Yt. Chou et Dm. Barnett, RECIPROCAL RELATIONSHIP BETWEEN THE STRESS-FIELDS OF A LINE-FORCE ANDA DISLOCATION IN ANISOTROPIC MEDIA, Philosophical magazine. A. Physics of condensed matter. Structure, defects and mechanical properties, 76(1), 1997, pp. 221-229
Based on Moutier's theorem, explicit relationships between the stress
field of a line force and that of a dislocation are obtained for aniso
tropic elastic media. Special examples are illustrated for systems wit
h high elastic symmetry. These relationships constitute a set of Betti
's reciprocal formulae in micromechanics.