Analytical relationships for yield stress of five mechanical meta-biomaterials

N. Ghavidelnia, S. Jedari Salami, R. Hedayati

Research output: Contribution to journalArticleScientificpeer-review


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.

Original languageEnglish
Number of pages23
JournalMechanics Based Design of Structures and Machines
Publication statusAccepted/In press - 2020


  • lattice structures
  • mechanical properties
  • Metamaterials
  • Timoshenko and Euler beam theories
  • yield strength

Fingerprint Dive into the research topics of 'Analytical relationships for yield stress of five mechanical meta-biomaterials'. Together they form a unique fingerprint.

  • Cite this