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Dynamic fracture modeling in shell structures based on XFEM

Ragnar Larsson (Institutionen för tillämpad mekanik, Material- och beräkningsmekanik) ; Jesus Mediavilla ; Martin Fagerström (Institutionen för tillämpad mekanik, Material- och beräkningsmekanik)
International Journal for Numerical Methods in Engineering (0029-5981). Vol. 86 (2010), 4-5, p. 499-527.
[Artikel, refereegranskad vetenskaplig]

Through-the-thickness crack propagation in thin-walled structures is dealt with in the paper. The formulation is based on the cohesive zone concept applied to a kinematically consistent shell model enhanced with an XFEM–based discontinuous kinematical representation. The resulting formulation comprises the representation of continuous deformation, represented by midsurface placement, director and thickness inhomogeneous fields, and discontinuous deformation, represented by discontinuous placement and director fields. The shell model is implemented both for the implicit static analysis and in the context of explicit dynamic integration pertinent to impact loading, and the implementation results in a 7-parameter solid-shell element based on a 6-noded triangular element. In order to properly formulate the dynamic fracture characteristics, a rate-dependent cohesive zone model is employed with respect to e.g. limiting crack speeds as observed experimentally. In the final example, this model has been applied to a blast loaded pressure vessel that has been experimentally tested. The results indicate that the right crack speed as well as fracture characteristics are relatively well captured. Furthermore, it appears that the discontinuous model exhibits the expected properties with respect to critical time step size in the dynamic analysis and convergence behavior towards the analytical static solution.

Nyckelord: Shell theory, Higher order thickness strain, Cohesive zones, Dynamic fracture, Discontinuous XFEM kinematics



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Denna post skapades 2010-12-14. Senast ändrad 2016-02-01.
CPL Pubid: 130766

 

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