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Numerical Formulation of Anisotropic Elastoplastic Behavior Coupled with Damage Model in Forming Processes

Author

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  • Lotfi Ben Said

    (Department of Mechanical Engineering, College of Engineering, Ha’il University, Ha’il City 81451, Saudi Arabia
    Laboratory of Electrochemistry and Environment (LEE), National Engineering School of Sfax, (ENIS), University of Sfax, Sfax 3038, Tunisia)

  • Marwa Allouch

    (Laboratory of Electrochemistry and Environment (LEE), National Engineering School of Sfax, (ENIS), University of Sfax, Sfax 3038, Tunisia)

  • Mondher Wali

    (Laboratory of Electrochemistry and Environment (LEE), National Engineering School of Sfax, (ENIS), University of Sfax, Sfax 3038, Tunisia)

  • Fakhreddine Dammak

    (Laboratory of Electrochemistry and Environment (LEE), National Engineering School of Sfax, (ENIS), University of Sfax, Sfax 3038, Tunisia)

Abstract

The present paper proposes a mathematical development of the plasticity and damage approaches to simulate sheet metal forming processes. It focuses on the numerical prediction of the deformation of the sheet metal during the deep drawing process when a crack appears. Anisotropic plasticity constitutive equations are proposed. A fully implicit integration of the coupling constitutive equations is used and leads to two nonlinear local scalar equations that are solved by Newton’s method. The developed model allows predicting the onset of cracks in sheet metals during cold forming operations. The numerical model is implemented in ABAQUS software using user-defined subroutines, which are VUMAT and UMAT. The accuracy of the anisotropic elastoplastic model fully coupled with ductile damage is evaluated using numerical examples.

Suggested Citation

  • Lotfi Ben Said & Marwa Allouch & Mondher Wali & Fakhreddine Dammak, 2022. "Numerical Formulation of Anisotropic Elastoplastic Behavior Coupled with Damage Model in Forming Processes," Mathematics, MDPI, vol. 11(1), pages 1-16, December.
    • Handle: RePEc:gam:jmathe:v:11:y:2022:i:1:p:204-:d:1020865
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    References listed on IDEAS

    as
    1. Kewei Liu & Shaobo Jin & Yichao Rui & Jin Huang & Zhanxing Zhou, 2022. "Effect of Lithology on Mechanical and Damage Behaviors of Concrete in Concrete-Rock Combined Specimen," Mathematics, MDPI, vol. 10(5), pages 1-17, February.
    2. Lotfi Ben Said & Mondher Wali, 2022. "Accuracy of Variational Formulation to Model the Thermomechanical Problem and to Predict Failure in Metallic Materials," Mathematics, MDPI, vol. 10(19), pages 1-23, September.
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