An Introduction to Differential Geometry with Applications to Elasticity

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A parameter-free variational coupling approach for trimmed isogeometric thin shells (2017, background): “Detailed descriptions of the covariant and contravariant basis can be found in [66].”
Mathematical Justification of the Obstacle Problem in the Case of a Shallow Shell (2008, methodology): “based on inverse function theorem is for instance given in [ 7 ]).”
Mechanical response of fabric sheets to three-dimensional bending, twisting, and stretching (2015, background): “(35) conforms to a widely adopted convention in the literature on shell theory [14].”
Elastic theory of unconstrained non-Euclidean plates (2008, methodology): “The second and more natural path is to preform variations in the mid-surface R (Ciarlet, 2005; Koiter, 1966).”