A complete stress-function representation of stresses for a continuum of second grade (Q1084902)

The theory of point-continua is widely known and has been applied with great success e.g. to such materials as steel, water or air in engineering mechanics. Incorporating the concept of couple-stresses in the theory of point-continua, however, involves many serious problems. One such problem is the type of structure of the couple-tress tensor. Another problem is the question of the completeness of a stress-function representation of stresses. The author presents a complete stress- function representation of stresses for his ''refined theory'' of the point-continuum.