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A meshfree method based on the local partition of unity for cohesive cracks. (English) Zbl 1161.74055
Summary: To apply the title method, the cracks are described by a jump in 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 quasistatic and dynamic crack propagation examples.

MSC:
74S30 Other numerical methods in solid mechanics (MSC2010)
74R10 Brittle fracture
Software:
XFEM
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References:
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