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Accuracy of Variational Formulation to Model the Thermomechanical Problem and to Predict Failure in Metallic Materials

Author

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  • Lotfi Ben Said

    (Department of Mechanical Engineering, College of Engineering, Ha’il University, Ha’il City 81451, Saudi Arabia
    Electro-Mechanical System’s Laboratory (LASEM), National Engineering School of Sfax, University of Sfax, B.P. 1173, Sfax 3038, Tunisia)

  • Mondher Wali

    (Electro-Mechanical System’s Laboratory (LASEM), National Engineering School of Sfax, University of Sfax, B.P. 1173, Sfax 3038, Tunisia)

Abstract

The main purpose of this study is to develop a variational formulation for predicting structure behavior and accounting for damage mechanics in metallic materials. Mechanical and coupled thermomechanical models are used to predict failure in manufacturing processes. Ductile failure is accompanied by a significant amount of plastic deformation in metallic structural components. Finite element simulation of damage evolution in ductile solids is presented in this paper. Uncoupled models are implemented in a finite element model simulating deep drawing as well as cutting processes. Based on the Johnson–Cook model, the effect of deformation on the evolution of flow stress is described. The combined effect of strain, strain rate, and temperature on plasticity and damage behavior in cutting processes is considered. The accuracy of these models is verified when predicting ductile damage in forming and cutting processes.

Suggested Citation

  • 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.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:19:p:3555-:d:929052
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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. Andrej Škrlec & Jernej Klemenc, 2020. "Estimating the Strain-Rate-Dependent Parameters of the Johnson-Cook Material Model Using Optimisation Algorithms Combined with a Response Surface," Mathematics, MDPI, vol. 8(7), pages 1-17, July.
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    Citations

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    Cited by:

    1. Lotfi Ben Said & Hamdi Hentati & Taoufik Kamoun & Mounir Trabelsi, 2023. "Experimental and Numerical Investigation of Folding Process—Prediction of Folding Force and Springback," Mathematics, MDPI, vol. 11(19), pages 1-18, September.
    2. Lotfi Ben Said & Alia Khanfir Chabchoub & Mondher Wali, 2023. "Mathematical Model Describing the Hardening and Failure Behaviour of Aluminium Alloys: Application in Metal Shear Cutting Process," Mathematics, MDPI, vol. 11(9), pages 1-18, April.
    3. 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.
    4. Elouni Chebbi & Lotfi Ben Said & Badreddine Ayadi & Fakhreddine Dammak, 2023. "A Continuum Damage-Based Anisotropic Hyperelastic Fatigue Model for Short Glass Fiber Reinforced Polyamide 66," Mathematics, MDPI, vol. 11(6), pages 1-21, March.

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