Formulation of a three-dimensional cohesive zone model for application to a finite element algorithm.

*(English)*Zbl 0992.74067Summary: We present a formulation for implementing a cohesive zone model by using a nonlinear finite element algorithm. The cohesive zone model may be of arbitrary type, so long as it can be constructed in an incremental form in time. Problems that can then be solved using this algorithm include a broad array of material types, including elastic, elastoplastic, viscoplastic, and viscoelastic materials. Multiple cracks may be modeled by this methodology, and any and all can be evolving simultaneously, with crack interaction included explicitly in the formulation. Example problems demonstrate the efficacy of the algorithm.

##### MSC:

74S05 | Finite element methods applied to problems in solid mechanics |

74R20 | Anelastic fracture and damage |

##### Keywords:

three-dimensional cohesive zone model; elastoplasticity; composites; incremental method; nonlinear finite element algorithm; crack interaction
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\textit{J. W. Foulk} et al., Comput. Methods Appl. Mech. Eng. 183, No. 1--2, 51--66 (2000; Zbl 0992.74067)

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##### References:

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