CLC number: TU39
On-line Access: 2024-08-27
Received: 2023-10-17
Revision Accepted: 2024-05-08
Crosschecked: 2021-05-18
Cited: 0
Clicked: 4631
Citations: Bibtex RefMan EndNote GB/T7714
https://orcid.org/0000-0001-9299-8506
https://orcid.org/0000-0001-5382-6621
Himanshu Gaur, Lema Dakssa, Mahmoud Dawood, Nitin Kumar Samaiya. A novel stress-based formulation of finite element analysis[J]. Journal of Zhejiang University Science A, 2021, 22(6): 481-491.
@article{title="A novel stress-based formulation of finite element analysis",
author="Himanshu Gaur, Lema Dakssa, Mahmoud Dawood, Nitin Kumar Samaiya",
journal="Journal of Zhejiang University Science A",
volume="22",
number="6",
pages="481-491",
year="2021",
publisher="Zhejiang University Press & Springer",
doi="10.1631/jzus.A2000397"
}
%0 Journal Article
%T A novel stress-based formulation of finite element analysis
%A Himanshu Gaur
%A Lema Dakssa
%A Mahmoud Dawood
%A Nitin Kumar Samaiya
%J Journal of Zhejiang University SCIENCE A
%V 22
%N 6
%P 481-491
%@ 1673-565X
%D 2021
%I Zhejiang University Press & Springer
%DOI 10.1631/jzus.A2000397
TY - JOUR
T1 - A novel stress-based formulation of finite element analysis
A1 - Himanshu Gaur
A1 - Lema Dakssa
A1 - Mahmoud Dawood
A1 - Nitin Kumar Samaiya
J0 - Journal of Zhejiang University Science A
VL - 22
IS - 6
SP - 481
EP - 491
%@ 1673-565X
Y1 - 2021
PB - Zhejiang University Press & Springer
ER -
DOI - 10.1631/jzus.A2000397
Abstract: This paper demonstrates a novel formulation of structural analysis. A novel stress-based formulation of structural analysis for material nonlinear problems was proposed in earlier work. In this paper, this methodology is further extended for 3D finite element analysis. The approach avoids use of elastic moduli as the material input in the analysis procedure. It utilizes the whole stress-strain curve of the material. It can be shown that this analysis procedure solved the nonlinear or plasticity problem with relative ease. This paper solves a uniaxial bar, in which the results are compared with the solutions of Green-Lagrange strain and Piola-Kirchhoff stresses. The uniaxial bar is also solved by a regression model in the ‘scikit-learn’ module in Python. The second problem solved is of a beam in pure bending for which the energy release rate is measured. For the beam in pure bending, the bending moment carrying capacity of the beam section is evaluated by this methodology as the crack propagates through the depth of the beam. It can be shown that the methodology is very simple, accurate, and clear in its physical steps.
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