附註:Includes bibliographical references (pages 355-374) and index.
The fundamental boundary value problems of the non-linear theory of shallow shells -- Mathematical prerequisites -- The topological method of solution of the fundamental boundary value problems of the non-linear theory of shallow shells in terms of displacements -- The topological methods of solution of the fundamental boundary value problems of the non-linear theory of shallow shells in terms of a stress function -- The variational methods of solution of the boundary value problems of the non-linear theory of shallow shells -- Some numerical-analytic methods in the non-linear theory of shallow shells -- Direct methods in the non-linear theory of shallow shells -- Formulation of the stability problems -- Global uniqueness of solutions -- The rigidity of shells -- Classes of well-posedness -- The global stability of the momentless stress-strain state of a shallow shell -- The existences of a lower critical number.
摘要:This book presents rigorous treatment of boundary value problems in nonlinear theory of shallow shells. The consideration of the problems is carried out using methods of nonlinear functional analysis.