Plates and Shells for Smart Structures: Classical and Advanced Theories for Modeling and Analysis

Plates and Shells for Smart Structures: Classical and Advanced Theories for Modeling and Analysis

Volumn , Issue , 2011, Pages

  Carrera, Erasmo ^a   Brischetto, Salvatore ^a   Nali, Pietro ^a  

^a POLITECNICO DI TORINO   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84891585280     PISSN: None     EISSN: None     Source Type: Book    
DOI: 10.1002/9781119950004     Document Type: Book

References (225)

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102. Brischetto S 2009 Classical and mixed advanced models for sandwich plates embedding functionally graded cores. J. Mech. Mater. Struct. 4, 13-33.
103. Brischetto S and Carrera E 2009 Refined 2D models for the analysis of functionally graded piezoelectric plates. J. Intell. Mater. Syst. Struct. 20, 1783-1797.
104. Brischetto S and Carrera E 2010 Advanced mixed theories for bending analysis of functionally graded plates. Comput. Struct. 88, 1474-1483.
105. Brischetto S, Carrera E, and Demasi L 2009a Improved bending analysis of sandwich plates using a zig-zag function. Comp. Struct. 89, 408-415.
106. Brischetto S, Carrera E, and Demasi L 2009b Free vibration of sandwich plates and shells by using zig-zag function. Shock Vib. 16, 495-503.
107. Brischetto S, Carrera E, and Demasi L 2009c Improved response of unsymmetrically laminated sandwich plates by using zig-zag functions. J. Sandwich Struct. Mater. 11, 257-267.
108. Carrera E 1995 A class of two-dimensional theories for anisotropic multilayered plates analysis. Accad. Sci. Torino, Mem. Sci. Fis. 19-20, 1-39.
109. Carrera E 2002 Theories and finite elements for multilayered anisotropic, composite plates and shells. Arch. Comput. Meter. Eng. 9, 87-140.
110. Carrera E 2003 Historical review of zig-zag theories for multilayered plates and shells. App. Mech. Rev. 56, 287-309.
111. Carrera E and Boscolo M 2007 Classical and mixed finite elements for static and dynamic analysis of piezoelectric plates. Int. J. Num. Meth. Eng. 70, 1135-1181.
112. Carrera E, Boscolo M, and Robaldo A 2007 Hierarchic multilayered plate elements for coupled multifield problems of piezoelectric adaptice structures: formulation and numerical assessment. Arch. Comput. Methods Eng. 14, 383-430.
113. Carrera E and Brischetto S 2007a Piezoelectric shell theories with "a priori" continuous transverse electromechanical variables. J. Mech. Mater. Struct. 2, 377-398.
114. Carrera E and Brischetto S 2007b Reissner mixed theorem applied to static analysis of piezoelectric shells. J. Intell. Mater. Syst. Struct. 18, 1083-1107.
115. Carrera E and Brischetto S 2008a Analysis of thickness locking in classical, refined and mixed multilayered plate theories. Comp. Struct. 82, 549-562.
116. Carrera E and Brischetto S 2008b Analysis of thickness locking in classical, refined and mixed theories for layered shells. Comp. Struct. 85, 83-90.
117. Carrera E and Brischetto S 2009a A survey with numerical assessment of classical and refined theories for the analysis of sandwich plates. Appl. Mech. Rev. 62, 1-17.
118. Carrera E and Brischetto S 2009b A comparison of various kinematic models for sandwich shell panels with soft core. J. Compos. Mater. 43, 2201-2221.
119. Carrera E, Brischetto S, and Nali P 2008 Variational statements and computational models for multifield problems and multilayered structures. Mech. Adv.Mater. Struct. 15, 182-198.
120. Carrera E, Brischetto S, and Cinefra M 2010a Variable kinematics and advanced variational statements for free vibrations analysis of piezoelectric plates and shells. Comput. Model. Eng. Sci. 65, 259-341.
121. Carrera E, Nali P, Brischetto S, and Cinefra M 2010b Hierarchic plate and shell theories with direct evaluation of transverse electric displacement. In Proceedings of 17th AIAA/ASME/AHS Adaptive Strutctures Conference.
122. Demasi L 2008a ∞3 hierarchy plate theories for thick and thin composite plates: the generalized unified formulation. Comp. Struct. 84, 256-270.
123. Demasi L 2008b 2D, quasi 3D and 3D exact solutions for bending of thick and thin sandwich plates. J. Sand. Struct. Mater. 10, 271-310.
124. D'Ottavio M and Kröplin B 2006 An extension of Reissner mixed variational theorem to piezoelectric laminates. Mech. Adv. Mater. Struct. 13, 139-150.
125. Hsu T and Wang JT 1970 A theory of laminated cylindrical shells consisting of layers of orthotropic laminae. AIAA J. 8, 2141-2146.
126. Hsu T and Wang JT 1971 Rotationally symmetric vibrations of orthotropic layered cylindrical shells. J. Sound Vib. 16, 473-487.
127. Ikeda T 1996 Fundamentals of Piezoelectricity. Oxford University Press.
128. Librescu L and Schmidt R 1988 Refined theories of elastic anisotropic shells accounting for small strains and moderate rotations. Int. J. Non-linear. Mech. 23, 217-229.
129. Librescu L and Wu EM 1977 A higher-order theory of plate deformation. Part 2: laminated plates. J. Appl. Mech. 44, 669-676.
130. Murakami H 1985 Laminated composite plate theory with improved in-plane responses. In ASME Proceedings of Pressure Vessels & Piping Conference.
131. Murakami H 1986 Laminated composite plate theory with improved in-plane responses. J. Appl. Mech. 53, 661-666.
132. Reddy JN 2004 Mechanics of Laminated Composite Plates and Shells; Theory and Analysis. CRC Press.
133. Reissner E 1984 On a certain mixed variational theory and a proposed application. Int. J. Numer. Methods. Eng. 20, 1366-1368.
134. Robbins DH Jr. and Reddy JN 1993 Modeling of thick composites using a layer-wise theory. Int. J. Numer. Methods. Eng. 36, 655-677.
135. Srinivas S 1973 A refined analysis of composite laminates. J. Sound Vib. 30, 495-507.
136. Ballhause D, D'Ottavio M, Kröplin B, and Carrera E 2005 A unified formulation to assess multilayered theories for piezoelectric plates. Comput. Struct. 83, 1217-1235.
137. Brischetto S 2009 Classical and mixed advanced models for sandwich plates embedding functionally graded cores. J. Mech. Mater. Struct. 4, 13-33.
138. Brischetto S and Carrera E 2009 Refined 2D models for the analysis of functionally graded piezoelectric plates. J. Intell. Mater. Syst. Struct. 20, 1783-1797.
139. Brischetto S and Carrera E 2010 Advanced mixed theories for bending analysis of functionally graded plates. Comp. Struct. 88, 1474-1483.
140. Brischetto S, Carrera E, and Demasi L 2009a Improved bending analysis of sandwich plates using a zig-zag function. Comp. Struct. 89, 408-415.
141. Brischetto S, Carrera E, and Demasi L 2009b Free vibration of sandwich plates and shells by using zig-zag function. Shock Vib. 16, 495-503.
142. Brischetto S, Carrera E, and Demasi L 2009c Improved response of unsymmetrically laminated sandwich plates by using zig-zag functions. J. Sandwich Struct. Mater. 11, 257-267.
143. Carrera E 1995 A class of two-dimensional theories for anisotropic multilayered plates analysis. Accad Sci. Torino, Mem. Sci. Fis. 19-20, 1-39.
144. Carrera E 1999a Multilayered shell theories that account for a layer-wise mixed description. Part I. Governing equations. AIAA J. 37, 1107-1116.
145. Carrera E 1999b Multilayered shell theories that account for a layer-wise mixed description. Part II. Numerical evaluations. AIAA J. 37, 1117-1124.
146. Carrera E 2002 Theories and finite elements for multilayered anisotropic, composite plates and shells. Arch. Comput. Methods. Eng. 9, 87-140.
147. Carrera E 2003 Historical review of zig-zag theories for multilayered plates and shells. Appl. Mech. Rev. 56, 287-309.
148. Carrera E and Boscolo M 2007 Classical and mixed finite elements for static and dynamic analysis of piezoelectric plates. Int. J. Numer. Methods Eng. 70, 1135-1181.
149. Carrera E, Boscolo M, and Robaldo A 2007 Hierarchic multilayered plate elements for coupled multifield problems of piezoelectric adaptive structures: formulation and numerical assessment. Arch. Comput. Methods. Eng. 14, 383-430.
150. Carrera E, Brischetto S, and Cinefra M 2010a Variable kinematics and advanced variational statements for free vibrations analysis of piezoelectric plates and shells. Comput. Model. Eng. Sc. 65, 259-341.
151. Carrera E, Brischetto S, and Nali P 2008 Variational statements and computational models for multifield problems and multilayered structures.Mech. Adv. Mater. Struct. 15, 182-198.
152. Carrera E and Brischetto S 2007a Piezoelectric shell theories with "a priori" continuous transverse electro-mechanical variables. J. Mech. Mater. Struct. 2, 377-398.
153. Carrera E and Brischetto S 2007b Reissner mixed theorem applied to static analysis of piezoelectric shells. J. Int. Mater. Syst. Struct. 18, 1083-1107.
154. Carrera E and Brischetto S 2008a Analysis of thickness locking in classical, refined and mixed multilayered plate theories. Comp. Struct. 82, 549-562.
155. Carrera E and Brischetto S 2008b Analysis of thickness locking in classical, refined and mixed theories for layered shells. Comp. Struct. 85, 83-90.
156. Carrera E and Brischetto S 2009a A survey with numerical assessment of classical and refined theories for the analysis of sandwich plates. Appl. Mech. Rev. 62, 1-17.
157. Carrera E and Brischetto S 2009b A comparison of various kinematic models for sandwich shell panels with soft core. J. Compos. Mater. 43, 2201-2221.
158. Carrera E, Nali P, Brischetto S, and CinefraM 2010b Hierarchic plate and shell theories with direct evaluation of transverse electric displacement. In Proceedings of 17th AIAA/ASME/AHS Adaptive Strutctures Conference.
159. D'Ottavio M and Kröplin B 2006 An extension of Reissner mixed variational theorem to piezoelectric laminates. Mech. Adv. Mater. Struct. 13, 139-150.
160. Hsu T and Wang JT 1970 A theory of laminated cylindrical shells consisting of layers of orthotropic laminae. AIAA J. 8, 2141-2146.
161. Hsu T and Wang JT 1971 Rotationally symmetric vibrations of orthotropic layered cylindrical shells. J. Sound Vib. 16, 473-487.
162. Ikeda T 1996 Fundamentals of Piezoelectricity. Oxford University Press.
163. Kreyszig E 1966 Advanced Engineering Mathematics. John Wiley & Sons, Inc., USA.
164. Leissa AW 1969 Vibration of Plates. NASA SP-160.
165. Leissa AW 1973 Vibration of Shells. NASA SP-288.
166. Librescu L and Schmidt R 1988 Refined theories of elastic anisotropic shells accounting for small strains and moderate rotations. Int. J. Non-linear Mech. 23, 217-229.
167. Librescu L and Wu EM 1977 A higher-order theory of plate deformation. Part 2: laminated plates. J. Appl. Mech. 44, 669-676.
168. Murakami H 1985 Laminated composite plate theory with improved in-plane responses. In ASME Proceedings of Pressure Vessels & Piping Conference.
169. Murakami H 1986 Laminated composite plate theory with improved in-plane responses. J. Appl. Mech. 53, 661-666.
170. Reddy JN 2004 Mechanics of Laminated Composite Plates and Shells: Theory and Analysis. CRC Press.
171. Reissner E 1984 On a certain mixed variational theory and a proposed application. Int. J. Numer. Methods Eng. 20, 1366-1368.
172. Robbins DH Jr. and Reddy JN 1993 Modeling of thick composites using a layer-wise theory. Int. J. Numer. Methods Eng. 36, 655-677.
173. Sokolnikoff IS 1956 Mathematical Theory of Elasticity. McGraw-Hill.
174. Srinivas S 1973 A refined analysis of composite laminates. J. Sound Vib. 30, 495-507.
175. Vlasov VZ Osnovnye Differentsialnye Uravnemia Obshche Teorii Uprugikh Obolochek (1951) Pinkl. Mat. Mekh. (English Translation NACA TM-1241, Basic Differential Equations in General Theory of Elastic Shells, 1951).
176. Ballhause D, D'Ottavio M, Kröplin B, and Carrera E 2005 A unified formulation to assess multilayered theories for piezoelectric plates. Comput. Struct. 83, 1217-1235.
177. Brischetto S 2009 Classical and mixed advanced models for sandwich plates embedding functionally graded cores. J. Mech. Mater. Struct. 4, 13-33.
178. Brischetto S and Carrera E 2009 Refined 2D models for the analysis of functionally graded piezoelectric plates. J. Intell. Mater. Syst. Struct. 20, 1783-1797.
179. Brischetto S and Carrera E 2010 Advanced mixed theories for bending analysis of functionally graded plates. Comput. Struct. 88, 1474-1483.
180. Brischetto S, Carrera E, and Demasi L 2009a Improved bending analysis of sandwich plates using a zig-zag function. Comp. Struct. 89, 408-415.
181. Brischetto S, Carrera E, and Demasi L 2009b Free vibration of sandwich plates and shells by using zig-zag function. Shock Vib. 16, 495-503.
182. Brischetto S, Carrera E, and Demasi L 2009c Improved response of unsymmetrically laminated sandwich plates by using zig-zag functions. J. Sandwich. Struct. Mater. 11, 257-267.
183. Carrera E 1995 A class of two-dimensional theories for anisotropic multilayered plates analysis. Accad. Sci. Torino, Mem. Sci. Fis. 19-20, 1-39.
184. Carrera E 2002 Theories and finite elements for multilayered anisotropic, composite plates and shells. Arch. Comput. Methods Eng. 9, 87-140.
185. Carrera E 2003 Historical review of zig-zag theories for multilayered plates and shells. Appl. Mech. Rev. 56, 287-309.
186. Carrera E and Boscolo M 2007 Classical and mixed finite elements for static and dynamic analysis of piezoelectric plates. Int. J. Numer. Methods. Eng. 70, 1135-1181.
187. Carrera E and Brischetto S 2007a Piezoelectric shell theories with "a priori" continuous transverse electro-mechanical variables. J. Mech. Mater. Struct. 2, 377-398.
188. Carrera E and Brischetto S 2007b Reissner mixed theorem applied to static analysis of piezoelectric shells. J. Intell. Mater. Syst. Struct. 18, 1083-1107.
189. Carrera E and Brischetto S 2008a Analysis of thickness locking in classical, refined and mixed multilayered plate theories. Comp. Struct. 82, 549-562.
190. Carrera E and Brischetto S 2008b Analysis of thickness locking in classical, refined and mixed theories for layered shells. Comp. Struct. 85, 83-90.
191. Carrera E and Brischetto S 2009a A survey with numerical assessment of classical and refined theories for the analysis of sandwich plates. Appl. Mech. Rev. 62, 1-17.
192. Carrera E and Brischetto S 2009b A comparison of various kinematic models for sandwich shell panels with soft core. J. Compos. Mater. 43, 2201-2221.
193. Carrera E, Boscolo M, and Robaldo A 2007 Hierarchic multilayered plate elements for coupled multifield problems of piezoelectric adaptive structures: formulation and numerical assessment. Arch. Comput. Methods Eng. 14, 383-430.
194. Carrera E, Brischetto S, and Nali P 2008 Variational statements and computational models for multifield problems and multilayered structures. Mech. Adv.Mater. Struct. 15, 182-198.
195. Demasi L 2008a ∞3 hierarchy plate theories for thick and thin composite plates: the generalized unified formulation. Comp. Struct. 84, 256-270.
196. Demasi L 2008b 2D, quasi 3D and 3D exact solutions for bending of thick and thin sand wich plates. J. Sandwich. Struct. Mater. 10, 271-310.
197. Hsu T and Wang JT 1970 A theory of laminated cylindrical shells consisting of layers of orthotropic laminae. AIAA J. 8, 2141-2146.
198. Hsu T and Wang JT 1971 Rotationally symmetric vibrations of orthotropic layered cylindrical shells. J. Sound Vib. 16, 473-487.
199. Ikeda T 1996 Fundamentals of Piezoelectricity. Oxford University Press.
200. Librescu L and Schmidt R 1988 Refined theories of elastic anisotropic shells accounting for small strains and moderate rotations. Int. J. Non-linear Mech. 23, 217-229.
201. Librescu L and Wu EM 1977 A higher-order theory of plate deformation. Part 2: laminated plates. J. Appl. Mech. 44, 669-676.
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