Abstract
Background
Finite element models used for simulations of axisymmetric features within a material with “infinite” boundaries can get large and computationally burdensome because they typically require large meshes to simulate adequately the far boundary conditions. Previous work, using hole-drilling residual stress calibration coefficient calculations as an example, has described a method whereby an outer ring of higher stiffness material is placed around the region of interest to simulate the effect of the far-field material. However, the approach works only for isotropic stresses or for deviatoric stresses. This feature makes it unsuited to the analysis of high-level general stress states where non-linearities caused by plastic deformations preclude the use of superposition.
Objective
To develop a modeling procedure where quasi-infinite boundary conditions can be modeled for a general stress state.
Methods
Material stresses are modeled as fictitious thermal loads. The directional character of general stress is accommodated by reversing the common practice and using the temperature difference as the proportionality constant and the thermal expansion coefficients as the loading parameter.
Results
The proposed thermal loading procedure enables quasi-infinite boundary conditions to be simulated for general stress states. Example radial deformation calculations showed correspondence with theoretical expectations within 1% of their maximum values.
Conclusions
The proposed method was shown to be suitable for general stress states. This is particularly useful for analyses of high level residual stresses where non-linearities caused by plasticity preclude the use of superposition.
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The work was financially supported by the Natural Sciences and Engineering Research Council of Canada (NSERC).
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Schajer, G.S., To, L. Simulation of Infinite Boundaries for Axisymmetric Finite Element Models. Exp Mech 63, 965–971 (2023). https://doi.org/10.1007/s11340-023-00963-w
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DOI: https://doi.org/10.1007/s11340-023-00963-w