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Numerical smeared fracture analysis: Nonlocal microcrack interaction approach. (English) Zbl 0868.73066
The nonlocal continuum concept is used for the fracture description due to microcrack interactions in a medium. The material between microcracks is assumed to be elastic, and the superposition principle is used. At the first substep all the microcracks are closed (temporarily) and are able to transfer the stresses. At the second substep, the stresses transmitted between the microcrack surfaces are relaxed. The results in crack theory due to Kachanov are utilized and finite element technique is employed. The material parameters are defined using the basic characteristics of material (e.g. concrete) such as the tensile strength, fracture energy and maximum aggregate size. A very complicated model is used and trivial assumptions are introduced (the microcrack length is supposed to be proportional to the maximum aggregate size).
Reviewer: J.Golecki (Haifa)

MSC:
74R99 Fracture and damage
74S05 Finite element methods applied to problems in solid mechanics
74A30 Nonsimple materials
74A60 Micromechanical theories
74M25 Micromechanics of solids
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