Tensor calculus of locally Cartesian coordinates on a curved surface

DOI10.1016/0020-7225(87)90010-3zbMath0601.73062OpenAlexW1984600489MaRDI QIDQ1081375

L. S. D. Morley

Publication date: 1987

Published in: International Journal of Engineering Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0020-7225(87)90010-3

zbMATH Keywords

tensor calculuscurved surfaceRiemann-Christoffel curvature tensorcoordinate transformation in terms of Taylor series expansionelementarily flatlocally Cartesian coordinatesMainardi-Codazzi equationrepeated differentiation

Mathematics Subject Classification ID

Differential geometric aspects in vector and tensor analysis (53A45) Finite element methods applied to problems in solid mechanics (74S05) Shells (74K25) Membranes (74K15)

Cites Work

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