Elastic theory of unconstrained non-Euclidean plates

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Elastic theory of unconstrained non-Euclidean plates

Non-Euclidean plates are a subset of the class of elastic bodies having no stress-free configuration. Such bodies exhibit residual stress when relaxed from all external constraints, and may assume complicated equilibrium shapes even in the absence of external forces. In this work we present a mathematical framework for such bodies in terms of a covariant theory of linear elasticity, valid for l...

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ژورنال

عنوان ژورنال: Journal of the Mechanics and Physics of Solids

سال: 2009

ISSN: 0022-5096

DOI: 10.1016/j.jmps.2008.12.004