An augmented cohesive zone element for arbitrary crack coalescence and bifurcation in heterogeneous materials

International Journal for Numerical Methods in Engineering - Tập 88 Số 9 - Trang 841-861 - 2011
Xianyong Fang1, Qingda Yang1, Brian N. Cox2, Zhiqiang Zhou1
1Department of Mechanical and Aerospace Engineering, University of Miami,Coral Gables, FL 33124, U.S.A
2Teledyne Scientific Co LLC, Thousand Oaks, CA 91360, U.S.A.

Tóm tắt

AbstractWe demonstrate that traditional cohesive zone (CZ) elements cannot be accurate when used in conjunction with solid elements with arbitrary intra‐element cracking capability, because they cannot capture the load transfer between cohesive interfaces and the solid elements when crack bifurcation or coalescence occurs. An augmented cohesive zone (ACZ) element based on the augmented finite element method formulation is therefore proposed. The new element allows for arbitrary separation of the cohesive element in accordance with the crack configuration of the abutting solid elements, thus correctly maintaining the non‐linear coupling between merging or bifurcating cracks. Numerical accuracy and effectiveness of the proposed ACZ element are demonstrated through several examples. Copyright © 2011 John Wiley & Sons, Ltd.

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International Journal for Numerical Methods in Engineering

Tập 88 Số 9

841-861

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