Abashidze, Zurab Problem of elasticity and plasticity for a plate with a shape of \(n\)-angle weakened by \(n\)-holes. (English) Zbl 1307.74047 Bull. Georgian Natl. Acad. Sci. (N.S.) 8, No. 1, 27-31 (2014). Summary: We consider a homogeneous, isotropic plate with a shape of rectilinear \(n\)-angle weakened by \(n\)-cyclic symmetric holes. The plate is in a stressed state; a region of plasticity contains only contours of holes and does not spread inside of the plate. A problem of elasticity and plasticity for this plate is reduced to a boundary problem of linear relationship for a unit circle with sectionally constant coefficients. The equation of unknown contours of holes is presented; the solution of this problem is obtained. MSC: 74K20 Plates 74B99 Elastic materials 74C99 Plastic materials, materials of stress-rate and internal-variable type Keywords:stressed condition; region of plasticity; boundary problem of linear relationship for unit circle; unknown part of the boundary PDFBibTeX XMLCite \textit{Z. Abashidze}, Bull. Georgian Natl. Acad. Sci. (N.S.) 8, No. 1, 27--31 (2014; Zbl 1307.74047) Full Text: Link