Application of Hashin-Shtrikman bounds homogenization model for frequency analysis of imperfect FG bio-composite plates

Guanghui Song; Yunhe Zou; Yan Nie; Mostafa Habibi; Ibrahim Albaijan; Emad Toghroli

doi:10.1016/j.jmbbm.2023.106321

Application of Hashin-Shtrikman bounds homogenization model for frequency analysis of imperfect FG bio-composite plates

J Mech Behav Biomed Mater. 2024 Mar:151:106321. doi: 10.1016/j.jmbbm.2023.106321. Epub 2023 Dec 24.

Authors

Guanghui Song¹, Yunhe Zou², Yan Nie³, Mostafa Habibi⁴, Ibrahim Albaijan⁵, Emad Toghroli⁶

Affiliations

¹ School of Computer and Data Engineering, Ningbo Tech University, Ningbo 315100, Zhejiang, China.
² School of Mechanical Engineering, Inner Mongolia University of Technology, Hohhot 010051, Inner Mongolia, China; Inner Mongolia Key Laboratory of Special Service Intelligent Robotics, Hohhot 010051, Inner Mongolia, China. Electronic address: zouyh@imut.edu.cn.
³ College of Science & Technology Ningbo University, Ningbo 315100, Zhejiang, China.
⁴ Institute of Research and Development, Duy Tan University, Da Nang 550000, Viet Nam; Faculty of Electrical-Electronic Engineering, Duy Tan University, Da Nang 550000, Viet Nam; Department of Biomaterials, Saveetha Dental College and Hospital, Saveetha Institute of Medical and Technical Sciences, Chennai, 600 077, India; Faculty of Architecture and Urbanism, UTE University, Calle Rumipamba S/N and Bourgeois, Quito, Ecuador; Center of Excellence in Design, Robotics, and Automation, Department of Mechanical Engineering, Sharif University of Technology, Azadi Avenue, P.O. Box 11365-9567, Tehran, Iran.
⁵ Mechanical Engineering Department, College of Engineering at Al Kharj, Prince Sattam Bin Abdulaziz University, Al Kharj 11942, Saudi Arabia.
⁶ Department of Civil Engineering, Calut Company Holding, Melbourne, 800, Australia.

PMID: 38211502
DOI: 10.1016/j.jmbbm.2023.106321

Abstract

Despite abundant theoretical investigations on the dynamic behavior of functionally graded (FG) structures, the study on frequency analysis of FG bio-composite structures is limited. FG bio-composite materials due to their biocompatibility potentials and good material properties can be applied in biomedical applications, especially dental implants. In this investigation, a natural frequency response of the FG bio-composite plate is analyzed within the framework of the newly developed refined higher-order shear deformation plate theory. Additionally, the imperfection impact on frequency behavior is evaluated while three imperfection distribution patterns are taken into account. The constitutive materials of FG bio-composite plate are Hydroxyapatite and Titanium. The effective material properties of the structure are determined with the help of the upper Hashin-Shtrikman bounds homogenization model. In continuation, to solve the derived governing equations of imperfect FG bio-composite plate, Galerkin's analytical method is employed. Also, the precision of the used theory is validated, the obtained outcomes are compared and an acceptable matching is found. Later, the sensitivity of different considerable variables is comprehensively assessed and discussed.

Keywords: FG bio-composite; Frequency analysis; Hashin–shtrikman bounds homogenization model; Imperfection impact; Refined higher-order shear deformation plate theory.

MeSH terms

Bone Plates*
Durapatite* / chemistry

Substances

Durapatite