Structural Engineering and Mechanics

Techno-Press (테크노프레스)
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Easy function for solving linear elasticity problems

  • Rezaiee-Pajand, Mohammad (Department of Civil Engineering, Ferdowsi University of Mashhad) ;
  • Karimipour, Arash (Department of Civil Engineering, Member of Center for Transportation Infrastructure System (CTIS), University of Texas at El Paso (UTEP))
  • Received : 2020.01.27
  • Accepted : 2021.11.17
  • Published : 2022.02.10
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Abstract

It is well known that after finding the displacement in the structural mechanics, strain and stress can be obtained in the straight-forward process. The main purpose of this paper is to unify the displacement functions for solving the solid body. By performing mathematical operations, three sets of these key relationships are found in this paper. All of them are written in the Cartesian Coordinates and in terms of a simple function. Both analytical and numerical approaches are utilized to validate the correctness of the presented formulations. Since all required conditions for the bodies with self-equilibrated loadings are satisfied accurately, the authors' relations can solve these kinds of problems. This fact is studied in-depth by solving some numerical examples. It is found that a very simple function can be used for each formulation instead of ten different and complex displacement potentials defined by previous studies.

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References

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