A theory of fracture is presented that is based upon an extension of continuum mechanics to the nanoscale fracture through the incorporation of long-range intermolecular forces which correct bulk material descriptions near interfaces. To be consistent with the literature, constant surface energies are assigned to interfaces. In the analysis of mode I fracture for quasi-brittle material, it is observed that the incorporation of these long-range intermolecular forces predicts sharp fracture tip rather than blunt and avoids stress singularity. The details of the singular perturbation employed in this analysis are also presented.
The Singular Perturbation in the Analysis of Mode I Fracture Based upon a New Multiscale Theory,
Applications and Applied Mathematics: An International Journal (AAM), Vol. 6,
2, Article 4.
Available at: https://digitalcommons.pvamu.edu/aam/vol6/iss2/4