Analytical relationships for yield stress of five mechanical meta-biomaterials

Journal article (2020)

Authors

N. Ghavidelnia Amirkabir University of Technology
S. Jedari Salami Islamic Azad University, Damavand Branch
R. Hedayati Novel Aerospace Materials - Aerospace Engineering
Research Group
Novel Aerospace Materials (Aerospace Engineering) (TU Delft)
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Published Date

2020

Language

English

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Faculty

Aerospace Engineering

Department

Aerospace Structures & Materials

Research Group

Novel Aerospace Materials

Abstract

In this article, five fundamental unit cells namely BCC, hexagonal packing, rhombicuboctahedron, diamond, and truncated octahedron, for which there was a lack of accurate analytical yield stress relationship in the literature, were studied analytically and numerically using the Timoshenko and Euler–Bernoulli beam theories. Two different approaches based on force or displacement methods were considered. The results of the analytical models were validated against finite element models results as well as experimental data from literature. The results demonstrated that the newly developed analytical relationships based on Timoshenko beam theory give more accurate results as compared to Euler–Bernoulli beam theory, especially in higher values of relative densities.

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