Finite Rotations in Structural Mechanics : Proceedings of the Euromech Colloquium 197, Jabłonna, Poland, 1985

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. Front Matter....Pages I-XII Intrinsic Shell-Theory Formulation Effective for Large Rotations and an Application....Pages 1-18 On Geometrically Non-Linear Theory of Elastic Shells Derived from Pseudo-Cosserat Continuum with Constrained Micro-Rotations....Pages 19-32 Some Mathematical Results Related to Nonlinear Thin Shell Problems....Pages 33-46 Postcritical Deformations of Meridional Cross-Section of Elastic Toroidal Shells Subject to External Pressure....Pages 47-61 The Complementary Energy Principle in Finite Elastostatics as a Dual Problem....Pages 62-81 Finite Rotations and Complementary Extremum Principles....Pages 82-100 Deformation of the Shell Boundary....Pages 101-110 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....Pages 111-120 Fundamental Equations and Extremum Principles in the Theory of Thin Shells....Pages 121-130 Inhomogeneity and Rotation....Pages 131-135 On a General Theory of Large Rotations and Small Strain with Application to Three-Dimensional Beam Structures....Pages 136-147 Finite Displacement Theory of Naturally Curved and Twisted Beams with Finite Rotations....Pages 148-157 Higher-Order Moderate Rotation Theories for Elastic Anisotropic Plates....Pages 158-174 Finite Strains and Rotations in Shells....Pages 175-194 Theory of Thin-Walled Elastic Beams with Finite Displacements....Pages 195-209 One-Dimensional Finite Rotation Shell Problems in Displacement Formulation....Pages 210-223 On the Derivation and Efficient Computation of Large Rotation Shell Models....Pages 224-238 Rotations as Primary Unknowns in the Nonlinear Theory of Shells and Corresponding Finite Element Models....Pages 239-258 Polar Decomposition and Finite Rotation Vector in First — Order Finite Elastic Strain Shell Theory....Pages 259-271 Nonlinear Models of Deformed Thin Bodies with Separation of the Finite Rotation Field....Pages 272-285 Ultimate Load Analysis of thin Walled Steel Structures with Elastoplastic Deformation Properties Using Fem — Theoretical, Algorithmic and Numerical Investigations —....Pages 286-305 Compatibility of Rotations with the Change-of-Metric Measures in a Deformation of a Material Surface....Pages 306-316 Finite Rotations, Variational Principles and Buckling in Shell Theory....Pages 317-332 Numerical Analysis of Thin-Walled Structure Finite Displacements....Pages 333-342 Elastic-Plastic Structures under Variable Loads at Small Strains and Moderate Rotations....Pages 343-356 Finite Rotations in the Approximation of Shells....Pages 357-368 Finite Rotations of Linear Elastic Bodies....Pages 369-379 Back Matter....Pages 381-381