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2020, Volume 14, Issue 1

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Frontiers of Structural and Civil Engineering >> 2020, Volume 14, Issue 1 doi: 10.1007/s11709-019-0595-6

Simulation of cohesive crack growth by a variable-node XFEM

. Nanjing Automation Institute of Water Conservancy and Hydrology, Nanjing 210012, China.. Department of Engineering Mechanics, Hohai University, Nanjing 211100, China.. Laboratory of Solid Structures, University of Luxembourg, Luxembourg L-1359, Luxembourg.. Institute for Research and Development, Duy Tan University, Da Nang City 550000, Vietnam.. Department of Civil and Environmental Engineering, Tokyo Institute of Technology, Tokyo 152-8552, Japan

Accepted: 2019-12-17 Available online: 2019-12-17
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Abstract

A new computational approach that combines the extended finite element method associated with variable-node elements and cohesive zone model is developed. By using a new enriched technique based on sign function, the proposed model using 4-node quadrilateral elements can eliminate the blending element problem. It also allows modeling the equal stresses at both sides of the crack in the crack-tip as assumed in the cohesive model, and is able to simulate the arbitrary crack-tip location. The multiscale mesh technique associated with variable-node elements and the arc-length method further improve the efficiency of the developed approach. The performance and accuracy of the present approach are illustrated through numerical experiments considering both mode-I and mixed-mode fracture in concrete.

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