in this paper, the flow of couple stress fluid is investigated in a helical screw rheometer (hsr). by unwrapping the channel, lands, and the outside rotating barrel, the geometry of hsr is approximated as a shallow infinite channel. both one- and two-dimensional analysis of the problem is presented using rectangular coordinates. in either case an exact solution of the flow problem is presented ...

A three-term asymptotic expansion which is controlled by two amplitude parameters is used to describe the stress field in the vicinity of the crack tip in a power-hardening material. The first parameter is the well-known J-integral. The second parameter (amplitude A) can be interpreted as a geometry constraint parameter. A least square procedure is developed for the determination of the amplitu...