2008","unstructured":"Sladek J., Sladek V., Solek P., Wen PH.: Thermal bending of Reissner\u2013Mindlin plates by the MLPG, CMES. Comput. Model. Eng. Sci. 28, 57\u201376 (2008)","journal-title":"Comput. Model. Eng. Sci."},{"key":"1192_CR25","first-page":"77","volume":"30","author":"J. Sladek","year":"2008","unstructured":"Sladek J., Sladek V., Solek P., Wen P.H., Atluri S.N.: Thermal analysis of Reissner\u2013Mindlin shallow shells with FGM properties by the MLPG, CMES. Comput. Model. Eng. Sci. 30, 77\u201397 (2008)","journal-title":"Comput. Model. Eng. Sci."},{"key":"1192_CR26","doi-asserted-by":"crossref","first-page":"151","DOI":"10.1016\/j.compositesb.2007.02.026","volume":"39","author":"S. Abrate","year":"2008","unstructured":"Abrate S.: Functionally graded plates behave like homogeneous plates. Compos. Part B 39, 151\u2013158 (2008)","journal-title":"Compos. Part B"},{"issue":"8","key":"1192_CR27","doi-asserted-by":"crossref","first-page":"999","DOI":"10.1007\/s10483-008-0803-9","volume":"29","author":"Y Bo","year":"2008","unstructured":"Bo Y, Hao-Jiang D., Wei-Qiu C.: Elasticity solutions for functionally graded plates in cylindrical bending. Appl. Math. Mech. 29(8), 999\u20131004 (2008)","journal-title":"Appl. Math. Mech."},{"key":"1192_CR28","doi-asserted-by":"crossref","first-page":"256","DOI":"10.1016\/j.compstruct.2007.01.030","volume":"82","author":"H. Matsunaga","year":"2008","unstructured":"Matsunaga H.: Free vibration and stability of functionally graded plates according to 2-D higher-order deformation theory. Compos. Struct. 82, 256\u2013270 (2008)","journal-title":"Compos. Struct."},{"key":"1192_CR29","doi-asserted-by":"crossref","first-page":"344","DOI":"10.1016\/j.compstruct.2008.02.002","volume":"87","author":"H. Matsunaga","year":"2009","unstructured":"Matsunaga H.: Stress analysis of functionally graded plates subjected to thermal and mechanical loadings. Compos. Struct. 87, 344\u2013357 (2009)","journal-title":"Compos. Struct."},{"key":"1192_CR30","doi-asserted-by":"crossref","first-page":"76","DOI":"10.1016\/j.compstruct.2009.02.004","volume":"90","author":"H. Matsunaga","year":"2009","unstructured":"Matsunaga H.: Thermal buckling of functionally graded plates according to a 2D higher-order deformation theory. Compos. Struct. 90, 76\u201386 (2009)","journal-title":"Compos. Struct."},{"key":"1192_CR31","doi-asserted-by":"crossref","first-page":"333","DOI":"10.1016\/j.compstruct.2008.06.009","volume":"89","author":"R.S. Khabbaz","year":"2009","unstructured":"Khabbaz R.S., Manshadi B.D., Abedian A.: Nonlinear analysis of FGM plates under pressure loads using the higher-order shear deformation theories. Compos. Struct. 89, 333\u2013344 (2009)","journal-title":"Compos. Struct."},{"key":"1192_CR32","doi-asserted-by":"crossref","first-page":"320","DOI":"10.1080\/15376494.2010.488519","volume":"17","author":"M.M. Aghdam","year":"2010","unstructured":"Aghdam M.M., Bigdelli K., Shahmansouri N.: A semi-analytical solution for bending of moderately thick curved functionally graded panels. Mech. Adv. Mater. Struct. 17, 320\u2013327 (2010)","journal-title":"Mech. Adv. Mater. Struct."},{"key":"1192_CR33","doi-asserted-by":"crossref","first-page":"7","DOI":"10.1177\/1099636209102264","volume":"12","author":"A.M. Zenkour","year":"2010","unstructured":"Zenkour A.M., Alghamdi N.A.: Thermomechanical bending response of functionally graded nonsymmetric sandwich plates. J. Sandw. Struct. Mater. 12, 7\u201346 (2010)","journal-title":"J. Sandw. Struct. Mater."},{"key":"1192_CR34","doi-asserted-by":"crossref","first-page":"2591","DOI":"10.1016\/j.compstruct.2010.01.022","volume":"92","author":"C.P. Wu","year":"2010","unstructured":"Wu C.P., Li H.Y.: An RMVT-based third-order shear deformation theory of multilayered functionally graded material plates. Compos. Struct. 92, 2591\u20132605 (2010)","journal-title":"Compos. Struct."},{"key":"1192_CR35","doi-asserted-by":"crossref","first-page":"3991","DOI":"10.1016\/j.apm.2010.03.034","volume":"34","author":"M. Talha","year":"2010","unstructured":"Talha M., Singh B.N.: Static response and free vibration analysis of FGM plates using higher order shear deformation theory. Appl. Math. Model. 34, 3991\u20134011 (2010)","journal-title":"Appl. Math. Model."},{"key":"1192_CR36","doi-asserted-by":"crossref","first-page":"564","DOI":"10.1016\/j.enganabound.2010.01.005","volume":"34","author":"R. Vaghefi","year":"2010","unstructured":"Vaghefi R., Baradaran G.H., Koohkan H.: Three-dimensional static analysis of thick functionally graded plates by using meshless local Petrov\u2013Galerkin (MLPG) method. Eng. Anal. Bound. Elem. 34, 564\u2013573 (2010)","journal-title":"Eng. Anal. Bound. Elem."},{"key":"1192_CR37","doi-asserted-by":"crossref","first-page":"923","DOI":"10.1016\/j.compstruct.2010.07.001","volume":"93","author":"C.P. Wu","year":"2011","unstructured":"Wu C.P., Chiu K.H., Wang Y.M.: RMVT-based meshless collocation and element free Galerkin methods for the quasi-3D analysis of multilayered composite and FGM plates. Compos. Struct. 93, 923\u2013943 (2011)","journal-title":"Compos. Struct."},{"key":"1192_CR38","doi-asserted-by":"crossref","first-page":"1683","DOI":"10.1016\/j.compositesb.2011.03.013","volume":"42","author":"C.P. Wu","year":"2011","unstructured":"Wu C.P., Yang S.W.: RMVT-based meshless collocation and element-free Galerkin methods for the quasi-3D analysis of multilayered composite and FGM circular hollow cylinders. Compos. Part B 42, 1683\u20131700 (2011)","journal-title":"Compos. Part B"},{"key":"1192_CR39","doi-asserted-by":"crossref","first-page":"1386","DOI":"10.1016\/j.compositesb.2011.05.032","volume":"42","author":"A. Benachour","year":"2011","unstructured":"Benachour A., Tahar H.D., Atmane H.A., Tounsi A., Ahmed M.S.: A four variable refined plate theory for free vibrations of functionally graded plates with arbitrary gradient. Compos. Part B 42, 1386\u20131394 (2011)","journal-title":"Compos. Part B"},{"key":"1192_CR40","doi-asserted-by":"crossref","first-page":"2335","DOI":"10.1016\/j.compositesb.2011.11.062","volume":"43","author":"H.T. Thai","year":"2011","unstructured":"Thai H.T., Choi D.H.: A refined shear deformation theory for free vibration of functionally graded plates on elastic foundation. Compos. Part B 43, 2335\u20132347 (2011)","journal-title":"Compos. Part B"},{"key":"1192_CR41","doi-asserted-by":"crossref","first-page":"1128","DOI":"10.1016\/j.compstruct.2011.10.006","volume":"94","author":"J.N. Reddy","year":"2012","unstructured":"Reddy J.N., Kim J.: A nonlinear modified couple stress-based third-order theory of functionally graded plates. Compos. Struct. 94, 1128\u20131143 (2012)","journal-title":"Compos. Struct."},{"key":"1192_CR42","doi-asserted-by":"crossref","first-page":"123","DOI":"10.1016\/j.compositesb.2010.10.005","volume":"42","author":"E. Carrera","year":"2011","unstructured":"Carrera E., Brischetto S., Cinefra M., Soave M.: Effects of thickness stretching in functionally graded plates and shells. Compos. Part B 42, 123\u2013133 (2011)","journal-title":"Compos. Part B"},{"key":"1192_CR43","doi-asserted-by":"crossref","first-page":"194","DOI":"10.2514\/1.32490","volume":"46","author":"E. Carrera","year":"2008","unstructured":"Carrera E., Brischetto S., Robaldo A.: Variable kinematics model for the analysis of functionally graded material plates. J. AIAA 46, 194\u2013203 (2008)","journal-title":"J. AIAA"},{"key":"1192_CR44","doi-asserted-by":"crossref","first-page":"13","DOI":"10.2140\/jomms.2009.4.13","volume":"4","author":"S. Brischetto","year":"2009","unstructured":"Brischetto S.: Classical and mixed advanced models for sandwich plates embedding functionally graded cores. J. Mech. Mater. Struct. 4, 13\u201333 (2009)","journal-title":"J. Mech. Mater. Struct."},{"key":"1192_CR45","unstructured":"Brischetto, S., Carrera, E.: Classical and mixed theories for bending analysis of functionally graded materials shells. In: Proceedings of APCOM\u201907 in Conjunction with EPMESC XI, Kyoto, Japan (2007)"},{"key":"1192_CR46","doi-asserted-by":"crossref","first-page":"1474","DOI":"10.1016\/j.compstruc.2008.04.004","volume":"88","author":"S. Brischetto","year":"2010","unstructured":"Brischetto S., Carrera E.: Advanced mixed theories for bending analysis of functionally graded plates. Comput. Struct. 88, 1474\u20131483 (2010)","journal-title":"Comput. Struct."},{"key":"1192_CR47","doi-asserted-by":"crossref","first-page":"368","DOI":"10.1016\/j.mechrescom.2011.04.011","volume":"38","author":"A.M.A. Neves","year":"2011","unstructured":"Neves A.M.A., Ferreira A.J.M., Carrera E., Roque C.M.C., Cinefra M., Jorge R.M.N., Soares C.M.M.: Bending of FGM plates by a sinusoidal plate formulation and collocation with radial basis functions. Mech. Res. Commun. 38, 368\u2013371 (2011)","journal-title":"Mech. Res. Commun."},{"key":"1192_CR48","doi-asserted-by":"crossref","first-page":"711","DOI":"10.1016\/j.compositesb.2011.08.009","volume":"43","author":"A.M.A. Neves","year":"2012","unstructured":"Neves A.M.A., Ferreira A.J.M., Carrera E., Roque C.M.C., Cinefra M., Jorge R.M.N., Soares C.M.M.: A quasi-3D sinusoidal shear deformation theory for the static and free vibration analysis of functionally graded plates. Compos. Part B 43, 711 (2012)","journal-title":"Compos. Part B"},{"issue":"5","key":"1192_CR49","doi-asserted-by":"crossref","first-page":"1814","DOI":"10.1016\/j.compstruct.2011.12.005","volume":"94","author":"A.M.A. Neves","year":"2012","unstructured":"Neves A.M.A., Ferreira A.J.M., Carrera E., Cinefra M., Roque C.M.C., Jorge R.M.N.: A quasi-3D hyperbolic shear deformation theory for the static and free vibration analysis of functionally graded plates. Compos. Struct. 94(5), 1814\u20131825 (2012)","journal-title":"Compos. Struct."},{"issue":"1","key":"1192_CR50","doi-asserted-by":"crossref","first-page":"657","DOI":"10.1016\/j.compositesb.2012.01.089","volume":"44","author":"A.M.A. Neves","year":"2013","unstructured":"Neves A.M.A., Ferreira A.J.M., Carrera E., Cinefra M., Roque C.M.C., Jorge R.M.N.: Static, free vibration and buckling analysis of isotropic and sandwich functionally graded plates using a quasi-3D higher-order shear deformation theory and a meshless technique. Compos. B Eng. 44(1), 657\u2013674 (2013)","journal-title":"Compos. B Eng."},{"key":"1192_CR51","doi-asserted-by":"crossref","first-page":"1276","DOI":"10.1016\/j.compositesb.2011.01.031","volume":"42","author":"A.J.M. Ferreira","year":"2011","unstructured":"Ferreira A.J.M., Carrera E., Cinefra M., Roque C.M.C., Polit O.: Analysis of laminated shells by a sinusoidal shear deformation theory and radial basis functions collocation, accounting for through-the-thickness deformations. Compos. Part B 42, 1276\u20131284 (2011)","journal-title":"Compos. Part B"},{"key":"1192_CR52","doi-asserted-by":"crossref","first-page":"714","DOI":"10.1016\/j.compstruct.2011.09.007","volume":"94","author":"J.L. Mantari","year":"2012","unstructured":"Mantari J.L., Oktem A.S., Guedes Soares C.: Bending response of functionally graded plates by using a new higher order shear deformation theory. Compos. Struct. 94, 714\u2013723 (2012)","journal-title":"Compos. Struct."},{"key":"1192_CR53","doi-asserted-by":"crossref","first-page":"1991","DOI":"10.1016\/j.compstruct.2012.01.005","volume":"94","author":"J.L. Mantari","year":"2012","unstructured":"Mantari J.L., Guedes Soares C.: Bending analysis of thick exponentially graded plates using a new trigonometric higher order shear deformation theory. Compos. Struct. 94, 1991\u20132000 (2012)","journal-title":"Compos. Struct."},{"key":"1192_CR54","doi-asserted-by":"crossref","first-page":"545","DOI":"10.1016\/j.compstruct.2012.08.004","volume":"96","author":"J.L. Mantari","year":"2013","unstructured":"Mantari J.L., Guedes Soares C.: Finite element formulation of a generalized higher order shear deformation theory for advanced composite plates. Compos. Struct. 96, 545\u2013553 (2013)","journal-title":"Compos. Struct."},{"key":"1192_CR55","doi-asserted-by":"crossref","first-page":"268","DOI":"10.1016\/j.compositesb.2012.05.036","volume":"45","author":"J.L. Mantari","year":"2013","unstructured":"Mantari J.L., Guedes Soares C.: A novel higher-order shear deformation theory with stretching effect for functionally graded plates. Compos. Part B 45, 268\u2013281 (2013)","journal-title":"Compos. Part B"},{"key":"1192_CR56","doi-asserted-by":"crossref","first-page":"2561","DOI":"10.1016\/j.compstruct.2012.02.019","volume":"94","author":"J.L. Mantari","year":"2012","unstructured":"Mantari J.L., Guedes Soares C.: Generalized hybrid quasi-3D shear deformation theory for the static analysis of advanced composite plates. Compos. Struct. 94, 2561\u20132575 (2012)","journal-title":"Compos. Struct."},{"key":"1192_CR57","doi-asserted-by":"crossref","first-page":"336","DOI":"10.1016\/j.euromechsol.2012.08.005","volume":"37","author":"S. Xiang","year":"2013","unstructured":"Xiang S., Kang G.: A nth-order shear deformation theory for the bending analysis on the functionally graded plates. Eur. J. Mech. A Solids 37, 336\u2013343 (2013)","journal-title":"Eur. J. Mech. A Solids"},{"key":"1192_CR58","doi-asserted-by":"crossref","first-page":"748","DOI":"10.1016\/j.compositesb.2012.07.015","volume":"45","author":"B. Mechab","year":"2013","unstructured":"Mechab B., Mechab I., Benaissa S.: Static and dynamic analysis of functionally graded plates using four-variable refined plate theory by the new function. Compos. Part B 45, 748\u2013757 (2013)","journal-title":"Compos. Part B"},{"key":"1192_CR59","doi-asserted-by":"crossref","first-page":"172","DOI":"10.1016\/j.compstruct.2012.11.030","volume":"99","author":"H.T. Thai","year":"2013","unstructured":"Thai H.T., Kim S.E.: A simple quasi-3D sinusoidal shear deformation theory for functionally graded plates. Compos. Struct. 99, 172\u2013180 (2013)","journal-title":"Compos. Struct."},{"key":"1192_CR60","unstructured":"Mantari, J.L., Guedes Soares, C.: A Trigonometric Plate Theory with 5-Unknows and Stretching Effect for Advanced Composite Plates, Submitted for publication"},{"key":"1192_CR61","unstructured":"Mantari, J.L., Guedes Soares, C.: Optimizing the Sinusoidal Higher Order Shear Deformation Theory, Submitted for publication"},{"key":"1192_CR62","doi-asserted-by":"crossref","unstructured":"Zenkour, A.M.: A simple four-unknown refined theory for bending analysis of functionally graded plates. Appl. Math. Model. (2013). doi: 10.1016\/j.apm.2013.04.022","DOI":"10.1016\/j.apm.2013.04.022"},{"key":"1192_CR63","doi-asserted-by":"crossref","DOI":"10.1201\/b12409","volume-title":"Mechanics of Laminated Composite Plates: Theory and Analysis, 2nd edn","author":"J.N. Reddy","year":"2004","unstructured":"Reddy J.N.: Mechanics of Laminated Composite Plates: Theory and Analysis, 2nd edn. CRC Press, Boca Raton, FL (2004)"},{"key":"1192_CR64","doi-asserted-by":"crossref","first-page":"163","DOI":"10.1016\/j.euromechsol.2012.03.002","volume":"36","author":"A.S. Oktem","year":"2012","unstructured":"Oktem A.S., Mantari J.L., Guedes Soares C.: Static response of functionally graded plates and doubly-curved shells based on a higher order shear deformation theory. Eur. J. Mech. A Solids 36, 163\u2013172 (2012)","journal-title":"Eur. J. Mech. A Solids"}],"container-title":["Acta Mechanica"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00707-014-1192-3.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s00707-014-1192-3\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00707-014-1192-3","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,13]],"date-time":"2019-08-13T05:04:29Z","timestamp":1565672669000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s00707-014-1192-3"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2014,7,25]]},"references-count":64,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2015,3]]}},"alternative-id":["1192"],"URL":"https:\/\/doi.org\/10.1007\/s00707-014-1192-3","relation":{},"ISSN":["0001-5970","1619-6937"],"issn-type":[{"value":"0001-5970","type":"print"},{"value":"1619-6937","type":"electronic"}],"subject":[],"published":{"date-parts":[[2014,7,25]]}}}