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

Authors

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

DOI:

https://doi.org/10.54021/seesv5n1-070

Keywords:

strain, stress, viscoelastic, hole, FEM, CPS4

Abstract

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.

References

ASIMINA, M., MATTHIEU, G., CONSTANTINOS, S. Tensile and flexural behaviour of a graphene/epoxy composite: experiments and simulation, J. Phys.: Mater. 3(1), (2020), 014006, https://doi.org/10.1088/2515-7639/ab52d8.

BARTOSZ, K., JERZY, P. Numerical results quality in dependence on abaqus plane stress elements type in big displacements compression test, Applied. Computer. Science., 13(4), (2017), 56-64, doi: 10.23743/acs-2017-29.

BRINSON, H. F., BRINSON, L. C., Polymer engineering science and viscoelasticity, An introduction, Second edition, Chapter in Book, Publisher Springer US, ISBN 9781489974853, 1-482, (2015), https://doi.org/10.1007/978-1-4899-7485-3.

CHRISTIAN, M. TITUS, F. Viscoelastic behaviour and fracture of epoxy resins under mixed mode loading, September Conference : Thermosets 2015 At: Berlin, Germany.

COURTOIS, A. HIRSEKORN, M. BENAVENTE, M. et al. Viscoelastic behavior of an epoxy resin during cure below the glass transition temperature: Characterization and modeling, Journal of Composite Materials 53(2), (2019), 155-171. doi:10.1177/0021998318781226

FELIPE, C. A., JOÃO, F. B. S., JOÃO, M. L. R., The Quasi-static and Dynamic Mechanical Behavior of Epoxy Matrix Composites Reinforced with Curaua Fibers, Materials Research. 21(3), (2018), e20170828, https://doi.org/10.1590/1980-5373-MR-2017-0828.

GBADAM, E. FRIMPONG, S., Micromechanical and microstructural DEM modeling of the viscoelastic behavior of oil sands, Advanced Materials Science, 2(1). (2017), 1-11, DOI: 10.15761/AMS.1000116

HUANG, W., REN, Z., ZHANG, X., YU, J., Investigation on Microstructural Damage Properties of Asphalt Mixture Using Linear and Damage-Coupled Viscoelastic Model, Appl. Sci. , 9(2). (2019), 303, https://doi.org/10.3390/app9020303.

IMANDOUST, A., ZAREI-HANZAKI, A., KENG-LIANG, O., CHIH-HUA, Y., D03 Ordered Phase Strengthening in Dual Phase Twinning-Induced Plasticity Steel, Journal of Materials Engineering and Performance 24(5), (2015), 2085-2090, DOI: 10.1007/s11665-015-1488-z

LAHTELA, V., SILWAL, S., KÄRKI, T., Re-Processing of Multilayer Plastic Materials as a Part of the Recycling Process: The Features of Processed Multilayer Materials, Polymers , 12(11), (2020), 2517. https://doi.org/10.3390/polym12112517.

LIU, Z., OSWALD, J., BELYTSCHKO, T., XFEM modeling of ultrasonic wave propagation in polymer matrix particulate/fibrous composites, Wave Motion, 50(3), (2013), 389-401. https://doi.org/10.1016/j.wavemoti.2012.10.007.

MASOUD, Y. F., YINGTAO, L., ADITI, C. A simplified approach for flexural behavior of epoxy resin materials, The Journal of Strain Analysis for Engineering Design 47(1), (2012), 18-31 https://doi.org/10.1177/0309324711430023.

MÜLLER, M. P., ROBERT, B., SIRKO, G., ROBERT, K., HUBERT, J., MAIK, G. Correlation between elastic and plastic deformations of partially cured epoxy networks, AIP Proceedings AIP Conf. Proc. 1960, 010001 (2018), https://doi.org/10.1063/1.5034801

NOSRATI, N., ZABETT, A., SAHEBIAN, S., Stress Dependency of Creep Response for Glass/Epoxy Composite at Nonlinear and Linear Viscoelastic Behavior, International Journal of Polymer Science Volume (2022), Article ID 9733138, 11 pages, https://doi.org/10.1155/2022/9733138.

PAPANICOLAOU, G.C. KONTAXIS, L.C., MANARA, A.E. Viscoelastic behaviour and modelling of nano and micro TiO2 powderepoxy resin composites, Ciência & Tecnologia dos Materiais 28(2), (2016), 138-146, https://doi.org/10.1016/j.ctmat.2016.02.005.

SASEENDRAN, S., WYSOCKI, M., VARNA, J., Evolution of viscoelastic behavior of a curing LY5052 epoxy resin in the glassy state, Advanced Manufacturing: Polymer CompositesScience, 2(2), (2016),74-82, https://doi.org/10.1080/20550340.2016.1236223

SHANK, K., PRATIK, G.,ALIREZA, T., A Finite Element Approach for Study of Wave Attenuation Characteristics of Epoxy Polymer Composite, Conference: ASME, International Mechanical Engineering Congress and Exposition At: Pittsburgh, PA, USA, (2018), DOI: 10.1115/IMECE2018-87873.

SHEN, T. LONG, R. VERNEREY, F., Computational modeling of the large deformation and flow of viscoelastic polymers, Comput Mech 63, (2019), 725-745 https://doi.org/10.1007/s00466-018-1619-0

TAO, G., XIA, Z., Mean stress/strain effect on fatigue behavior of an epoxy resin, International Journal of Fatigue, 29(12), (2007), 2180-2190. https://doi.org/10.1016/j.ijfatigue.2006.12.009

VOLGERS, P., ANDERS, W. Analysis of Analysis of DuPont engineering polymers – challenges and solutions, May, Conference: Science in The Age of Experience At: Chicago, IL, USA. (2017).

WARNEZ, M. T., JOHNSEN, E., Numerical modeling of bubble dynamics in viscoelastic media with relaxation, Physics of Fluids 27(6). (2015), 063103, https://doi.org/10.1063/1.4922598.

XU, M. M., HUANG, G. Y., FENG, S. S., McShane, G.J. Stronge, W.J., Static and Dynamic Properties of Semi-Crystalline Polyethylene, Polymers. 8(4), (2016), 77, https://doi.org/10.3390/polym8040077

XU, Q., ENGQUIST, B., A mathematical model for fitting and predicting relaxation modulus and simulating viscoelastic responses, Proc. R. Soc. A 474, (2018), 20170540. http://dx.doi.org/10.1098/rspa.2017.0540.

YOUNES, M.F., ABDEL RAHMAN, M.A., Tensile relaxation behavior for multi layers fiberglass fabric/epoxy composite, European Journal of Material Sciences 3(1), (2016), 1-13.

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Published

2024-04-26

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. https://doi.org/10.54021/seesv5n1-070