On linear equations of isotropic elastic plates and shells

✍ Scribed by Yi-Yuan Yu

• Publisher: Elsevier Science
• Year: 1965
• Tongue: English
• Weight: 903 KB
• Volume: 280
• Category: Article
• ISSN: 0016-0032
• DOI: 10.1016/0016-0032(65)90530-2

✦ Synopsis

~ generalized Hamilton's principle and the associated variational equation of motion for nonlinear elasticity theory are given in a previous paper (1). In this paper we present a modified linearized version, from which the corresponding variational principle for an isotropic shell of arbitrary uniform thickness is deduced by means of the series expansion method. The complete system of shell equations are obtained as the Euler equations. These reduce to the previous results (2, 3) for isotropic plates as a special case. When the infinite series is truncated and the assumption of a thin shell introduced, the first-order approximation yields the usual shell equations that include the effect of transverse shear deformation (4, 5).