Projects per year
Abstract
A new mathematical modelling framework for simulation of metal cyclic plasticity is proposed and experimental validation based on tension-compression cyclic testing of S355J2 low carbon structural steel presented over the two parts of this paper. The advantages and limitations of the stress-strain curve shape modelling given by "Armstrong and Frederick" type hardening rules are discussed and a new formulation for kinematic hardening is proposed for more accurate representation of the stress-strain dependence under cyclic loading conditions. The proposed model is shown to describe the shape of the stress-strain curve accurately under various different loading conditions. Transition effects occurring at loading reversals are incorporated through a new framework of Dirac delta functions. In addition to the yield surface, stress supersurfaces able to expand and instantly move to simulate a shift of stress-strain curves during loading reversals are determined. This also enables inclusion of the behavior of monotonic stress-strain curves with yield plateau deformation in one mathematical model. The influence of the first stress invariant on the shape of a stress-strain curve in tension and compression directions observed in many metals is incorporated into the kinematic hardening rule. The ability of the model to accurately describe transition from elastic to elastic-plastic deformation at small offset strain yield points naturally accounts for nonlinearity of an unloading stress-strain curve after plastic pre-strain. Development of the model to include mixed cyclic hardening/softening, ratcheting and mean stress relaxation is presented in a companion paper (Part II), which includes experimental validation of the modelling framework.
Original language | English |
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Pages (from-to) | 89-114 |
Number of pages | 26 |
Journal | International Journal of Plasticity |
Volume | 122 |
Early online date | 11 Jul 2019 |
DOIs | |
Publication status | Published - 30 Nov 2019 |
Keywords
- cyclic plasticity
- nonlinear kinematic hardening
- low carbon steel
- Dirac delta function
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Projects
- 1 Finished
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APESA (H2020 MSCA EID)
MacKenzie, D. (Principal Investigator), Comlekci, T. (Co-investigator), Dempster, W. (Co-investigator), Galloway, A. (Co-investigator), Stack, M. (Co-investigator), Stickland, M. (Co-investigator) & Thomason, J. (Co-investigator)
European Commission - Horizon Europe + H2020
1/06/15 → 31/05/19
Project: Research
Equipment
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Advanced Materials Research Laboratory (AMRL)
Mechanical And Aerospace EngineeringFacility/equipment: Facility
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Alicona Measurement
Hutchison, M. (Manager)
Advanced Forming Research CentreFacility/equipment: Equipment
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New formulation of nonlinear kinematic hardening model, part II: cyclic hardening/softening and ratcheting
Okorokov, V., Gorash, Y., MacKenzie, D. & van Rijswick , R., 30 Nov 2019, In: International Journal of Plasticity. 122, p. 244-257 14 p.Research output: Contribution to journal › Article › peer-review
Open AccessFile22 Citations (Scopus)210 Downloads (Pure) -
High cycle fatigue analysis in the presence of autofrettage compressive residual stress
Okorokov, V., MacKenzie, D., Gorash, Y., Morgantini, M., van Rijswick, R. & Comlekci, T., 30 Nov 2018, In: Fatigue and Fracture of Engineering Materials and Structures. 41, 11, p. 2305-2320 16 p.Research output: Contribution to journal › Article › peer-review
Open AccessFile11 Citations (Scopus)135 Downloads (Pure) -
Fatigue and corrosion fatigue life assessment with application to autofrettaged parts
Okorokov, V., MacKenzie, D. & Gorash, Y., 20 Jul 2018, ASME 2018 Pressure Vessels and Piping Conference: Volume 5: High-Pressure Technology; ASME Nondestructive Evaluation, Diagnosis and Prognosis Division (NDPD). New York, 6 p.Research output: Chapter in Book/Report/Conference proceeding › Conference contribution book
Open AccessFile2 Citations (Scopus)33 Downloads (Pure)