2022
DOI: 10.1016/j.ijsolstr.2021.111372
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A novel approach to reconstruct residual stress fields induced by surface treatments in arbitrary 3D geometries using the eigenstrain method

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Cited by 5 publications
(4 citation statements)
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“…To model both axial and circumferential residual stresses simultaneously, the eigenstrain tensor is introduced as a pseudo-thermal strain tensor, which can be obtained through the coefficient of thermal expansion tensor α th and the temperature change ΔT. 35 For uniform materials, it is usually assumed that residual stresses only vary in the depth direction normal to the treated surface. 36 Therefore, the eigenstrain can be calculated by the simplified equation:…”
Section: Microstructure Instantiationsmentioning
confidence: 99%
See 1 more Smart Citation
“…To model both axial and circumferential residual stresses simultaneously, the eigenstrain tensor is introduced as a pseudo-thermal strain tensor, which can be obtained through the coefficient of thermal expansion tensor α th and the temperature change ΔT. 35 For uniform materials, it is usually assumed that residual stresses only vary in the depth direction normal to the treated surface. 36 Therefore, the eigenstrain can be calculated by the simplified equation:…”
Section: Microstructure Instantiationsmentioning
confidence: 99%
“…The eigenstrain method is used to assign residual stress to SRVE. The permanent inelastic strain that induces the incompatibility and residual stress field within the solid is called “eigenstrain.” 35 By using the residual stress obtained from experiments to fit and calculate the eigenstrain field, the reconstruction of the residual stress field in the model can be completed. However, researchers usually assume that there is an equibiaxial intrinsic strain distribution on a plane tangent to the treated surface, 19,21 which contradicts the experimental results in this paper.…”
Section: Microstructure Modeling Including Surface Integrity Characte...mentioning
confidence: 99%
“…[36][37][38] The advances in the full-field eigenstrain reconstruction [34,35] let further actions to be taken for the reconstruction of full-field distribution of residual stresses in surface-treated arbitrary geometries. [39] Another iterative approach was presented to reconstruct full-field residual stresses formed due to the shot peening process using numerical experiments. [40] The idea of combining evolutionary algorithms with eigenstrain theory in a fuzzy finite element model [36] was also applied to a more complex weld form for full-field reconstruction of residual stresses.…”
Section: Introductionmentioning
confidence: 99%
“…Cai et al [10] proposed a new method to reconstruct the residual stress field after surface treatment of arbitrary three-dimensional geometric structures based on the eigenstrain method of bicubic spline interpolation surface and finite element. Wang et al [11] proposed a method to construct the complete state of residual stress inside a solid through the measured surface residual stress, and reconstructed the initial stress field of the beam model with this method.…”
Section: Introductionmentioning
confidence: 99%