Mid-Surface Scaling Invariance of Some Bending Strain Measures

Author:

Acharya Amit

Abstract

AbstractThe mid-surface scaling invariance of bending strain measures proposed in (Int. J. Solids Struct. 37(39):5517–5528, 2000) is discussed in light of the work of (J. Elast. 146(1):83–141, 2021).

Funder

Carnegie Mellon University

Publisher

Springer Science and Business Media LLC

Reference6 articles.

1. Acharya, A.: A nonlinear generalization of the Koiter–Sanders–Budiansky bending strain measure. Int. J. Solids Struct. 37(39), 5517–5528 (2000)

2. Budiansky, B., Sanders, J.L.: On the ‘Best’ first-order linear shell theory. In: Progress in Applied Mechanics (the Prager Anniversary Volume), pp. 129–140 (1963)

3. Ghiba, I.D., Bîrsan, M., Lewintan, P., Neff, P.: A constrained Cosserat shell model up to order $O(h^{5})$: modelling, existence of minimizers, relations to classical shell models and scaling invariance of the bending tensor. J. Elast. 146(1), 83–141 (2021)

4. Koiter, W.T.: A consistent first approximation in the general theory of thin elastic shells. In: Proceedings of the IUTAM Symposium on the Theory of Thin Shells, pp. 12–33. North-Holland, Amsterdam (1960)

5. Virga, E.G.: Pure measures of bending for soft plates. Soft Matter 20(1), 144–151 (2024)

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