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 -