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A New Measuring Method of Residual Stresses with the Aid of Finite Element Method and Reliability of Estimated Values

Yukio Ueda, +3 more
- 01 Oct 1975 - 
- Vol. 4, Iss: 2, pp 123-131
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TLDR
In this paper, a general theory is developed based on the finite element method, which can be used to measure three dimensional residual stresses and reliability of estimated values, when error is contained in the measured strains.
Abstract
In estimation of residual stresses, the existing methods are mainly based on the idea that variation of strains on the surface of the object is measured by sectioning continuously until there is no variation of the measured strains, which corresponds to the residual stresses. In this kind of method, some definite mathematical relation between the variation of stresses and the released surface force is required. This kind of relation was obtained for the cases where the geometry, boundary condition, and pattern of residual stress distribution are simple. This difficulty is solved when numerical analytical methods, such as the finite element method, etc. are applied.In this paper, a general theory is developed based on the finite element method. With this method, three dimensional residual stresses can be measured. Furthermore, reliability of estimated values, of residual stresses by this method is mathematically studied when error is contained in the measured strains.

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Journal ArticleDOI

Evaluation of residual stresses and strains using the Eigenstrain Reconstruction Method

TL;DR: The Eigenstrain Reconstruction Method (ERM) as mentioned in this paper is a semi-empirical approach that combines experimental characterisation, specifically, residual elastic strain measurement by diffraction, with subsequent analysis and interpretation based on the eigen-strain theory.
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Relaxation Methods for Measuring Residual Stresses: Techniques and Opportunities

TL;DR: Relaxation methods, also called "destructive" methods, are commonly used to evaluate residual stresses in a wide range of engineering components and are very frequently the preferred choice because of their versatility and reliability as discussed by the authors.
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Modelling welding residual stress and distortion: current and future research trends

TL;DR: In this article, the authors discuss some of the more recent developments in modelling residual stress and distortion and suggest issues for further research, including consideration of thermal transport in residual stress, the development of applied strain methods for very large and complex structures, modelling of friction stir welding, sensitivity analysis and adaptive meshing.
Journal ArticleDOI

An inverse approach to construct residual stresses existing in axisymmetric structures using BEM

TL;DR: Based on the concept of the inherent strain and BEM, an inverse approach has been proposed for constructing residual stresses existing in axisymmetric structures in this paper, taking into consideration of the efficiency of the algorithm and stability of the solution to the inverse problem, the inherent strains are approximately expressed as a series of smooth basis functions in the form of polynomials.
Journal ArticleDOI

Partial polar decomposition inverse method applied to determination of internal stresses in an elastic complex structure

TL;DR: In this article, an inverse method is developed to evaluate a distribution of internal-stress tractions on an internal surface of an elastic complex structure by measuring a remote displacement field generated when the surface of interest is sectioned.
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