Geometries of inhomogeneities with minimum field concentration This work is dedicated to Lewis Wheeler with respect and admiration on the occasion of his 73rd birthday

Research output: Contribution to journalArticlepeer-review

2 Scopus citations

Abstract

This paper is devoted to the study of geometries of inhomogeneities with minimum strain or stress concentration. The solutions are achieved by the indirect method of first deriving lower bounds and then constructing the geometries to attain the lower bounds. In particular, we show that a new class of geometries, namely, E-inclusions and periodic E-inclusions, are the optimal geometries with minimum field concentrations. We also obtain the explicit relation between the shape matrix of E-inclusion and remote applied strain which will be convenient for engineering applications of these new geometries.

Original languageEnglish (US)
Pages (from-to)95-102
Number of pages8
JournalMechanics of Materials
Volume75
DOIs
StatePublished - Aug 2014

All Science Journal Classification (ASJC) codes

  • Materials Science(all)
  • Instrumentation
  • Mechanics of Materials

Keywords

  • E-inclusion
  • Optimal design
  • Stress concentration

Fingerprint

Dive into the research topics of 'Geometries of inhomogeneities with minimum field concentration This work is dedicated to Lewis Wheeler with respect and admiration on the occasion of his 73rd birthday'. Together they form a unique fingerprint.

Cite this