How can we determine the critical size of a stiffer particle based on the strain energy release rates from the crack near to it ?
I did not get your question.
The energy necessary to split any particle increases with the diminishing of the size of the particle. I do not know a precise methodology to determine the energy to initiate a crack in a particle. This question has been tried to be answered since the Greek philosopher Democritus, about 2500 years ago, established the term “atomos”.
Hello Anurag:
I assume you´re dealing with a particle-reinforced composite?. And also you´re dealing with the fracture energy of the system?. I recommend that you consider: 1) Mechanical properties of the particle (ceramic material?) 2) concentration of particles in the matrix (not in all cases the more number of particles the stiffer or the higher the fracture energy). 3) Adhesion phenomena matrix-particle (surface treatment, TDMA, etc., 4) Therefore, in order to determine the particle size (diameter) I would experiment with at least these elements.
I hope these comments help you.
Regards,
Fernando Guillén
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