PERFORMANCE EVALUATION OF NONLINEAR VISCOELASTIC MATERIALS USING FINITE ELEMENT METHOD
Sabri L.A. Al-Tamimi A.N.J. Alshamma F.A. Mohammed M.N. Salloomi K.N. Abdullah O.I.
2024University of Zielona Gora
International Journal of Applied Mechanics and Engineering
2024#29Issue 1142 - 158 pp.
This research paper applies the finite element method as a methodology to evaluate the structural performance of nonlinear viscoelastic solids. A finite element algorithm was built and developed to simulate the mathematical nonlinear viscoelastic material behavior based on incremental constitutive equations. The derived Equation of the incremental constitutive included the complete strain and stress histories. The Schapery’s nonlinear viscoelastic material model was integrated within the displacement-based finite element environment to perform the analysis. A modified Newton-Raphson technique was used to solve the nonlinear part in the resultant equations. In this work, the deviatoric and volumetric strain–stress relations were decoupled, and the hereditary strains were updated at the end of each time increment. It is worth mentioning that the developed algorithm can be effectively employed for all the permissible values of Poisson’s ratio by using a selective integration procedure. The algorithm was tested for a number of applications, and the results were compared with some previously published experimental results. A small percentage error of (1%) was observed comparing the published experimental results. The developed algorithm can be considered a promising numerical tool that overcomes convergence issues, enhancing equilibrium with high-accuracy results.
finite element method , nonlinear analysis , uniaxial and multiaxial stresses formulation , viscoelastic
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Training and Workshop Center, University of Technology-Iraq, Baghdad, 10001, Iraq
Department of Mechatronics, Al-Khwarizmi College of Engineering, University of Baghdad, Baghdad, Iraq
College of Technical Engineering, Al-Farahidi University, Iraq
Mechanical Engineering Department, College of Engineering, University of Baghdad, Iraq
Mechanical Engineering Department, College of Engineering, Gulf University, Sanad, 26489, Bahrain
Automated Manufacturing Engineering Department, Al-Khwarizmi College of Engineering, University of Baghdad, Baghdad, Iraq
Energy Engineering Department, College of Engineering, University of Baghdad, Baghdad, 10071, Iraq
Department of Mechanics, Al-Farabi Kazakh National University, Almaty, 050040, Kazakhstan
Training and Workshop Center
Department of Mechatronics
College of Technical Engineering
Mechanical Engineering Department
Mechanical Engineering Department
Automated Manufacturing Engineering Department
Energy Engineering Department
Department of Mechanics
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