Size effects on strength, toughness and fatigue crack growth of gradient elastic solids

K. Stamoulis, A. E. Giannakopoulos

Research output: Contribution to journalArticleAcademicpeer-review

20 Citations (Scopus)

Abstract

The present study investigates the microstructural size effect on the strength of a bar under axial loading, and on the toughness and crack growth of a beam under three-point bending within the framework of strain gradient elasticity. The gradient responses have been found considerably tougher as compared to the classical theory predictions and the observed deviation increases with increasing values of the non-dimensional parameter g/L (microstructural length over structural length). Based on the analytical solution of the strain energy release rate for the three-point bending case, a new, simple and universal, strain gradient elasticity, brittle fracture criterion and a new, size adjusted fatigue crack growth law have been established. Finally, the analytical predictions of the current modeling compare well with previous experimental data, based on three-point bending tests on single-edge notched concrete beams.

Original languageEnglish
Pages (from-to)4921-4935
Number of pages15
JournalInternational Journal of Solids and Structures
Volume45
Issue number18-19
DOIs
Publication statusPublished - 1 Sep 2008
Externally publishedYes

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