Abstract
In this paper the properties of eigenfunction expansion form (EEF) in the fixed rigid line tip (FRLT) problem in plane elasticity are discussed in detail. After using the Betti's reciprocal theorem to the plane body containing the FRLT, several new path-independent integrals are obtained. All the coefficients in the EEF at the FRLT can be related to corresponding path-independent integrals. It is proved that, though the J integral in the crack problem and J f integral in the FRLT problem have the same form, the former ( J) is definitely positive and the latter ( J f ) is definitely negative.
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