On the compatibility conditions in a curved membrane

DOI10.1007/BF02128555zbMath0491.73079OpenAlexW2077885375MaRDI QIDQ1167588

Mauro Benati

Publication date: 1981

Published in: Meccanica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02128555

zbMATH Keywords

compatibility conditionsgiven non-constant Gaussian curvatureintegrability conditions reduce to twonon-holonomic basisstrain and its derivatives up to third and fifth ordersystem for unknown displacement in general coordinatesunifies discussion for rotation surfaces, geodesically parallel surfaces and general surfaces

Mathematics Subject Classification ID

Membranes (74K15)

Cites Work

• Equilibrium and congruence on a rotation surface
• On the formal structure of continuum mechanics. I: Deformation theory
• Indetermination of the stress functions on a curved membrane
• The intrinsical coordinates of the integration of equations of the continuum mechanics
• GENERAL SOLUTION FOR THE STRESSES IN A CURVED MEMBRANE
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