TY - JOUR

T1 - Combined experimental/theoretical approach to residual stresses within multiplicative elasto-plasticity

AU - Tagiltsev, I. I.

AU - Shutov, A. V.

N1 - Funding Information: This research was funded by the Ministry of Science and Higher Education of the Russian Federation (project No 075-15-2020-781). Publisher Copyright: © 2022 Elsevier Ltd

PY - 2022/11/1

Y1 - 2022/11/1

N2 - The study is devoted to geometrically non-linear modelling of viscoplastic structures with residual stresses. We advocate and develop a special approach to residual stresses based on the transition between reference configurations. The finite strain kinematics of the viscoplastic material is modelled by the multiplicative decomposition of the deformation gradient tensor. Numerical algorithms originally developed for unstressed materials are extended to materials with pre-stresses. Owing to the weak invariance of constitutive equations, the incorporation of pre-stresses happens without additional costs. Thus, the advocated approach is especially efficient. A novel experimental/theoretical method for assessment of residual stresses in welded structures is presented; the method combines advantages of purely experimental and theoretical approaches. To demonstrate the applicability of the proposed procedure, we simulate plate welding. As an example we show that the procedure allows extrapolation of the field of residual stresses away from the measurement points. As another example, we address the reduction of weldment-related residual stresses by mechanical treatment.

AB - The study is devoted to geometrically non-linear modelling of viscoplastic structures with residual stresses. We advocate and develop a special approach to residual stresses based on the transition between reference configurations. The finite strain kinematics of the viscoplastic material is modelled by the multiplicative decomposition of the deformation gradient tensor. Numerical algorithms originally developed for unstressed materials are extended to materials with pre-stresses. Owing to the weak invariance of constitutive equations, the incorporation of pre-stresses happens without additional costs. Thus, the advocated approach is especially efficient. A novel experimental/theoretical method for assessment of residual stresses in welded structures is presented; the method combines advantages of purely experimental and theoretical approaches. To demonstrate the applicability of the proposed procedure, we simulate plate welding. As an example we show that the procedure allows extrapolation of the field of residual stresses away from the measurement points. As another example, we address the reduction of weldment-related residual stresses by mechanical treatment.

KW - Experimental/theoretical analysis

KW - Multiplicative elasto-plasticity

KW - Residual stresses

KW - Weak invariance

KW - Weldments

UR - http://www.scopus.com/inward/record.url?scp=85136152223&partnerID=8YFLogxK

U2 - 10.1016/j.ijsolstr.2022.111924

DO - 10.1016/j.ijsolstr.2022.111924

M3 - Article

AN - SCOPUS:85136152223

VL - 254-255

JO - International Journal of Solids and Structures

JF - International Journal of Solids and Structures

SN - 0020-7683

M1 - 111924

ER -