Geodesic
To the Formation of Residual Stress Field in the Vicinity of a Spherical Cavity Viscoelastoplastic Material
Dalʹnevostočnyj matematičeskij žurnal, Tome 12 (2012) no. 2, pp. 146-159

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Exact solution of a sequence of one-dimensional boundary value problems on the formation of a neighborhood of single spherical defect continuity viscoelastoplastic hydrostatic pressure, followed by unloading and heating are resulted. The level and distribution of residual stresses and the relaxation of the latter when heated are calculated. It is accepted, that properties of a material submit to linear viscoelastic Voigt model at a stage anticipating plastic flow, and at unloading, and the yield stress depends on temperature. 
@article{DVMG_2012_12_2_a2,
     author = {A. A. Burenin and L. V. Kovtanjuk and I. A. Terletskiy},
     title = {To the {Formation} of {Residual} {Stress} {Field} in the {Vicinity} of a {Spherical} {Cavity} {Viscoelastoplastic} {Material}},
     journal = {Dalʹnevosto\v{c}nyj matemati\v{c}eskij \v{z}urnal},
     pages = {146--159},
     publisher = {mathdoc},
     volume = {12},
     number = {2},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/DVMG_2012_12_2_a2/}
}
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A. A. Burenin; L. V. Kovtanjuk; I. A. Terletskiy. To the Formation of Residual Stress Field in the Vicinity of a Spherical Cavity Viscoelastoplastic Material. Dalʹnevostočnyj matematičeskij žurnal, Tome 12 (2012) no. 2, pp. 146-159. http://geodesic.mathdoc.fr/item/DVMG_2012_12_2_a2/