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Finite element analysis of large transient elastic-plastic deformations of simple structures, with application to the engine rotor fragment containment/deflection problemAssumed-displacement versions of the finite-element method are developed to predict large-deformation elastic-plastic transient deformations of structures. Both the conventional and a new improved finite-element variational formulation are derived. These formulations are then developed in detail for straight-beam and curved-beam elements undergoing (1) Bernoulli-Euler-Kirchhoff or (2) Timoshenko deformation behavior, in one plane. For each of these categories, several types of assumed-displacement finite elements are developed, and transient response predictions are compared with available exact solutions for small-deflection, linear-elastic transient responses. The present finite-element predictions for large-deflection elastic-plastic transient responses are evaluated via several beam and ring examples for which experimental measurements of transient strains and large transient deformations and independent finite-difference predictions are available.
Document ID
19720015265
Acquisition Source
Legacy CDMS
Document Type
Contractor Report (CR)
Authors
Wu, R. W.
(Massachusetts Inst. of Tech. Cambridge, MA, United States)
Witmer, E. A.
(Massachusetts Inst. of Tech. Cambridge, MA, United States)
Date Acquired
September 2, 2013
Publication Date
January 1, 1972
Subject Category
Structural Mechanics
Report/Patent Number
NASA-CR-120886
ASRL-TR-154-4
Accession Number
72N22915
Funding Number(s)
CONTRACT_GRANT: NGR-22-009-339
Distribution Limits
Public
Copyright
Work of the US Gov. Public Use Permitted.
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