Finite Rotations in Structural Mechanics

The deformation near a material particle of the classical continuum is produced by successive superposition of a rigid-body translation, a pure stretch along principal directions of strain and a rigid-body ro tation of those directions. The rotational part of deformation is par ticularly important in the non-linear analysis of thin-walled solid structures such as ~eams, thin-walled bars, plates and shells, since in this case finite rotations may appear even if the strains are infinite simal. It seems that the research concerning the application of finite ro tations is carried out independently in different fields of structural mechanics. Theoretical and numerical methods developed and the results obtained for a particular type of the structure or for a particular ma terial behaviour not always are used to analyse similar problems for other types of structures or for another material behaviour. Since the research in this field had been growing rapidly, it was decided to organize an informal international meeting, under the auspi ces of the European Mechanics Co~mittee, entitled: Euromech Colloquium 197 "Finite Rotations in Structural Mechanics". The meeting was held on 17 - 20 September 1985 in Jablonna, a small suburbian area of Warsaw.

Contenu
Intrinsic shell-theory formulation effective for large rotations and an application.- On geometrically nonlinear theory of elastic shells derived from pseudo-Cosserat continuum with constrained microrotations.- Some mathematical results related to nonlinear thin shell problems.- Postcritical deformations of meridional cross-section of elastic torodial shells subject to external pressure.- The complementary energy principle in finite elastostatics as a dual problem.- Finite rotations and complementary extremum principles.- Deformation of the shell boundary.- Comparison of numerical results for nonlinear finite element analysis of beams and shells based on 2-D elasticity theory and on novel finite rotation theories for thin structures.- Fundamental equations and extremum principles in the theory of thin shells.- Inhomogeneity and rotation.- On a general theory of large rotations and small strain with application to three-dimensional beam structures.- Finite displacement theory of naturally curved and twisted beams with finite rotations.- Higher-order moderate rotation theories for elastic anisotropic plates.- Finite strains and rotations in shells.- Theory of thin walled elastic beams with finite displacements.- One-dimensional finite rotation shell problems in displacement formulation.- On the derivation and efficient computation of large rotation shell models.- Rotations as primary unknowns in the nonlinear theory of shells and corresponding finite element models.- Polar decomposition and finite rotation vector in first-order finite elastic strain shell theory.- Nonlinear models of deformed thin bodies with separation of the finite rotation field.- Ultimate load analysis of thin walled steel structures with elastoplastic deformation properties using FEM-Theoretical, algorithmic and numerical investigations.- Compatibility of rotations with the change-of-metric measures in a deformation of a material surface.- Finite rotations, variational principles and buckling in shell theory.- Numerical analysis of thin-walled structure finite displacements.- Elasto-plastic structures under variable loads at small strains and moderate rotations.- Finite rotations in the approximation of shells.- Finite rotations of linear elastic bodies.