Nonlinear visco-elasto-plastic model for the stress-strain and stress-relaxation in metallic glass
Abstract
We develop a nonlinear visco-elasto-plastic (VEP) model for the stress-strain response of metallic glasses by connecting the deformation dynamics with the material relaxation time obtained from independent stress-relaxation measurements. The material is modeled as a Maxwell-type element, with a nonlinear elastic spring and a stretched-exponential dashpot whose behavior is determined from the separate stress-relaxation data. The model captures the effects of temperature and strain rate on the initial elastic response, stress overshoot, post-yield softening, and steady flow. We independently determine the reference material-time function X0(ε) from the stress-relaxation response and the nonlinear material-time variable X(ε) from the elastic-viscoplastic strain decomposition based on the stress-strain response. We introduce an Eyring-type function or material-time ratio ϕ(ε)=X(ε)/X0(ε) which quantifies the change of relaxation dynamics during nonlinear deformation. Our model provides a simple connection between structural relaxation and yielding in metallic glasses.
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BibTeX
@misc{singh2026nonlinear,
title = {{Nonlinear visco-elasto-plastic model for the stress-strain and stress-relaxation in metallic glass}},
author = {Ankit Singh and Alessio Zaccone and Oleg Gendelman and Valeriy V. Ginzburg},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.40916},
eprint = {2610.40916},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.40916},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Nonlinear visco-elasto-plastic model for the stress-strain and stress-relaxation in metallic glass
AU - Ankit Singh
AU - Alessio Zaccone
AU - Oleg Gendelman
AU - Valeriy V. Ginzburg
PY - 2026
DA - 2026/10/29
PB - arXiv
DO - 10.48550/arxiv.2610.40916
UR - https://arxiv.org/abs/2610.40916
AB - We develop a nonlinear visco-elasto-plastic (VEP) model for the stress-strain response of metallic glasses by connecting the deformation dynamics with the material relaxation time obtained from independent stress-relaxation measurements. The material is modeled as a Maxwell-type element, with a nonlinear elastic spring and a stretched-exponential dashpot whose behavior is determined from the separate stress-relaxation data. The model captures the effects of temperature and strain rate on the initial elastic response, stress overshoot, post-yield softening, and steady flow. We independently determine the reference material-time function X_0(ε) from the stress-relaxation response and the nonlinear material-time variable X(ε) from the elastic-viscoplastic strain decomposition based on the stress-strain response. We introduce an Eyring-type function or material-time ratio ϕ(ε)=X(ε)/X_0(ε) which quantifies the change of relaxation dynamics during nonlinear deformation. Our model provides a simple connection between structural relaxation and yielding in metallic glasses.
ER -