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Publication 24-CNA-003

Mid-surface scaling invariance of some bending strain measures

Amit Acharya
Dept. of Civil & Environmental Engineering
Center for Nonlinear Analysis
Carnegie Mellon University
Pittsburgh, PA 15213
acharyaamit@cmu.edu

Abstract: The mid-surface scaling invariance of bending strain measures proposed in [1] is discussed in light of the work of [3].
[1] Amit Acharya. “A nonlinear generalization of the Koiter–Sanders–Budiansky bending strain measure”. In: International Journal of Solids and Structures 37.39 (2000), pp. 5517–5528.
[3] I. D. Ghiba, M. Bîrsan, P. Lewintan, and Patrizio Neff. “A constrained Cosserat shell model up to order O(h5): modelling, existence of minimizers, relations to classical shell models and scaling invariance of the bending tensor”. In: Journal of Elasticity 146.1 (2021), pp. 83–141.

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