一种修正双曲外推模型及其在应力松弛内应力预测中应用的研究

doi:10.11896/cldb.24120229

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Abstract During stress relaxation, the thermal internal stress is essential for understanding how the internal microstructure of the material evolves and how stress relaxation proceeds. The average dislocation velocity model and the hyperbolic extrapolation model can provide reference predictions of internal stress under certain conditions. However, these common models do not fully account for changes in dislocation density and the time-dependent evolution of internal stress during relaxation. As a result, predictions of internal stress under different pre-strain levels may be inaccurate or overestimated due to the insufficient consideration of strain-hardening effects. To improve the accuracy of predicting internal stress under varying pre-strain levels, this study proposes a modified hyperbolic extrapolation model by introducing a correction factor κ. This modification optimizes the hardening behavior during stress relaxation at different pre-strain levels, bringing the predicted internal stress values closer to experimental measurements of the instantaneous stress drop and significantly enhancing adaptability and predictive accuracy of the model.

Key words： stress relaxation internal stress average dislocation velocity model hyperbolic extrapolation model

Published: 25 February 2026 Online: 2026-02-13

CLC number:

TG142.73

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	Articles by authors
	KANG Wen
	CAO Tieshan
	CHENG Congqian
	ZHAO Jie

Cite this article:

KANG Wen,CAO Tieshan,CHENG Congqian, et al. Study on a Modified Hyperbolic Extrapolation Model for Predicting Internal Stress in Stress Relaxation[J]. Materials Reports, 2026, 40(4): 24120229-6.

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https://www.mater-rep.com/EN/10.11896/cldb.24120229 OR https://www.mater-rep.com/EN/Y2026/V40/I4/24120229

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