| Multi-layered folding with voids. | |
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MedLine Citation:
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PMID: 22431755 Owner: NLM Status: PubMed-not-MEDLINE |
Abstract/OtherAbstract:
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In the deformation of layered materials such as geological strata, or stacks of paper, mechanical properties compete with the geometry of layering. Smooth, rounded corners lead to voids between the layers, while close packing of the layers results in geometrically induced curvature singularities. When voids are penalized by external pressure, the system is forced to trade off these competing effects, leading to sometimes striking periodic patterns. In this paper, we construct a simple model of geometrically nonlinear multi-layered structures under axial loading and pressure confinement, with non-interpenetration conditions separating the layers. Energy minimizers are characterized as solutions of a set of fourth-order nonlinear differential equations with contact-force Lagrange multipliers, or equivalently of a fourth-order free-boundary problem. We numerically investigate the solutions of this free-boundary problem and compare them with the periodic solutions observed experimentally. |
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Authors:
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T J Dodwell; G W Hunt; M A Peletier; C J Budd |
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Publication Detail:
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Type: Journal Article |
Journal Detail:
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Title: Philosophical transactions. Series A, Mathematical, physical, and engineering sciences Volume: 370 ISSN: 1364-503X ISO Abbreviation: Philos Trans A Math Phys Eng Sci Publication Date: 2012 Apr |
Date Detail:
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Created Date: 2012-03-20 Completed Date: 2012-07-05 Revised Date: 2013-04-24 |
Medline Journal Info:
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Nlm Unique ID: 101133385 Medline TA: Philos Trans A Math Phys Eng Sci Country: England |
Other Details:
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Languages: eng Pagination: 1740-58 Citation Subset: - |
Affiliation:
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Department of Mechanical Engineering, University of Bath, UK. tjd20@bath.ac.uk |
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From MEDLINE®/PubMed®, a database of the U.S. National Library of Medicine
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