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Statements
1982
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direct approach
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not necessarily elastic shell-like bodies
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modelled by Cosserat surface or directed surface
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embedded in Euclidean 3-space
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directors non necessarily along normals to surface
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general bending theory of thin shells
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local field equations
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define form of kinetic energy and of momentum corresponding to velocity
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director velocity
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existence of strain energy density
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constraints by linear relations between kinematic variables
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approximation of incompressibility condition
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identification of involved coefficients
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Cosserat surface
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director always along normal to material surface
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basic equations for Cosserat surfaces in coordinate-free notation
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Cosserat curves
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