2 papers
math.DG2024
Symmetries in the linear theory of the deformation of thin shells
Yoshiki Jikumaru
In this paper, we show that symmetries, which are known in the theory of integrable systems, naturally appeared in the classical linear theory of deformations of thin shells. Our r…
math.DG2024
A derivation of first variation formulas from the strain-displacement relations in thin shell theory
Yoshiki Jikumaru
In this paper, we derive the first variation formulas for surfaces in 3-dimensional Euclidean space by using the ``strain-displacement relations'' known in thin shell theory. For a…