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<p>In tube forming, springback poses a notable obstacle, affecting the precision of the final product. Employing hyperelastic materials, such as polyurethane, inside the tube can reduce springback during the bending process. This research investigates the interplay between a flexible tube and hyperelastic material in tube bending, focusing on springback behavior and hyperelastic constitutive models. Compression tests were performed on polyurethane to derive mathematical constants for various hyperelastic models. Additionally, finite element simulations and experimental trials of tube bending were carried out using different materials across several phases. By integrating hyperelastic material into the bending process, springback was evaluated and compared with simulation outcomes. Results indicate that the Mooney–Rivlin model provided the highest accuracy, with an average error of 4.6% in springback prediction. The Ogden model followed closely, with a mean error of 6.85% compared to experimental data. In contrast, the Neo-Hookean model showed considerable deviations, making it less suitable for predicting springback in polyurethane-assisted tube bending. Material constants for the polyurethane were determined across different strain ranges, with the (0.2–0.4) strain range yielding the lowest prediction error (approximately 7.6%) compared to other ranges.</p>

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Comparative Study of Hyperelastic Material Constitutive Models on Tube Bending Springback: Experimental and Numerical Insights

  • 期刊论文

  • 发表日期：

    2025年12月8日

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  • Majid Askari Sayar,
  • Mahdi Gerdooei,
  • Hasan Ghafourian Nosrati,
  • Hamidreza Eipakchi

摘要

In tube forming, springback poses a notable obstacle, affecting the precision of the final product. Employing hyperelastic materials, such as polyurethane, inside the tube can reduce springback during the bending process. This research investigates the interplay between a flexible tube and hyperelastic material in tube bending, focusing on springback behavior and hyperelastic constitutive models. Compression tests were performed on polyurethane to derive mathematical constants for various hyperelastic models. Additionally, finite element simulations and experimental trials of tube bending were carried out using different materials across several phases. By integrating hyperelastic material into the bending process, springback was evaluated and compared with simulation outcomes. Results indicate that the Mooney–Rivlin model provided the highest accuracy, with an average error of 4.6% in springback prediction. The Ogden model followed closely, with a mean error of 6.85% compared to experimental data. In contrast, the Neo-Hookean model showed considerable deviations, making it less suitable for predicting springback in polyurethane-assisted tube bending. Material constants for the polyurethane were determined across different strain ranges, with the (0.2–0.4) strain range yielding the lowest prediction error (approximately 7.6%) compared to other ranges.