Abstract
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 continuum-based 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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Project supported by the National Natural Science Foundation of China (No. 10876100)
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Lin, Zj., Zhuang, Z. Enriched goal-oriented error estimation for fracture problems solved by continuum-based shell extended finite element method. Appl. Math. Mech.-Engl. Ed. 35, 33–48 (2014). https://doi.org/10.1007/s10483-014-1770-8
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DOI: https://doi.org/10.1007/s10483-014-1770-8