Mathematical Modelling at Residual Stresses Identification

Authors research the task of aluminum plate geometric parameters at excision of surface layer material on both sides of considering billet. This allows us to use the hypothesis of the identity of the areas of the regions of considering stresses. The authors propose a non-standard approach to residual stresses identification for different variants of removing the surface layer with researching billet into account transformations in the residual stress diagram. They take into account the transformation of the residual stress diagram type at changing the thickness of the aluminum billet. The known theoretical provisions on the type of residual stress diagram and the standard integral mathematical apparatus are the basis of the proposed approach. This allows us to build a mathematical model of changing the type of residual stress diagram depending on the thickness of the surface layer removal of the research aluminum plate. The authors research the change in the geometry of the studied workpiece taking into account the correction of the parameters of the residual stress diagram. This makes it possible to use the hypothesis of the equality of the areas of compressive and tensile residual stresses. The obtained results clarify the known theoretical provisions on changing the residual stress diagram after mechanical processing of the studied workpieces made of aluminum alloys.

Keywords

integral transformations; mathematical modeling; residual stresses; aluminum billets.

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