Recent results in the theory of elastic plates

References

• Antman , S. S. 1995 . Nonlinear Problems of Elasticity , Springer-Verlag .
   Google Scholar
• Antman , S. S. and Marlow , R. S. 1991 . Material constraints, Lagrange multipliers, and compatibility. Applications to rod and shell theories . Arch. Rational Mech. Anal. , 116 : 257 – 299 .
   Web of Science ®Google Scholar
• Antman , S. S. and Osborn , J. E. 1979 . The principle of virtual work and integral laws of motion . Arch. Rational Mech. Anal. , 69 : 231 – 262 .
   Web of Science ®Google Scholar
• DiCarlo , A. 1996 . A non-standard format for continuum mechanics , Edited by: Batra , R. C. and Beatty , M. F. 263 – 268 . Barcelona : CIMNE . of Contemporary Research in the Mechanics and Mathematics of Materials
   Google Scholar
• DiCarlo , A. , Podio-Guidugli , P. and Williams , W. O. 1999 . Shells with thickness distension . Int. J. Solids& Structures , To appear in
   Google Scholar
• DiCarlo , A. , Podio-Guidugli , P. and Williams , W. O. 1999 . Forthcoming ,
   Google Scholar
• Germain , P. 1972 . Sur l'application dela méthode des puissances virtuelles en mécanique des milieux continus . C. R. Acad. Sc. Paris , 274 : 1051 – 1055 . Série A
   Google Scholar
• Germain , P. 1973 . La méthode des puissances virtuelles en mécanique des milieux continus. Premiere partie: Théorie du second gradient . J. Mécanique , 12 : 235 – 274 .
   Google Scholar
• Germain , P. 1973 . The method of virtual power in continuum mechanics. Part 2: Microstructure . SIAM J. Appl. Math. , 25 : 556 – 575 .
   Web of Science ®Google Scholar
• Germain , P. 1976 . Duality and convection in continuum mechanics , Edited by: Fichera , G. 107 – 128 . Pitman Publishing . of Trends in Applications of Pure Mathematics to Mechanics
   Google Scholar
• Lembo , M. and Podio-Guidugli , P. 1991 . Plate theory as an exact consequence of three-dimensional linear elasticity . European J. Mech., A/Solids , 10 : 485 – 516 .
   Google Scholar
• Maugin , G. A. 1980 . The method of virtual power in continuum mechanics: applications to coupled fields . Acta Mech. , 35 : 1 – 70 .
   Web of Science ®Google Scholar
• Mindlin , R. D. 1972 . High frequency vibrations of piezoelectric crystal plates . Int. J. Solids Structures , 8 : 895 – 906 .
   Google Scholar
• Naghdi , P. M. 1972 . The theory of shells and plates , Edited by: Truesdell , C. Vol. VIa/2 , 425 – 640 . Berlin : Springer-Verlag . of S. Flügge's Encyclopedia, of Physics
   Google Scholar
• Nicotra , V. and Podio-Guidugli , P. 1998 . Piezoelectric plates with changing thickness . J. Structural Control , 5 ( 2 ) : 73 – 86 .
   Google Scholar
• Podio-Guidugli , P. 1989 . An exact derivation of the thin plate equation . J. Elasticity , 22 : 121 – 133 .
   Web of Science ®Google Scholar
• Podio-Guidugli , P. 1995 . Local and global constraints . Paper presented at the 3d Meeting on Current Ideas in Mechanics and Related Fields . June 1995 , Segovia.
   Google Scholar
• Podio-Guidugli , P. 1998 . Theory of Elastic Plates. Forthcoming ,
   Google Scholar
• Podio-Guidugli , P. 1999 . On internal constraints and the derivation of a linear plate theory . To appear in the Proceedings of STAMM98 . 1999 , Nice.
   Google Scholar