Geodesic
Creep theory inverse problem for non-work-hardening body
Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, Tome 135 (2014) no. 2, pp. 115-124 Cet article a éte moissonné depuis la source Math-Net.Ru

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The body formation by constant external forces in the conditions of the steady-state creep during set time problem is formulated and solved so that after removal of loadings the movements of points of a surface accepted preset values. The case of small deformations is considered. At certain assumptions and restrictions the uniqueness theorem for the solution of this task is proved. Applied questions of a problem of finding the external influences which are necessary for receiving a demanded shape of a body for set time in the conditions of rheological deformation after removal of external forces (taking into account elastic unloading) are analyzed. The analysis of a thin-walled isotropic plate for a case of a flat tension is made in details. The solution for movements is searched in the form of an expansion in small parameter. The model solution for a round plate of single radius under the influence of constant external loadings which should have the set field of movements after creep and elastic unloading is provided.
Keywords: steady-state creep, inverse boundary problem, shaping, constant loadings, small deformations, Drukker's postulate for viscous deformations, round thin plate. 
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I. Yu. Tcvelodub. Creep theory inverse problem for non-work-hardening body. Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, Tome 135 (2014) no. 2, pp. 115-124. http://geodesic.mathdoc.fr/item/VSGTU_2014_135_2_a9/

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