Shock and Vibration

Shock and Vibration / 2012 / Article

Open Access

Volume 19 |Article ID 267014 |

Pawel Woelke, Ka-Kin Chan, Raymond Daddazio, Najib Abboud, "Stress Resultant Based Elasto-Viscoplastic Thick Shell Model", Shock and Vibration, vol. 19, Article ID 267014, 16 pages, 2012.

Stress Resultant Based Elasto-Viscoplastic Thick Shell Model

Received24 Apr 2010
Revised04 Jun 2011


The current paper presents enhancement introduced to the elasto-viscoplastic shell formulation, which serves as a theoretical base for the finite element code EPSA (Elasto-Plastic Shell Analysis) [1–3]. The shell equations used in EPSA are modified to account for transverse shear deformation, which is important in the analysis of thick plates and shells, as well as composite laminates. Transverse shear forces calculated from transverse shear strains are introduced into a rate-dependent yield function, which is similar to Iliushin's yield surface expressed in terms of stress resultants and stress couples [12]. The hardening rule defined by Bieniek and Funaro [4], which allows for representation of the Bauschinger effect on a moment-curvature plane, was previously adopted in EPSA and is used here in the same form. Viscoplastic strain rates are calculated, taking into account the transverse shears. Only non-layered shells are considered in this work.

Copyright © 2012 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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