Shallow arch models. An asymptotic approach

DOI10.1007/BF00042452zbMath0873.73040OpenAlexW2030255610MaRDI QIDQ1357180

Andrzej J. Karwowski

Publication date: 20 July 1997

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

Full work available at URL: https://doi.org/10.1007/bf00042452

zbMATH Keywords

principles of virtual workapproximate equations of motionhomogeneous hyperelastic materialstime-dependent displacement field

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Strings (74K05)

Related Items (1)

Characterization of the Bernoulli-Navier model for a rectangular section beam as the limit of the Kirchhoff-Love model for a plate

Cites Work

• Asymptotic models for a long, elastic cylinder
• A justification of the Marguerre-von Kármán equations
• Material constraints, Lagrange multipliers, and compatibility. Applications to rod and shell theories
• The theory of Kirchhoff rods as an exact consequence of three-dimensional elasticity
• The principle of virtual work and integral laws of motion
• New phenomena in the buckling of arches described by refined theories
• Dynamical models for plates and membranes. An asymptotic approach
• Multiple Equilibrium States of Nonlinearly Elastic Strings
• The Equations for Large Vibrations of Strings
• Nonlinear problems of elasticity
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