Higher Order Crack Tip Fields for Physical Weak-Discontinuous Crack of Linear FGMs Plate with Reissner's Effect

The higher order crack tip fields for an interfacial crack between homogeneous material and linear functionally graded materials (FGMs) plates is studied. The governing equations are derived for weak-discontinuous problems of FGMs plates considering transverse shear deformation. The higher order crack tip fields of homogeneous materials and FGMs regions are obtained by the eigen-expansion method, respectively. Finally, the whole crack tip high order fields are assembled and given. The crack tip fields obtained also have the same nature of eigen-function as Williams' solution.