The Earthquake Engineering Online Archive

Advances in Doublet Mechanics: 3. Uniqueness and Solution Methods in Plane Elastostatics

Nadeau, Joseph C.; Nashat, Amir H.; Ferrari, Mauro

UCB/SEMM-1995/05, Dept. of Civil Engineering, University of California, Berkeley, 1995-06, 17 pages

A uniqueness theorem is presented for linear elastic doublet mechanics. Restricting attention to plane problems in elastostatics, a correspondence between solutions in doublet and continuum mechanics is achieved, thus allowing a technique for generating solutions. A micro-stress function is introduced in analogy with the Airy stress function in continuum mechanics. Utilizing these solution methodologies, a sampling of problems in plane elastostatic doublet mechanics is solved. In particular, the fundamental problems of Flamant, Kelvin, and stress concentration due to a circular hole are considered.

Available online: http://nisee.berkeley.edu/documents/SEMM/SEMM-95-05.pdf (1 MB)