Abstract
In the frame of the non-Euclidean model of a continuous medium for which the Saint-Venant compatibility condition for deformations is not fulfilled, an equation for the Airy stress function was derived. A representation was constructed for the field of internal stresses, and it was shown to consist of the classical field of elastic stresses and the stress field parameterized through the incompatibility function. The obtained relations of the non-Euclidean continuum model were used to describe the internal residual stresses in the samples. The phenomenological parameters of the model were determined using the experimental data of the residual stresses measurement.
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The study was carried in the frame of RSF, project № 19-19-00408.
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Guzev, M.A. (2021). The Airy Stress Function for Non-Euclidean Model of a Continuous Medium and Description of Residual Stresses. In: Favorskaya, M.N., Favorskaya, A.V., Petrov, I.B., Jain, L.C. (eds) Smart Modelling For Engineering Systems. Smart Innovation, Systems and Technologies, vol 214. Springer, Singapore. https://doi.org/10.1007/978-981-33-4709-0_7
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DOI: https://doi.org/10.1007/978-981-33-4709-0_7
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