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With two facesheets and core material, sandwich structure is one of the most common composite structures.In this paper, critical strain energy release rate Gc of crack-embedded sandwich structure with multi-walled carbon nanotubes (MWNTs)/epoxy nanocomposites core and graphite/epoxy facesheets which glued by epoxy was analyzed by end notched flexure (ENF) method under three point bending test.The critical energy release rates Gc of crack-embedded sandwich structure were also obtained using the finite element method.