Applied Mathematics and Mechanics (English Edition) ›› 2014, Vol. 35 ›› Issue (1): 33-48.doi: https://doi.org/10.1007/s10483-014-1770-8
林治家1,2 庄茁1
LIN Zhi-Jia1,2, ZHUANG Zhuo1
摘要: An enriched goal-oriented error estimation method with extended degrees of freedom is developed to estimate the error in the continuum-based shell extended finite element method. It leads to high quality local error bounds in three-dimensional fracture mechanics simulation which involves enrichments to solve the singularity in crack tip. This enriched goal-oriented error estimation gives a chance to evaluate this continuumbased shell extended finite element method simulation. With comparisons of reliability to the stress intensity factor calculation in stretching and bending, the accuracy of the continuum-based shell extended finite element method simulation is evaluated, and the reason of error is discussed.
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