期刊
JOURNAL OF ELASTICITY
卷 111, 期 1, 页码 1-19出版社
SPRINGER
DOI: 10.1007/s10659-012-9391-4
关键词
Developable surfaces; Shell theories; Nonlinear elasticity; Calculus of variations
资金
- EPSRC [EP/F048769/1]
- NSF [DMS-0707275, DMS-0846996, DMS-0907844]
- Polish MN [N N201 547438]
- University of Pittsburgh [CRDF-9003034]
- EPSRC [EP/F048769/1] Funding Source: UKRI
- Engineering and Physical Sciences Research Council [EP/F048769/1] Funding Source: researchfish
- Direct For Mathematical & Physical Scien
- Division Of Mathematical Sciences [0907844] Funding Source: National Science Foundation
- Direct For Mathematical & Physical Scien
- Division Of Mathematical Sciences [1338869] Funding Source: National Science Foundation
We perform a detailed analysis of first order Sobolev-regular infinitesimal isometries on developable surfaces without affine regions. We prove that given enough regularity of the surface, any first order infinitesimal isometry can be matched to an infinitesimal isometry of an arbitrarily high order. We discuss the implications of this result for the elasticity of thin developable shells.
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