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Simplified Theory of Plastic Zones for cyclic loading and multilinear hardening

  • The Simplified Theory of Plastic Zones (STPZ) is a direct method based on Zarka's method, primarily developed to estimate post-shakedown quantities of structures under cyclic loading, avoiding incremental analyses through a load histogram. In a different paper the STPZ has previously been shown to provide excellent estimates of the elastic–plastic strain ranges in the state of plastic shakedown as required for fatigue analyses. In the present paper, it is described how the STPZ can be used to predict the strains accumulated through a number of loading cycles due to a ratcheting mechanism, until either elastic or plastic shakedown is achieved, so that strain limits can be satisfied. Thus, a consistent means of estimating both, strain ranges and accumulated strains is provided for structural integrity assessment as required by pressure vessel codes. The computational costs involved typically consist of few linear elastic analyses and some local calculations. Multilinear kinematic hardening and temperature dependent yield stresses areThe Simplified Theory of Plastic Zones (STPZ) is a direct method based on Zarka's method, primarily developed to estimate post-shakedown quantities of structures under cyclic loading, avoiding incremental analyses through a load histogram. In a different paper the STPZ has previously been shown to provide excellent estimates of the elastic–plastic strain ranges in the state of plastic shakedown as required for fatigue analyses. In the present paper, it is described how the STPZ can be used to predict the strains accumulated through a number of loading cycles due to a ratcheting mechanism, until either elastic or plastic shakedown is achieved, so that strain limits can be satisfied. Thus, a consistent means of estimating both, strain ranges and accumulated strains is provided for structural integrity assessment as required by pressure vessel codes. The computational costs involved typically consist of few linear elastic analyses and some local calculations. Multilinear kinematic hardening and temperature dependent yield stresses are accounted for. The quality of the results and the computational burden involved are demonstrated through four examples.show moreshow less

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Metadaten
Author: Hartwig HübelORCiDGND
URL:http://www.sciencedirect.com/science/article/pii/S0308016115000289
DOI:https://doi.org/10.1016/j.ijpvp.2015.03.002
ISSN:0308-0161
Title of the source (English):International Journal of Pressure Vessels and Piping
Document Type:Scientific journal article peer-reviewed
Language:English
Year of publication:2015
Tag:Ratcheting; Shakedown; Simplified Theory of Plastic Zones; cyclic loading; elastic-plastic strain range; progressive deformation
Issue number:129-130
First Page:19
Last Page:31
Faculty/Chair:Fakultät 6 Architektur, Bauingenieurwesen und Stadtplanung / FG Baustatik, Stahlbau, FEM
Institution name at the time of publication:Fakultät für Bauen (eHL) / Prof. Baustatik, Stahlbau, FEM
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