Recovering local equilibrium from three‐dimensional compatible finite element solutions

SUMMARY We study the application to compressible and incompressible three‐dimensional elasticity problems of the technique that we proposed in 2009 for the recovery of equilibrated stresses from compatible finite element solutions. The case of finite elements with linear displacement approximations,...

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Bibliographic Details
Published in:International journal for numerical methods in engineering Vol. 121; no. 12; pp. 2783 - 2805
Main Authors: Moitinho de Almeida, J. P., Maunder, E. A. W.
Format: Journal Article
Language:English
Published: Bognor Regis Wiley Subscription Services, Inc 30.06.2020
Subjects:
Balancing
Compressibility
dual analysis
equilibrium finite elements
error bounds
finite elements
incompressibility
solid mechanics
ISSN:0029-5981, 1097-0207
Online Access:Get full text
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Summary:SUMMARY We study the application to compressible and incompressible three‐dimensional elasticity problems of the technique that we proposed in 2009 for the recovery of equilibrated stresses from compatible finite element solutions. The case of finite elements with linear displacement approximations, for which the partitioned systems of loads are not initially balanced in terms of rotational equilibrium, addressed in 2012, is also considered. The article includes a presentation of the implementation details, a study of the convergence in terms of the energy of the error, and a characterization of the solutions obtained.
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ISSN:0029-5981
1097-0207
DOI:10.1002/nme.6332