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Space of Infinitesimal Isometries and Bending of Shells by Yao, Peng-Fei is a scholarly article available to read on EtoBox.

What is Space of Infinitesimal Isometries and Bending of Shells about?

We discuss infinitesimal isometries of the middle surfaces and present some characteristic conditions for a function to be the normal component of an infinitesimal isometry. Our results show that those characteristic conditions depend on the Gaussian curvature of the middle surfaces: Normal components of infinitesimal isometries satisfy an elliptic problem, or a parabolic one, or a hyperbolic one according to the middle surface being elliptic, or parabolic, or hyperbolic, respectively. In those cases, a problem of determining an infinitesimal isometry is changed into that of 1-dimension. Then we apply those results to the energy functionals of bending of shells which has been obtained as two-dimensional problems by the limit theory of Gamma-convergence from the three-dimensional nonlinear elasticity. Therefore the limit theory of Gamma-convergence reduces to be a one-dimensional problem in the those cases.

Author

Yao, Peng-Fei

Published

2013

Language

EN