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Modelling of cyclic creep in the finite strain range using a nested split of the deformation gradient Full article

Journal ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik
ISSN: 0044-2267
Output data Year: 2017, Volume: 97, Number: 9, Pages: 1083-1099 Pages count : 17 DOI: 10.1002/zamm.201600286
Tags Cyclic creep, finite strain, nested multiplicative split, creep anisotropy, Kachanov-Rabotnov damage.
Authors Shutov A.V. 1,2 , Larichkin A.Yu. 1,2 , Shutov V.A. 3
Affiliations
1 Lavrentyev Institute of Hydrodynamics
2 Novosibirsk State University
3 Novosibirsk State University of Architecture, Design and Arts

Abstract: A new phenomenological model of cyclic creep, which is suitable for applications involving finite creep deformations of the material, is proposed. The model accounts for the effect of the transient increase of the creep strain rate upon the load reversal. In order to extend the applicability range of the model, the creep process is fully coupled to the classical Kachanov-Rabotnov damage evolution. As a result, the proposed model describes all the three stages of creep. Large strain kinematics is described in a geometrically exact manner using the assumption of a nested multiplicative split, originally proposed by Lion for finite strain plasticity. The model is thermodynamically admissible, objective, and w-invariant. The implicit time integration of the proposed evolution equations is discussed. The corresponding numerical algorithm is implemented into the commercial FEM code MSC.Marc. The model is validated using this code; the validation is based on real experimental data on cyclic torsion of a thick-walled tubular specimen made of the D16T aluminium alloy. The numerically computed stress distribution exhibits a “skeletal point” within the specimen, which simplifies the analysis of test data.
Cite: Shutov A.V. , Larichkin A.Y. , Shutov V.A.
Modelling of cyclic creep in the finite strain range using a nested split of the deformation gradient
ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik. 2017. Т.97. №9. С.1083-1099. DOI: 10.1002/zamm.201600286 WOS Scopus РИНЦ OpenAlex
Identifiers:
Web of science: WOS:000407481300008
Scopus: 2-s2.0-85017513509
Elibrary: 31028612
OpenAlex: W2606579775
Citing:
DB Citing
Scopus 23
OpenAlex 23
Elibrary 22
Web of science 18
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