Stress Analysis by Two Cuboid Isoparametric Elements

Authors

  • Mohammad Rezaiee-Pajand Department of Civil Engineering, Ferdowsi University of Mashhad, Iran
  • Arash Karimipour Department of Civil Engineering, Ferdowsi University of Mashhad, Iran

DOI:

https://doi.org/10.13052/ejcm2642-2085.2851

Keywords:

Finite element method, precise stress, analytical formulation, cuboid element, accurate displacement.

Abstract

The finite element method is a powerful tool for solving most of the structural problems. This technique has been used extensively, since the complexity of the elastic field equations does not allow the specialist to find analytical solutions, especially for the three-dimensional structures. It is well-known that the finite element formulation yields the approximate stress responses. To remedy this defect, the Airy stress function is utilized in this study. The stress function formulation leads to a valid solution since it satisfies equilibrium and compatibility equations simultaneously. Two cuboid isoparametric elements are formulated for solving three-dimensional elastic structures. To demonstrate the performance of the proposed technique, various benchmark problems are analyzed. The errors between the exact, displacement-based finite element and recommended scheme solution are also calculated. All the obtained outcomes show the good merit of the presented new elements.

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Author Biographies

Mohammad Rezaiee-Pajand, Department of Civil Engineering, Ferdowsi University of Mashhad, Iran

Mohammad Rezaiee-Pajand received his PhD in Structural Engineering from University of Pittsburgh, Pittsburgh, PA, USA. He is currently a Professor at Ferdowsi University of Mashhad (FUM), Mashhad, Iran. His research interests are: Nonlinear structural analysis, Finite element method, Dynamic relaxation method, Composite structures, Structural vibration, Structural dynamics, Nonlinear solvers, Time integration, Plate and shell, Computational plasticity, Structural optimization and Numerical techniques.

Arash Karimipour, Department of Civil Engineering, Ferdowsi University of Mashhad, Iran

Arash Karimipour attended the University of Ilam, where he received his B.Sc. in Civil Engineering in 2015. Then, he obtained M.Sc. degree in structural Engineering from the Ferdowsi University of Mashhad, Iran, in 2017. Arash has started Ph.D. program at the University of Texas at El Paso since fall 2019. His research interests are: Analysis and design of concrete structures, Finite element method, Experimental and numerical simulation of reinforced concrete pavement.

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Published

2019-12-18

How to Cite

Rezaiee-Pajand, M., & Karimipour, A. (2019). Stress Analysis by Two Cuboid Isoparametric Elements. European Journal of Computational Mechanics, 28(5), 373–410. https://doi.org/10.13052/ejcm2642-2085.2851

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