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The determination of post yield stresses from strains measured on strain hardening materials
Author(s) -
Wright Douglas C.,
Tooth Alwyn S.
Publication year - 1984
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.1475-1305.1984.tb00530.x
Subject(s) - constitutive equation , yield (engineering) , hardening (computing) , strain gauge , prandtl number , mathematics , structural engineering , strain (injury) , calculus (dental) , mechanics , materials science , mathematical analysis , engineering , finite element method , physics , composite material , convection , layer (electronics) , medicine , dentistry
The paper examines the computational techniques of Mendelson 1 and that proposed by Moreton‐Moffat 2 to derive post yield stresses from strain gauge readings and compares them with the fundamental Prandtl‐Reuss approach. Although the approach by Mendelson is extensively used in one form or another in elasto‐plastic analysis its application in the experimental stress analysis field is less common. Moreton‐Moffat highlighted this application and modified Mendelson's method claiming that it was unnecessary to use the post yield constitutive law. In this latter respect their approach is shown in general to be inadequate. The technique based on the Mendelson approach 1 is found to be an accurate and useful solution especially when modified to incorporate the slope of the constitutive law at the mean stress of any particular finite step. Although the method is an approximate strain analogue of the Prandtl‐Reuss equations the approximation is excellent for practical step sizes.