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A geometrically non-linear three-dimensional cohesive crack method for reinforced concrete structures
Authors:Timon Rabczuk,Goangseup Zi,Sté  phane Bordas,Hung Nguyen-Xuan
Affiliation:a Department of Mechanical Engineering, University of Canterbury, Christchurch, New Zealand
b Department of Civil, Environmental and Architectural Engineering, Korea University, 5 Ga 1, An-Am Dong, Sung-Buk Gu, Seoul 136-701, Republic of Korea
c Civil Engineering Department, University of Glasgow, Rankine Building, G12 8LT Glasgow, UK
d Singapore-MIT Alliance (SMA), E4-04-10, 4 Engineering Drive 3, Singapore 117576, Singapore
e National University of Singapore, 10 Kent Ridge Crescent 119260, Singapore
Abstract:A three-dimensional meshfree method for modeling arbitrary crack initiation and crack growth in reinforced concrete structure is presented. This meshfree method is based on a partition of unity concept and formulated for geometrically non-linear problems. The crack kinematics are obtained by enriching the solution space in order to capture the correct crack kinematics. A cohesive zone model is used after crack initiation. The reinforcement modeled by truss or beam elements is connected by a bond model to the concrete. We applied the method to model the fracture of several reinforced concrete structures and compared the results to experimental data.
Keywords:Prestressed concrete   Reinforced concrete   Cohesive zone modeling   Crack growth   Brittle fracture
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