A Concise Derivation of Membrane Theory from Three-Dimensional Nonlinear Elasticity
نویسندگان
چکیده
منابع مشابه
A concise derivation of membrane theory from three-dimensional nonlinear elasticity
Membrane theory may be regarded as a special case of the Cosserat theory of elastic surfaces, or, alternatively, derived from three-dimensional elasticity theory via asymptotic or variational methods. Here we obtain membrane theory directly from the local equations and boundary conditions of the three-dimensional theory. 1. Three-dimensional prismatic bodies Let F, with detF > 0, be the gradien...
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ژورنال
عنوان ژورنال: Journal of Elasticity
سال: 2009
ISSN: 0374-3535,1573-2681
DOI: 10.1007/s10659-009-9209-1