Finite bending of plates into cylindrical shells

  • 25 Accesses

  • 1 Citations


The use of finite components of strain and a linear stress-strain relation shows that a plate can be bent into a cylindrical shell whose section is given by rn cos nθ=an, where n=(3−2σ)−1, σ being the Poisson’s ratio. The case (σ=1/2) and the one given by r2/5 cos2/5 θ=a2/5, (σ=1/4) are discussed in detail.


  1. [1]

    Seth, B. R.,Non-linear continuum mechanics, « Proc. Ind. Sci. Cong. », Part II (1955) — Presidential address to the section of Mathematics at the 42nd session of the Indian Science Congress.

  2. [2]

    Signorini, A., « Rend. Lincei », 12 (1930); 18 (1933); 8 (1950). A complete list of his papers is given in reference (1).

  3. [3]

    Novozilov V. V.,Foundation of the theory of non-linear elasticity, Moscow, 1948Ttheory of Thin Shells, Groningen, 1959.

  4. [4]

    Seth, B. R., « Phil. Tran. Roy. Soc. London ». A 234 (1935), pp. 231–264.

  5. [5]

    —— ——, ZAMM, 37 (1957), 393–398.

Download references

Author information

Additional information

To Antonio Signorini on his 70th birth day.

Rights and permissions

Reprints and Permissions

About this article

Cite this article

Seth, B.R. Finite bending of plates into cylindrical shells. Annali di Matematica 50, 119–125 (1960) doi:10.1007/BF02414507

Download citation


  • Cylindrical Shell
  • Finite Component