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In analogy to the theory of wide curved beams, the basic equations for a cylindrically curved panel of homogeneous thickness in a state of plane strain subject to a radial temperature gradient are derived. The ends of this thick-walled shell are presupposed to be guided in such a way that a displacement in circumferential direction may occur and that the radius of the initial middle surface remains unchanged. Then, couples act on those ends, giving rise to pure bending conditions. Based thereon, the stresses occurring for a heated inner and/or outer surface are analyzed, and - taking thermal softening and hence a reduced yield stress into account - the elastic limits according to the yield criteria of Tresca and von Mises are discussed comprehensively. © 2013 Springer-Verlag Berlin Heidelberg. |
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