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Strain-rate-dependent constitutive and damage models for a low-yielding-strength steel under dynamic loadings

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Abstract

The low-yielding-strength (LYS) steel is promising for energy-absorbing devices due to its outstanding plasticity. Although the mechanical properties of LYS steel for quasi-static and ultra-high-rate were studied, the link between them has not been established yet. Here we report both experiments and numerical simulations on the dynamic behavior of a LYS steel (quasi-static yielding stress > 225 MPa, LYS225) under moderate dynamic loadings, which covers the typical range of strain rate in engineering applications. Our results quantify the rate effect of LYS225 under moderate loading speed, and the strain-rate dependent constitutive and damage models are proposed. Moreover, the stress and strain concentration for elliptic-holed LYS225 plate is numerically analyzed based on the proposed constitutive model, which shows significant difference compared to the static solutions. This work could bridge the gap between their quasi-static and ultra-high-rate properties, thereby improve the designing precision of LYS steel-based energy-absorbing structures.

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Abbreviations

E :

Young’s modulus

σ b :

Yielding stress

σ s :

Ultimate strength

σ :

Von Mises flow stress

ε :

Equivalent plastic strain

\(\dot{\varepsilon}\) :

Plastic strain rate

\(\dot{\varepsilon}^{\star}\) :

Dimensionless plastic strain rate

ε m :

Average of the three normal stresses

\(\bar{\sigma}\) :

Von Mises equivalent stress

ε*:

Dimensionless pressure-stress ratio

ε f :

Equivalent strain to fracture

K σ :

Stress concentration factor

K ε :

Strain concentration factor

(K σ)mp :

The values at the mid-plane (z = 0) of Kσ

(K ε)mp :

The values at the mid-plane (z = 0) of Kε

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Acknowledgments

The authors gratefully acknowledge the financial support by the National Natural Science Foundation of China (Grant No. 11972171), the Postdoctoral Science Foundation of China (Grant No. 2018M630513), the Natural Science Foundation of Jiangsu Province (Grant No. BK20180031), the 111 project (Grant No. B18027).

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Authors and Affiliations

  1. Jiangsu Key Laboratory of Advanced Food Manufacturing Equipment and Technology, School of Mechanical Engineering, Jiangnan University, Wuxi, 214122, China

    Peishi Yu, Jin Zhang, Chaofeng Zhang & Junhua Zhao

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  1. Peishi Yu
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  2. Jin Zhang
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  3. Chaofeng Zhang
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  4. Junhua Zhao
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Correspondence to Junhua Zhao.

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Peishi Yu is an Associate Professor of Mechanical Engineering in Jiangnan University, Wuxi, China. He received his Ph.D. in Nanjing University of Aeronautics and Astronautics, Nanjing, China. His research centers on the dynamic properties of ductile materials and fatigue and fracture of engineering structures.

Junhua Zhao is a Professor of Mechanical Engineering in Jiangnan University, Wuxi, China. He received his first Ph.D. in Nanjing University of Aeronautics and Astronautics, Nanjing China and the second Ph.D. in Bauhaus University, Weimar, Germany. His research interests include the multiscale fracture mechanics of solids and structures and coarse-grained method for multiscale simulation.

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Yu, P., Zhang, J., Zhang, C. et al. Strain-rate-dependent constitutive and damage models for a low-yielding-strength steel under dynamic loadings. J Mech Sci Technol 35, 4405–4417 (2021). https://doi.org/10.1007/s12206-021-0911-7

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