Nonlinear Analysis of RC Shell Structures Using Laminated Element. I
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Volume 119, Issue 7
Abstract
An incremental variational formulation is presented for large deflection analysis of elastic‐plastic continuum by considering the energy consistency of a nonlinear multivariable discrete system based upon incompatible trial functions. The functional is given in orthogonal curvilinear coordinate system and the initial stress procedure has been introduced. Equilibrium imbalance correction is included to prevent drifting of the solution during the incremental process. As an initial application of the suggested formulation, a hybrid stress laminated shell element, in which an energy constraint is introduced to improve the element performance, has been developed to analyze the through‐thickness plastic behavior and the progressive cracking in RC plates and shells. It is of quadrilateral shape with only four corner nodes and can be used for both shallow and deep laminated shells with satisfactory numerical characteristics. Example problems are also included to illustrate the element performance.
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Published In
Journal of Structural Engineering
Volume 119 • Issue 7 • July 1993
Pages: 2059 - 2073
Copyright
Copyright © 1993 American Society of Civil Engineers.
History
Received: Sep 20, 1991
Published online: Jul 1, 1993
Published in print: Jul 1993
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