Research output: Contribution to journal › Article › peer-review
Modelling of cyclic creep in the finite strain range using a nested split of the deformation gradient. / Shutov, Alexey V.; Larichkin, Alexey Yu; Shutov, Valeriy A.
In: ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik, Vol. 97, No. 9, 09.2017, p. 1083-1099.Research output: Contribution to journal › Article › peer-review
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TY - JOUR
T1 - Modelling of cyclic creep in the finite strain range using a nested split of the deformation gradient
AU - Shutov, Alexey V.
AU - Larichkin, Alexey Yu
AU - Shutov, Valeriy A.
N1 - Publisher Copyright: © 2017 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim
PY - 2017/9
Y1 - 2017/9
N2 - 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.
AB - 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.
KW - 74C20
KW - 74D10
KW - 74E10
KW - 74S05
KW - creep anisotropy
KW - Cyclic creep
KW - finite strain
KW - Kachanov-Rabotnov damage
KW - nested multiplicative split
KW - BEHAVIOR
KW - TENSION
KW - VISCOPLASTICITY
KW - SIMULATION
KW - DAMAGE
KW - HARDENING RULE
KW - STAINLESS-STEEL
KW - INTEGRATION
KW - CONSTITUTIVE-EQUATIONS
KW - STRESS
UR - http://www.scopus.com/inward/record.url?scp=85017513509&partnerID=8YFLogxK
U2 - 10.1002/zamm.201600286
DO - 10.1002/zamm.201600286
M3 - Article
AN - SCOPUS:85017513509
VL - 97
SP - 1083
EP - 1099
JO - ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik
JF - ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik
SN - 0044-2267
IS - 9
ER -
ID: 10264229