Abstract
We generalize Bueckner's fundamental field concept and develop higher order weight functions for calculating power expansion coefficients of a regular elastic field in a two-dimensional body in the absence of body forces. Problems of the first and third kind are investigated. Integral formulas for the expansion coefficients are given for interior points and crack tips. In these formulas the integration is performed over the boundary of the body, crack faces included. The prescribed boundary data (tractions and/or displacements) of the regular field appear in the integrand in weighted form. The weights are derived from fundamental fields of universal character. The significance of these expansion coefficients in fracture analysis is also discussed.
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