PSI - Issue 50

5

Dmitry Parshin et al. / Procedia Structural Integrity 50 (2023) 314–319 Author name / Structural Integrity Procedia 00 (2019) 000 – 000

318

( )

 

       1 1 1 ( )      2



,end



 d .

(7)

( )



,0

,end







2

end 0 ) ( a a

2

Let us discuss the calculated result. If we arbitrarily fix where obs  is some observed polar coordinate value and consider an elementary circular layer of material of radius obs  , we can see that, by calculating the initial hoop stress ( ) ,0 obs    that should be set in this layer according to (7), the integral over the spatial variable is to be calculated within the limits obs 0 a    obs   ) (

2

obs   .

end 0 ) ( a a

       a

obs

end

This means that the value of the initial hoop stress in this layer is affected only by the desired values of final hoop stresses ,end   in those elementary layers of material which will be added to the coating ply already after the observed one. Mark also that the program for setting initial hoop stresses ( ) ,0    calculated on the given desired distribution of final hoop stresses ( ) ,end    is influenced in accordance with (7) by the ratio between the internal and the external radii of the created coating ply, as well as by the Poisson’ s ratio of the used material. 5. Conclusions Research in the field of mechanics of growing bodies shows that the presence of technological stresses in additively manufactured products is unavoidable due to the very mechanical specifics of the deformable body layerwise growth process. If, in a process of additive creation of a coating on the surface of a solid body, there is a technological opportunity to influence the individual stress state in which elementary layers of the material being added to the manufactured coating enter into its composition, then we may try to use this circumstance to form the technological stress distributions with desirable properties throughout the coating. This, however, cannot be done without conducting a mathematical research to study the regularities of technological stress evolvement during the realized additive process and to solve the corresponding problems of technological controlling. The present work offers examples of such research for a particular variant of manufacturing the coating plies on cylindrical surfaces of structural elements and machine parts.

Acknowledgement The work was carried out on topic No. 123021700050-1 of the State assignment. References

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