TY - JOUR
T1 - A continuum framework for mechanics of fractal materials II
T2 - elastic stress fields ahead of cracks in a fractal medium
AU - Balankin, Alexander S.
N1 - Publisher Copyright:
© 2015, EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg.
PY - 2015/4/8
Y1 - 2015/4/8
N2 - This paper is devoted to the crack mechanics in heterogeneous materials with fractal (micro-)structures. Specifically, stress concentrations ahead of straight notches and self-affine cracks in fractal media are studied within a fractal continuum framework. A model of fractal continuum with fractal boundaries accounting for the metric, topological, and connectivity properties of the material microstructure and crack is employed for homogenization of crack problems in fractal media. It is found that the fractal nature of material heterogeneity can either delay or assist the crack initiation and propagation, depending on the interplay between metric and topological properties of the fractal domain.
AB - This paper is devoted to the crack mechanics in heterogeneous materials with fractal (micro-)structures. Specifically, stress concentrations ahead of straight notches and self-affine cracks in fractal media are studied within a fractal continuum framework. A model of fractal continuum with fractal boundaries accounting for the metric, topological, and connectivity properties of the material microstructure and crack is employed for homogenization of crack problems in fractal media. It is found that the fractal nature of material heterogeneity can either delay or assist the crack initiation and propagation, depending on the interplay between metric and topological properties of the fractal domain.
KW - Solid State and Materials
UR - http://www.scopus.com/inward/record.url?scp=84928242328&partnerID=8YFLogxK
U2 - 10.1140/epjb/e2015-50703-8
DO - 10.1140/epjb/e2015-50703-8
M3 - Artículo
AN - SCOPUS:84928242328
SN - 1434-6028
VL - 88
JO - European Physical Journal B
JF - European Physical Journal B
IS - 4
M1 - 91
ER -