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Shape sensitivities of an elasto-plastic Total Lagrangian shell for large displacements

Lookup NU author(s): Professor Peter Gosling, Dr Ian Roy


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Recent papers have reported developments in the concept of using an absolute total Lagrangian formulation in which the co-ordinates of a discretisation in a structural mechanics problem replace the conventional displacement vector of unknowns. We first present a position-based model for a thin shell. Initially, perfect elasticity was assumed, after which the model was modified to include the effect of plasticity, using the Ivanov yield function. We then describe a sensitivity calculation which relates the deformed and un-deformed shell configurations, first in the perfectly elastic, and then in the elasto-plastic case. An example is presented for various plasticities, in comparison with a finite difference check. Copyright © 2004 by the American Institute of Aeronautics and Astronautics, Inc. All rights reserved.

Publication metadata

Author(s): Gosling PD, Roy IM

Publication type: Conference Proceedings (inc. Abstract)

Publication status: Published

Conference Name: 10th AIAA/ISSMO Multidisciplinary Analysis and Optimization Conference

Year of Conference: 2004

Pages: 560-571

Publisher: AIAA


Notes: AIAA 2004-4345

Library holdings: Search Newcastle University Library for this item

ISBN: 1563477165