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Strain field analysis with the X‐ray integration method
Author(s) -
Peiter A.,
Lode W.
Publication year - 1983
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.1475-1305.1983.tb00448.x
Subject(s) - variable (mathematics) , beam (structure) , trigonometry , mathematical analysis , penetration (warfare) , computer program , trigonometric functions , internal stress , distribution (mathematics) , stress (linguistics) , numerical integration , mathematics , geometry , structural engineering , computer science , materials science , engineering , composite material , linguistics , philosophy , operations research , operating system
The so‐called X‐ray sin 2 method for measuring internal stresses is not always acceptable, because it postulates a constant orthogonal stress distribution in the layer passed by the beam. It is demonstrated that the often measured non‐linear distribution of deformations is numerically connected with stress distributions, which are variable and inclined against the surface. The calculation of the internal stresses and their parameters is based on the solution of trigonometric polynoms of the variable with integrals. The penetration depth of the X‐ray beam must be known. For general numeric solutions a computer program can be given. Solutions step by step can be carried out with a programmable pocket calculator. The ‘sin 2 method’ is a special case of the integration method, which is still developing.