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The hole drilling method in photoelasticity ‐application of an optimisation approach
Author(s) -
CárdenasGarcía Jaime F.
Publication year - 2000
Publication title -
strain
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.477
H-Index - 47
eISSN - 1475-1305
pISSN - 0039-2103
DOI - 10.1111/j.1475-1305.2000.tb01163.x
Subject(s) - photoelasticity , hole drilling method , a priori and a posteriori , symmetry (geometry) , orientation (vector space) , residual stress , enhanced data rates for gsm evolution , drilling , deep hole drilling , principal axis theorem , inverse problem , field (mathematics) , stress field , geometry , residual , optics , structural engineering , materials science , mathematics , engineering , finite element method , mathematical analysis , computer science , algorithm , physics , mechanical engineering , cauchy stress tensor , composite material , artificial intelligence , philosophy , epistemology , pure mathematics
This paper presents a least squares inverse problem solution for the case of photoelastic fringes around a hole in a biaxially loaded plate for two problems. Problem 1 relates to an infinite plate in which the circular hole is drilled first and then the loads are applied. Problem 2 is the residual stress problem in which the hole is drilled after the biaxial load is applied to the infinite plate. This hybrid experimental numerical approach permits utilisation of as many points of information as desired, away from the edge of the hole and the axes of symmetry. Also, no a priori knowledge is needed as to the orientation of the principal axes of symmetry. Its implementation, using simulated photoelastic fringes, yields accurate predictions of the magnitude and orientation of the far field stresses.