The kinematics of plate models: a geometrical deduction

DOI10.1007/S10659-007-9133-1zbMath1147.74032OpenAlexW2016289769MaRDI QIDQ948778

Françoise Krasucki, Michele Serpilli, Giuseppe Geymonat

Publication date: 20 October 2008

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

Full work available at URL: https://doi.org/10.1007/s10659-007-9133-1

zbMATH Keywords

asymptotic expansioncompatibility conditionsCesàro-Volterra integral

Mathematics Subject Classification ID

Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of equilibrium problems in solid mechanics (74G10) Plates (74K20)

Related Items (3)

Buckling of thin-walled cylinders from three dimensional nonlinear elasticity ⋮ CESÀRO–VOLTERRA PATH INTEGRAL FORMULA ON A SURFACE ⋮ Poincaré path integrals for elasticity

Cites Work

• An exact derivation of the thin plate equation
• Beltrami's solutions of general equilibrium equations in continuum mechanics
• On the characterizations of matrix fields as linearized strain tensor fields
• A Stokes theorem for second-order tensor fields and its implications in continuum mechanics
• Duality characterization of strain tensor distributions in an arbitrary open set
• A JUSTIFICATION OF THE REISSNER–MINDLIN PLATE THEORY THROUGH VARIATIONAL CONVERGENCE
• ANOTHER APPROACH TO LINEARIZED ELASTICITY AND A NEW PROOF OF KORN'S INEQUALITY
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