Crystal Plasticity Analysis of Dissipation under Low-Amplitude Cyclic Loading: From Slip-Band Activation to Self-Heating Curves
Abstract
Dissipation analysis under low-amplitude cyclic loading, commonly referred to as self-heating measurements, is an increasingly used experimental method for estimating high-cycle fatigue (HCF) properties. While a two-scale probabilistic model (Poisson point process, PPP) successfully links self-heating curves to HCF scatter, the physical nature of the postulated plastic activation sites has never been examined through full-field polycrystalline simulations. This work addresses this gap by introducing an explicit lamellar representation of slip bands within individual grains of a polycrystalline representative volume element, combining FFT-based crystal plasticity with grain-scale variability of the critical resolved shear stress. This lamella-scale framework captures the heterogeneous and progressive onset of microplasticity under uniaxial cyclic loading (R = −1). The main results are threefold: (i) the number of plastically active lamellae follows a power-law distribution in stress amplitude, in quantitative agreement with the PPP hypothesis; (ii) the mean steady-state dissipation per cycle reproduces the secondary regime of experimental self-heating curves; (iii) a fatigue indicator parameter (FIP) based on cumulative plastic slip at the lamella scale exhibits a Weibull-type scatter whose shape parameter is consistent with experimental HCF variability. These results provide a microstructural justification for the assumptions of the two-scale probabilistic model and establish a physically grounded connection between slip-band activation, self-heating measurements, and HCF scatter.
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BibTeX
@article{souza2026crystal,
title = {{Crystal Plasticity Analysis of Dissipation under Low-Amplitude Cyclic Loading: From Slip-Band Activation to Self-Heating Curves}},
author = {A. Calazans Menescal De Souza and S. Moyne and C. Doudard and L. Saint-Sulpice and S. Calloch},
journal = {International Journal of Plasticity},
year = {2026},
month = oct,
doi = {10.1016/j.ijplas.2026.104860},
url = {https://hal.science/hal-05794223v1},
note = {CC BY 4.0},
}
RIS
TY - JOUR
TI - Crystal Plasticity Analysis of Dissipation under Low-Amplitude Cyclic Loading: From Slip-Band Activation to Self-Heating Curves
AU - A. Calazans Menescal De Souza
AU - S. Moyne
AU - C. Doudard
AU - L. Saint-Sulpice
AU - S. Calloch
PY - 2026
DA - 2026/10/09
JO - International Journal of Plasticity
DO - 10.1016/j.ijplas.2026.104860
UR - https://hal.science/hal-05794223v1
AB - Dissipation analysis under low-amplitude cyclic loading, commonly referred to as self-heating measurements, is an increasingly used experimental method for estimating high-cycle fatigue (HCF) properties. While a two-scale probabilistic model (Poisson point process, PPP) successfully links self-heating curves to HCF scatter, the physical nature of the postulated plastic activation sites has never been examined through full-field polycrystalline simulations. This work addresses this gap by introducing an explicit lamellar representation of slip bands within individual grains of a polycrystalline representative volume element, combining FFT-based crystal plasticity with grain-scale variability of the critical resolved shear stress. This lamella-scale framework captures the heterogeneous and progressive onset of microplasticity under uniaxial cyclic loading (R = −1). The main results are threefold: (i) the number of plastically active lamellae follows a power-law distribution in stress amplitude, in quantitative agreement with the PPP hypothesis; (ii) the mean steady-state dissipation per cycle reproduces the secondary regime of experimental self-heating curves; (iii) a fatigue indicator parameter (FIP) based on cumulative plastic slip at the lamella scale exhibits a Weibull-type scatter whose shape parameter is consistent with experimental HCF variability. These results provide a microstructural justification for the assumptions of the two-scale probabilistic model and establish a physically grounded connection between slip-band activation, self-heating measurements, and HCF scatter.
SN - 0749-6419
ER -