Open AccessMathematical model and analysis of the strength of particle reinforced ideally plastic composites
Author(s) -
Guillermo H. Goldsztein
Publication year - 2017
Publication title -
quarterly of applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.603
H-Index - 41
eISSN - 1552-4485
pISSN - 0033-569X
DOI - 10.1090/qam/1469
Subject(s) - materials science , composite material , volume fraction , matrix (chemical analysis) , yield (engineering) , microstructure , shear (geology) , micromechanics , particle (ecology) , composite number , oceanography , geology
We consider fiber reinforced ideally plastic composites. We analyze a mathematical model valid for microstructures and applied stresses that lead to both microscopic and macroscopic anti-plane shear deformations. We obtain a bound on the yield set of the reinforced material in terms of the shapes of the cross section of the fibers, their volume fraction, and the yield stresses of the matrix. We construct examples showing that our bound is sharp.