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Stress Recovery and Error Estimation for Shell StructuresThe Penalized Discrete Least-Squares (PDLS) stress recovery (smoothing) technique developed for two dimensional linear elliptic problems is adapted here to three-dimensional shell structures. The surfaces are restricted to those which have a 2-D parametric representation, or which can be built-up of such surfaces. The proposed strategy involves mapping the finite element results to the 2-D parametric space which describes the geometry, and smoothing is carried out in the parametric space using the PDLS-based Smoothing Element Analysis (SEA). Numerical results for two well-known shell problems are presented to illustrate the performance of SEA/PDLS for these problems. The recovered stresses are used in the Zienkiewicz-Zhu a posteriori error estimator. The estimated errors are used to demonstrate the performance of SEA-recovered stresses in automated adaptive mesh refinement of shell structures. The numerical results are encouraging. Further testing involving more complex, practical structures is necessary.
Document ID
20000050368
Acquisition Source
Langley Research Center
Document Type
Reprint (Version printed in journal)
Authors
Yazdani, A. A.
(Hawaii Univ. Honolulu, HI United States)
Riggs, H. R.
(Hawaii Univ. Honolulu, HI United States)
Tessler, A.
(NASA Langley Research Center Hampton, VA United States)
Date Acquired
August 19, 2013
Publication Date
January 1, 2000
Publication Information
Publication: International Journal for Numerical Methods in Engineering
Publisher: Wiley (John) and Sons Ltd.
Volume: 47
Subject Category
Structural Mechanics
Funding Number(s)
CONTRACT_GRANT: NAG1-1850
Distribution Limits
Public
Copyright
Other

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