Nonlinear theory of shallow shells. English Ed. ed. by L. P. Lebedev. Transl. from the Russian by Michael Grinfeld

Publication date: 3 February 1999

Published in: Applied Mathematical Sciences (Search for Journal in Brave)

stability Sobolev spaces a priori estimates solvability variational methods non-uniqueness topological methods functional analysis Airy stress functions global uniqueness of solutions

Mathematics Subject Classification ID

Research exposition (monographs, survey articles) pertaining to mechanics of deformable solids (74-02) Membranes (74K15)

Related Items (18)

Finite element method in equilibrium problems for a nonlinear shallow shell with an obstacle ⋮ On solvability of initial boundary-value problems of micropolar elastic shells with rigid inclusions ⋮ Unnamed Item ⋮ Asymptotic justification of equations for von Kármán membrane shells ⋮ A Kirchhoff type equation in a nonlinear model of shell vibration ⋮ A new approach to curvature measures in linear shell theories ⋮ Catastrophes of Cylindrical Shell ⋮ Lagrangian mixed finite element methods for nonlinear thin shell problems ⋮ Global smooth attractors for dynamics of thermal shallow shells without vertical dissipation ⋮ Shallow-shell models by Γ-convergence ⋮ Asymptotic solution of the theory of shell boundary value problem ⋮ Global existence and uniqueness of weak and regular solutions of shallow shells with thermal effects ⋮ Buckling prognosis for thin elastic shallow shells ⋮ Nonlinear partial differential equations of fourth order under mixed boundary conditions ⋮ On the existence of solution in the linear elasticity with surface stresses ⋮ Equilibrium of a Highly Deformable Shallow Shell Pushed Against an Obstacle ⋮ Nonlinear Deformation and Branching of the Solutions of Boundary-Value Problems of the Theory of Shells with Delaminations Under External Pressure ⋮ Prediction and Control of Buckling: The Inverse Bifurcation Problems for von Karman Equations

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