Math @ Duke

Publications [#268301] of John E. Dolbow
Papers Published
 Dolbow, J; Moes, N; Belytschko, T, Modeling fracture in MindlinReissner plates with the extended finite element method,
Int. J. Solids Struct. (UK), vol. 37 no. 4850
(2000),
pp. 71617183, Boulder, CO, USA, ISSN 00207683 [S00207683(00)001943], [doi]
(last updated on 2017/12/10)
Abstract: A technique for the modeling of cracks and crack growth in plates using the extended finite element method (XFEM) is presented. Beginning with a plate formulation which does not exhibit shear locking, the finite element approximation is enriched with both discontinuous and neartip functions. This allows for the modeling of crack geometries which are independent of the finite element mesh topology, and greatly facilitates the simulation of crack growth. Guidelines for the construction of the enriched approximation and the numerical integration of the weak form in the XFEM framework are reviewed. To obtain the mixedmode stress intensity factors, we derive appropriate domain forms of an interaction integral in the context of MindlinReissner plate theory. Several benchmark problems of throughthethickness cracks in infinite and finite plates are solved to illustrate the accuracy and utility of the new formulation
Keywords: crackedge stress field analysis;cracks;finite element analysis;fracture mechanics;integration;


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