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

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

Mathematics, 2022, vol. 10, issue 19, 1-23

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.

Keywords: variational approach; coupled thermomechanical models; Johnson–Cook laws; ductile fracture (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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Citations: View citations in EconPapers (4)

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