A coordinate-free approach to the kinematics of membranes

DOI10.1007/BF00041068zbMath0582.73011OpenAlexW1989537474MaRDI QIDQ1068575

Chi-Sing Man, Harley Cohen

Publication date: 1986

Published in: Journal of Elasticity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00041068

zbMATH Keywords

kinematicsdeformation gradientpolar decompositionrotation tensorstretch tensorthree-dimensional continuumembedding of the two-dimensional membrane into the three-dimensional Euclidean spacesupplementary new polar decompositiontwo-dimensional membrane

Mathematics Subject Classification ID

Differential geometric aspects in vector and tensor analysis (53A45) Generalities, axiomatics, foundations of continuum mechanics of solids (74A99) Generalities, axiomatics, foundations of continuum mechanics of solids (74Axx)

Related Items (6)

Local symmetry group in the general theory of elastic shells ⋮ Infinitesimally affine deformations of a hypersurface ⋮ Kinematics of hypersurfaces in Riemannian manifolds ⋮ Residual stress in membranes ⋮ Evolution of surfaces and the kinematics of membranes ⋮ Residual stress in an elastic body: A theory for small strains and arbitrary rotations

Cites Work

• Unnamed Item
• Unnamed Item
• A mathematical theory of the mechanical behavior of continuous media
• A continuum theory of elastic material surfaces
• The influence of the reference geometry on the response of elastic shells
• On the Generality of the AP-Integral
• Zur Elastizitätstheorie endlicher Verformungen

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