TY - JOUR
T1 - Heterogeneous materials - Scaling phenomena relevant to fracture and to fracture toughness
AU - Meisner, Mark J.
AU - Frantziskonis, George N.
N1 - Funding Information:
Acknowledgements-The present research was supported partially by the University of Arizona Foundation, by the Institute for Mechanics of Materials, and by the Japan Society for the Promotion of Sciences, in conjunction with the US National Science Foundation (NSF), Washington, D.C., to the first author, and by the NSF, Grant No. MSS/PYI/9157237, and the Hughes Aircraft Company to the second author.
PY - 1997/2
Y1 - 1997/2
N2 - The paper documents a study on novel fracture and fracture toughness properties of brittle heterogeneous materials. Before any external load is applied on a structure/specimen, certain material relevant variables are considered to form a random field. The implications of these underlying heterogeneous fields before fracture on the properties of the fracture network developed from external load application are examined first. Then, emphasis is given on the distribution of the spatial variation of the dissipated energy due to fracture which shows, under certain yet general conditions, multifractal scaling properties. Importantly such scaling depends not only on the initial heterogeneity present, but also on the externally applied load and on the nature and extend (depth) of relevant surface effects. From the engineering point of view, such properties of dissipated energy provide a renewed load-path as well as structure dependent definition of fracture toughness.
AB - The paper documents a study on novel fracture and fracture toughness properties of brittle heterogeneous materials. Before any external load is applied on a structure/specimen, certain material relevant variables are considered to form a random field. The implications of these underlying heterogeneous fields before fracture on the properties of the fracture network developed from external load application are examined first. Then, emphasis is given on the distribution of the spatial variation of the dissipated energy due to fracture which shows, under certain yet general conditions, multifractal scaling properties. Importantly such scaling depends not only on the initial heterogeneity present, but also on the externally applied load and on the nature and extend (depth) of relevant surface effects. From the engineering point of view, such properties of dissipated energy provide a renewed load-path as well as structure dependent definition of fracture toughness.
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U2 - 10.1016/s0960-0779(96)00053-7
DO - 10.1016/s0960-0779(96)00053-7
M3 - Article
AN - SCOPUS:0006558410
SN - 0960-0779
VL - 8
SP - 151
EP - 170
JO - Chaos, solitons and fractals
JF - Chaos, solitons and fractals
IS - 2 SPEC. ISS.
ER -