1990 Volume 56 Issue 526 Pages 1447-1454
In the second-order theory which is one of the analytical methods of three-dimensional elastic problems in finite deformations, the induced second-order scalar term in the stress-strain relations for incompressible materials has two kinds of expressions. These expressions of scalar term in conventional theory include certain unclear contents mathematically and physically. In this paper, we propose a clear expression for the second-order scalar term by using a strain invariant. Further, we show that the second-order term of hydrostatic pressure can be easily determined by means of strain invariant. Finally, the analytical method of boundary-value problems for incompressible materials is examined by two simple examples.
TRANSACTIONS OF THE JAPAN SOCIETY OF MECHANICAL ENGINEERS Series C
TRANSACTIONS OF THE JAPAN SOCIETY OF MECHANICAL ENGINEERS Series B
TRANSACTIONS OF THE JAPAN SOCIETY OF MECHANICAL ENGINEERS Series A
Transactions of the Japan Society of Mechanical Engineers Series C
Transactions of the Japan Society of Mechanical Engineers Series B
