The fundamental solution for shallow circular cylindrical shells. I: Derivations

DOI10.1016/S0020-7225(99)00078-6zbMath1210.74116MaRDI QIDQ531531

Philip J. Morris, Matthew P. Coleman, Puhong You, Goong Chen, Daowei Ma

Publication date: 29 April 2011

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

Mathematics Subject Classification ID

Shells (74K25) Explicit solutions of equilibrium problems in solid mechanics (74G05)

Related Items (3)

Neumann's method for boundary problems of thin elastic shells ⋮ Elastic analysis of axially functionally graded rotating thick cylinder with variable thickness under non-uniform arbitrarily pressure loading ⋮ The fundamental solution for shallow circular cylindrical shells. II: Numerical computation and software

Cites Work

• Generalized functions. Theory and technique
• Die Singularitätenfunktionen der gespannten Platte und der Kreiszylinderschale
• An integral equation method for stress concentration problems in cylindrical shells
• The fundamental solution in the theory of shallow shells
• A modification of the Rayleigh-Ritz method for stress concentration problems in elastostatics
• Singular solutions for shallow shells
• Relation between dislocations and concentrated loadings in the theory of shells
• The Fundamental Solution for a Shallow Shell With an Arbitrary Quadratic Midsurface
• The Fundamental (Normal Point Load) Solution for a Shallow Hyperbolic Paraboloidal Shell
• On the action of concentrated forces and moments on an elastic thin shell of arbitrary shape
• CONCENTRATED LOADS ON SHALLOW SPHERICAL SHELLS
• Concentrated Forces on Shallow Cylindrical Shells
• Singular Solutions to the Shallow Shell Equations
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