caa a22 4500 465750907 CHVBK 20180323111833.0 cr unu---uuuuu 170327e19901201xx s 000 0 eng 10.1007/BF02321498 doi (NATIONALLICENCE)springer-10.1007/BF02321498 Separation of principal stresses by SOR technique over arbitrary boundaries [Elektronische Daten] [H. Mahfuz, T. Wong, R. Case] A computerized method is presented that generates a grid mesh within the digitized boundary of a photoelastic specimen as it appears in the single viewing through an overhead polariscope. The second-order partial differential equation for the first linear invariant of stress which satisfies the Laplace equation is solved from the boundary values for the digitized domain by the finite-difference method. Connectivity and the weighting functions that are required for the iterative solution of the systems of linear equations are generated from the digitized information along the boundary. Isochromatic values at each nodal point within the boundary are estimated from the digitized fringe patterns by a scanning technique, and the individual values of principal stresses are determined. To enhance convergence, the method of successive over relaxation is applied with an optimum accelerating factor determined in the course of the solution process. The accuracy and the speed of the solution are tested with three different examples. Society for Experimental Mechanics, Inc., 1990 Mahfuz H. Department of Mechanical Engineering, Tuskegee University, 36088, Tuskegee, AL aut Wong T. Department of Mechanical Engineering, Florida Atlantic University, 33431, Boca Raton, FL aut Case R. Department of Mechanical Engineering, Florida Atlantic University, 33431, Boca Raton, FL aut Experimental Mechanics Kluwer Academic Publishers 30/4(1990-12-01), 319-327 0014-4851 30:4<319 1990 30 11340 https://doi.org/10.1007/BF02321498 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF02321498 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Mahfuz H. Department of Mechanical Engineering, Tuskegee University, 36088, Tuskegee, AL aut NATIONALLICENCE 700 1- Wong T. Department of Mechanical Engineering, Florida Atlantic University, 33431, Boca Raton, FL aut NATIONALLICENCE 700 1- Case R. Department of Mechanical Engineering, Florida Atlantic University, 33431, Boca Raton, FL aut NATIONALLICENCE 773 0- Experimental Mechanics Kluwer Academic Publishers 30/4(1990-12-01), 319-327 0014-4851 30:4<319 1990 30 11340 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer