Integrated photoelasticity: general axisymmetrical case

ABSTRACT. The general tomographic axisyninetrical problem for integratedphotoelasticity is solved. 1 . INTRODUCTION. Reconstruction of the internal stress tensor of transirent models by useof integrated photoelasticity ny be considered as a kind of the tensor field tomography . ' Traditional scalar field tomography seems almost trivialcom.ring to this very complicated problem. The nin difficulties here are:1)the number of unknown tensor components (six or, in axisyninetric case, four ) exceeds the number of experimentally measured parameters , and 2 ) the problem is of a non-linear nature . Virtually all solutions of the plane tomographic problem ( and not for photoelasticity only) imoe some restrictions on rotations of princiil directions of the tensor , which leads to linearization of the problem. A widespread assumption is that secondary princijl directions do not rotate along the ray path.This assumption is quite justified , however , only in the case of the transverseplane of syninetry of the object and in the cylindrical case.In this paper we solve the toinographic problem for axisyirinetric integratedphotoelasticity without any restrictions imposed on rotations of principal