Fracture analysis of a piezoelectric elliptical tube subject to internal pressure and thermal loadings

Hsin Yi Lai, Chi Hua Hsu, Zi Jie Lin, Chieh Li Chen

Research output: Contribution to journalArticlepeer-review


In this article, a quadtree element-free Galerkin method (QEFGM) is proposed for automatically configuring background cells. The QEFGM is then employed in the fracture analysis of a piezoelectric elliptical tube subjected to internal pressure and thermal loading. The stress intensity factor (SIF) is calculated by the QEFGM and the traditional element-free Galerkin method (EFGM). By investigating an internally cracked piezoelectric plate subjected to lateral tension, the error of SIF for the EFGM is 5.17%, and the QEFGM is 1.28% at the crack-to-length ratio (c/ W= 0.25 ). The results show that the error of QEFGM is one-fourth of EFGM, which demonstrates the correctness and superiority of the approach. The QEFGM was then employed in an examination of the system geometry on the SIF in a fractured piezoelectric tube. Fracture analysis was carried out for four ellipses with different axial ratios and three super-ellipses of different powers. The SIF increased with the axial ratio for the ellipses, and increased with the powers for the super-ellipses. In this paper, various physical characteristics analyses of fracture piezoelectric material were carried out under different structure geometries. The presented result is beneficial to the prediction of material life.

Original languageEnglish
Pages (from-to)2493-2511
Number of pages19
JournalActa Mechanica
Issue number7
Publication statusPublished - 2021 Jul

All Science Journal Classification (ASJC) codes

  • Computational Mechanics
  • Mechanical Engineering


Dive into the research topics of 'Fracture analysis of a piezoelectric elliptical tube subject to internal pressure and thermal loadings'. Together they form a unique fingerprint.

Cite this