Behavioral Modeling and Homogenizing of Materials Containing Rough Crack

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Shaker Ardakani, Kamal | 2016

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Type of Document: M.Sc. Thesis
Language: Farsi
Document No: 49418 (09)
University: Sharif University of Technology
Department: Civil Engineering
Advisor(s): Mofid, Masoud; Khezrzadeh, Hamed
Abstract:
The present paper proposes a micromechanical damage model for two and three dimensional Representative Volume Element (RVE) with randomly distributed cohesive rough slit-like and penny-shaped micro cracks (Barenblatt-Dugdale type). First, the influence of crack roughness on the crack opening under macro hydrostatic stress state is studied and then the energy release contribution to material damage process is estimated. Considering the fractality of the crack trajectories yields to lower values of the volume crack opening. This will result in lower energy release rate in RVE and higher levels of material resistance. Based on the energy release rate of RVE, the effective material properties and elastic moduli, are calculated by using self-consistent scheme in the case of body containing rough cracks. Using the maximum distortional energy principle, a capped pressure sensitive yielding potential function is obtained for different values of roughness exponent
Keywords:
Cohesive Crack Model ; Homogenization ; Micromechanics ; Damage ; Fractal Geometry ; Constitutive Modeling

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