Analysis of stress and strain concentrations around an elliptical hole via finite element and response surface methodology

Authors

Somaya M. Aiad, Production and Mechanical Design Engineering Department Faculty of Engineering, Mansoura University, Egypt.
Tawakol A. Enab, Production and Mechanical Design Engineering Department Faculty of Engineering, Mansoura University, Egypt.Follow
Mona A. Aboueleaz, Production and Mechanical Design Engineering Department Faculty of Engineering, Mansoura University, Egypt.

Corresponding Author

Tawakol A. Enab

Subject Area

Production Engineering and Mechanical Design

Article Type

Original Study

Abstract

The current investigation aims to study the stress and strain concentration factors (Kσ and Kε) around a central elliptical hole in a rectangular plate under uniaxial and biaxial loads. Finite element and response surface methods (FEM and RSM) were used to predict the values of Kσ and Kε in isotropic and orthotropic material rectangular plates. Thus, the finite element models were built using ANSYS commercial FEM software to obtain the values of Kσ and Kε for some designed cases. Moreover, the response surface methodology was applied to limit the required number of FEM runs based on the number of variables. Additionally, RSM was used to obtain the required formulas to predict the values of Kσ and Kε. The obtained formulas are accurate and closely compatible with finite element analysis (FEA) results. The obtained formulas may be used to suggest an efficient way to estimate the effect of elliptical holes on plate structures made of isotropic and orthotropic materials.

Keywords

Stress concentration factors; Strain concentration factors; Elliptical hole; Finite element analysis (FEA); Response surface methodology (RSM).

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 License.

Recommended Citation

Aiad, Somaya M.; Enab, Tawakol A.; and Aboueleaz, Mona A. (2023) "Analysis of stress and strain concentrations around an elliptical hole via finite element and response surface methodology," Mansoura Engineering Journal: Vol. 49 : Iss. 3 , Article 3.
Available at: https://doi.org/10.58491/2735-4202.3175