Infinitesimal Rigidity of Strain Tensors for Shells with Mixed Type and its Applications

2022/06/24 by Liangbiao Chen, Chen, Liang-Biao, Peng‐Fei Yao +1
Engineering · #Composite Material Mechanics #Elasticity and Material Modeling #FOS: Physical sciences #Mathematical Physics (math-ph) #Structural Analysis and Optimization

paper · pdf · doi:10.48550/arxiv.2206.12039

openalex publication_date 2022/06/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We derive an infinitesimal rigidity lemma for the strain tensor of surfaces with their curvatures changing sign. As an application, we obtain the optimal constant in the first Korn inequality scales like h^4/3 for such shells of mixed type.

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