Analysis on cohesive crack opening displacement considering the strain softening effect |
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Authors: | WANG Limin XU Shilang ZHAO Xiqiang |
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Institution: | 1. Mechanics Department, Shandong University of Technology, Zibo 255049, China 2. Civil Engineering Department, Dalian University of Technology, Dalian 116024, China 3. Mathematics Department, Ocean University of China, Qingdao 266071, China |
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Abstract: | In order to investigate the crack propagation in quasi-brittle materials like rock, ceramic and concrete, Hillerborg and his
co-researchers abstracted the fracture process zone in front of a stress free crack in terms of a “fictitious crack zone”.
On the fictitious crack zone, cohesive stresses distribute following a given softening relationship of stress vs. crack opening.
Based on the polynomial or power series expression of cohesive crack opening displacement, the relationship of the cohesive
stress vs. the crack opening displacement is established using elastic theory and integral equation, and some unknown physics
variables are obtained using variation approach. The calculation results gained in this paper are close to the experimentally
test ones. |
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Keywords: | cohesive crack softening dissipation work variation approach |
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