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<p>Magnesium alloys are widely used in the aerospace, automotive, and biomedical fields due to their lightweight and better mechanical properties. Understanding the mechanical behavior of biodegradable magnesium alloys through mathematical modeling is essential for maximizing their functionality. The present work aims to model the mechanical behavior of the magnesium alloy ZE41A based on the hybrid Johnson–Cook constitutive model (HJCCM). To develop the HJCCM, the conventional JCCM was modified with the Cowper Symonds (CS) constitutive model's strain rate component and Zerilli Amstrong temperature term. To estimate the constitutive model parameters of the HJCCM, ZE41A Mg alloy undergoes a sequence of uniaxial tensile tests under different stains and temperatures. The constitutive model’s predictability was compared with the experimental data using the mean error value between the experimentally observed and predicted yield stress by considering 0.001/s as the reference strain rate. It was noticed that the Jhonson cook combined with Cowper Symonds has good predictability with the mean absolute error in the range of 17 and 21&#xa0;MPa for 0.01/s and 0.1/s strain rates, respectively. Johnson Cook combined with modified Zerilli Armstrong has a better predictability with the mean absolute error in the range of 4 to 8&#xa0;MPa at different temperatures than the conventional Johnson–Cook model and is found to be a promising constitutive model for predicting and simulating the behavior of ZE41A Mg alloy under various conditions.</p> Graphical Abstract <p></p>

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Johnson Cook with Cowper Symonds and modified Zerilli Amstrong constitutive model for ZE41A Mg alloy

  • 期刊论文

  • 发表日期：

    2025年12月12日

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  • Devara Venkata Krishna,
  • Ajay Kumar,
  • Palivela Bhargav Chandan,
  • Tadi Siva Prasad,
  • Mamilla Ravi Sankar

摘要

Magnesium alloys are widely used in the aerospace, automotive, and biomedical fields due to their lightweight and better mechanical properties. Understanding the mechanical behavior of biodegradable magnesium alloys through mathematical modeling is essential for maximizing their functionality. The present work aims to model the mechanical behavior of the magnesium alloy ZE41A based on the hybrid Johnson–Cook constitutive model (HJCCM). To develop the HJCCM, the conventional JCCM was modified with the Cowper Symonds (CS) constitutive model's strain rate component and Zerilli Amstrong temperature term. To estimate the constitutive model parameters of the HJCCM, ZE41A Mg alloy undergoes a sequence of uniaxial tensile tests under different stains and temperatures. The constitutive model’s predictability was compared with the experimental data using the mean error value between the experimentally observed and predicted yield stress by considering 0.001/s as the reference strain rate. It was noticed that the Jhonson cook combined with Cowper Symonds has good predictability with the mean absolute error in the range of 17 and 21 MPa for 0.01/s and 0.1/s strain rates, respectively. Johnson Cook combined with modified Zerilli Armstrong has a better predictability with the mean absolute error in the range of 4 to 8 MPa at different temperatures than the conventional Johnson–Cook model and is found to be a promising constitutive model for predicting and simulating the behavior of ZE41A Mg alloy under various conditions.

Graphical Abstract