Thermoelastic Determination of Individual Stresses in a Diametrally Loaded Disk

Abstract

In a cyclically loaded structure which experiences adiabatic and reversible conditions, the measured change in temperature is associated with the change in the stresses. For proportional loading and isotropy, the technique measures information on the sum of the principal stresses. As engineering analyses frequently necessitate knowing the individual components of stress, supplementary experimental methods or information is sometimes required to ‘separate the stresses’. This need is circumvented here in that individual stresses are evaluated throughout a loaded disk without additional measured data by hybridising the TSA information with an Airy stress function and some known boundary conditions. Although demonstrated here to a circular aluminium disk under diametral compression, the approach is applicable to more complicated shapes, under more complex loadings and inverse problems. The technique does not pre‐suppose knowing the details. While TSA information has been displayed previously for a loaded disk, the authors are unaware of the stresses being thermoelastically separated for this case.

Determining Individual Stresses Throughout a Pinned Aluminum Joint by Reflective Photoelasticity

“…If desired, one could coat the pin and thereby evaluate its stresses. The general idea of combining a stress function with measured data is applicable to other experimental approaches of stress/strain analysis [26][27][28][29][30][31][32][33][34][35][36][37][38]. While the present use of 48 coefficients and 440 side conditions was based on previous experience, Refs.…”

“…Stresses in a composite have been determined by combining measured strains (from strain gages) and a stress function [28], whereas Rhee and Rowlands [29] combined moiré-measured displacements and a stress function to evaluate stress intensity factors in orthotropic composites. Several articles [30][31][32][33][34][35][36][37][38] have utilized a stress function to evaluate stresses or stress intensity factors from measured temperatures. In all of these cases, the measured data as processed using a stress function agree well with those from FEM, strain gages or theory.…”

Inverse Reconstruction of Thermal and Mechanical Boundary Conditions in Coupled Nonlinear Thermo-Elastic Problems

“…For example, one can refer to Yasinskii [2008], Lee et al [2009], Grysa et al [2009] and Ishizaka et al [2010]. Some other studies are focused on plates [Gaikwad and Deshmukh, 2005;Shis et al, 2010;Abdel-Halim, 2010;Foust and Rowlands, 2011].…”

The Diametrically Loaded Cylinder for the Study of Nanostructured Aluminum–Graphene and Aluminum–Alumina Nanocomposites Using Digital Image Correlation

“…For this to be possible, supplemental methods are needed to characterize the materials during the tests. Inverse methods have been proposed for characterization of elastic properties of materials and separating stresses using a variety of full-field methods such as Moire (Wang et al, 2005) and thermoelastic stress analysis (Foust and Rowlands, 2011).…”