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Simulation of Autofrettage in Curvilinear Coordinates
Author(s) -
Müller Wolfgang H.,
Reich Felix A.
Publication year - 2014
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201410206
Subject(s) - curvilinear coordinates , autofrettage , discretization , cartesian coordinate system , pressure vessel , morpholine , computer science , structural engineering , mathematics , mathematical analysis , mechanical engineering , geometry , engineering , chemistry , medicinal chemistry
Abstract Pressure vessels subjected to high mechanical loadings can fail due to microscopic crack growth, i.e., stress corrosion cracking. A popular way to increase the crack resistance of a structure is by autofrettage. The standard approach to obtain a numerical solution for the involved fields is to discretize w.r.t. Cartesian coordinates as implemented in common commercial FE programs. However, this approach is computationally costly in comparison to pure elastic simulations—often rendering this method practically unfeasible. The current work shows that autofrettage can be simulated more efficiently in extensive bodies that can be described by a bijective map where certain symmetries are available in load and form. The discretization and the mathematical formalism of this approach in curvilinear coordinates are described. (© 2014 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)