Complete implicit stress integration algorithm with extended subloading surface model for elastoplastic deformation analysis

Summary The subloading surface model released from a purely elastic domain is capable of describing not only monotonic but also cyclic loading behaviors accurately. It is expected that elastoplastic deformation analyses can be performed with high accuracy and efficiency by the complete implicit stre...

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Bibliographic Details
Published in:International journal for numerical methods in engineering Vol. 121; no. 5; pp. 945 - 966
Main Authors: Anjiki, Takuya, Oka, Masanori, Hashiguchi, Koichi
Format: Journal Article
Language:English
Published: Hoboken, USA John Wiley & Sons, Inc 15.03.2020
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Subjects:
Algorithms
Computer simulation
consistent tangent modulus tensor
Criteria
Cyclic loads
Cylinders
Deformation analysis
Elastic deformation
Elastoplasticity
Finite element method
loading criterion
Mapping
Mathematical models
Plastic deformation
return‐mapping projection
Strain rate
ISSN:0029-5981, 1097-0207
Online Access:Get full text
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Summary:Summary The subloading surface model released from a purely elastic domain is capable of describing not only monotonic but also cyclic loading behaviors accurately. It is expected that elastoplastic deformation analyses can be performed with high accuracy and efficiency by the complete implicit stress integration algorithm with a return‐mapping projection. Various implicit stress integration algorithms for the subloading surface model have been proposed. However, they are applicable only to the monotonic loading behavior since they adopt the incorrect loading criterion presuming that the subloading surface expands in the plastic loading process. In fact, however, the plastic strain rate is induced even when the subloading surface contracts in the elastic trial step. Therefore, erroneous results in the descriptions of unloading‐reloading and cyclic loading behaviors are caused in the calculations with the existing algorithms. The complete implicit stress integration method is formulated adopting the rigorous loading criterion and implemented in Abaqus in this study. Numerical analyses for the elastoplastic deformation behaviors in the single‐element are performed by the present and the existing algorithms. In addition, the deformation analysis of the R‐notched cylinder is performed by the present algorithm. High performability of the present algorithm is confirmed by these numerical calculation results.
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ISSN:0029-5981
1097-0207
DOI:10.1002/nme.6252