The effect of embedded marker particles on global stiffness and strain
s determined when using these markers as fiducial marks is studied ana
lytically. These effects are important to a recently developed strain
measurement method that uses before and after X-ray pictures of the em
bedded marker particles. Global effect of the markers on the stiffness
is studied using micromechanical models available from the literature
. The error in the measured strain due to the influence of the markers
is assessed by both the finite element method and elasticity theory.
It is shown that the global influence is small for marker-volume fract
ions less than 3%. The induced strain measurement error is small for p
articles that are five or more marker-diameters apart. A simple formul
a for the strain measurement error in the case of particles that are f
ive or more marker-diameters apart is derived from elasticity theory.