A Modified Strain-displacement Method for High Accuracy 8-Node Solid Finite Element

Authors

  • Sacharuck Pornpeerakeat Department of Teacher Training in Civil Engineering, Faculty of Technical Education, King Mongkut’s University of Technology North Bangkok, Bangkok, Thailand
  • Krissachai Sriboonma Department of Teacher Training in Civil Engineering, Faculty of Technical Education, King Mongkut’s University of Technology North Bangkok, Bangkok, Thailand
  • Arisara Chaikittiratana Department of Mechanical and Aerospace Engineering, Faculty of Engineering, Research Centre for Advanced Computational and Experimental Mechanics (RACE), King Mongkut’s University of Technology North Bangkok, Bangkok, Thailand

DOI:

https://doi.org/10.14416/j.asep.2020.12.003

Keywords:

Finite element, High accuracy, Modified strain-displacement, Implicit formulation

Abstract

Higher-order three-dimensional solid elements are widely used for machine design and structural analyses. Although higher-order solid elements offer higher accuracy, the assembly routines often consume large amount of computational time and memory usage. In contrast, lower-order solid elements such as an 8-nod are simpler in programming implementation and consume less computational resources. However, they can produce problems of locking phenomena e.g. membrane and shear locking. Moreover, in a three-dimensional analysis using continuum solid elements, it is necessary to consider the stresses in the through-thickness direction, for example, in layered soil and foundation. This research aims to develop a modified strain-displacement finite element formulation that eliminates locking problems and generally applicable to both thick and thin threedimensional structures. The proposed formulation is based on the key concept of energy equivalence mapped between the global and natural curvilinear coordinates. The advantage of the proposed method is the ability to select a set of chosen strain functions that can be defined arbitrarily on the natural curvilinear coordinates.

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References

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Published

2021-10-20

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Research Articles