Elastic Gel Birefringence Method as Applied to the Stress Analysis of Hole Pressure Error

Abstract

From the comparison between birefringence data of flowing polmmer melt through a duct and of the jelly solidified in the same duct exhibited when deformed under static load, I presented a paper in 1975 informing the following concept: The same distributions of the relative deviatoric stress intensity and direction as a polymer melt shows will be generated by a deformation of an elastic gel in case its selection is appropriate with respect to its shear modulus, birefringence sensitivity and the magnitude of the applied load.¹ Although the theoretical verification of its rationality was regarded as difficult, the anticipation on the interrelations between birefringence responses of arbitrary liquid and dolis was expected to afford, when experimentally proved valid, a very useful analogical method of stress analysis of flowing liquid and provide a lot of data useful for the industrial purposes.² Hence I called this method “Elastic gel birefringence method” or more briefly “Gel birefringence method” and have continued experimental clarification without finding any practical contradiction. The present paper is concerned with its extended application accompanied by relevant simultaneous pressure determinations to giving insight into the hole pressure error³ on which inconsistent interpretations have been reported in literature.