A Meshfree Method based on the Local Partition of Unity for Cohesive Cracks

Computational Mechanics - Tập 39 - Trang 743-760 - 2006
Timon Rabczuk1, Goangseup Zi2
1Institute for Numerical Mechanics, Technical University of Munich, Garching b. Munich, Germany
2Department of Civil and Environmental Engineering, Korea University, Seoul, Korea

Tóm tắt

We will present a meshfree method based on the local partition of unity for cohesive cracks. The cracks are described by a jump in the displacement field for particles whose domain of influence is cut by the crack. Particles with partially cut domain of influence are enriched with branch functions. Crack propagation is governed by the material stability condition. Due to the smoothness and higher order continuity, the method is very accurate which is demonstrated for several quasi static and dynamic crack propagation examples.

Tài liệu tham khảo

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