Numerical modeling of the stress-strain behavior of a viscoelastic material in a 2D model by FEM


  • Mohammed Bentahar
  • Moulai Arbi Youcef
  • Mahmoudi Noureddin
  • Habib Benzaama



strain, stress, viscoelastic, hole, FEM, CPS4


Numerical modeling of behavior plays an important role in knowing the changes to be made and in optimizing simulation results. Currently, modeling occupies a very necessary place in modern industry for the life study of any problem. This paper deals numerically with the variation and relationship between stress and strain for a model of tensile behavior. In addition, the study is based on the one hand on the number of holes in a plate, and on the other hand by the increase in the tensile load 10, 20 and 30N. The FEM finite element method was used. Additionally, the viscoelastic material was applied. In addition, the parametric mesh has square elements of type (CPS4) bilinear plane stress quadrilaterals, with 4 nodes were used. However, can contribute to a better understanding of the problem of guiding by different numbers of holes concerning viscoelastic behavior for an epoxy material. In addition, this study allows us to know which model is the most resistant during tightening. The results of the final element method (FEM) numerical model were compared, after application of different loadings, to determine the deformation and stress resulting from these loadings, particularly at the holes. On the other hand, the study showed that there is a relationship between viscosity and stress, and a relationship between deformation and stress according to Hooke's law. The variation and the relationship between the stress-strain is then modeled using the finite element calculation code ABAQUS. In addition, the results obtained concerning the numerical simulation were compared and discussed between the different case studies. A good correspondence was obtained between the different comparison results in all the modeling cases of our work.


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How to Cite

Bentahar, M., Youcef, M. A., Noureddin, M., & Benzaama, H. (2024). Numerical modeling of the stress-strain behavior of a viscoelastic material in a 2D model by FEM. STUDIES IN ENGINEERING AND EXACT SCIENCES, 5(1), 1363–1382.