Discretization Methods in Structural Mechanics : IUTAM/IACM Symposium Vienna/Austria, 5.–9.6.1989

The advent of the digital computer has given great impetus to the development of modern discretization methods in structural mechanics. The young history of the finite element method (FEM) reflects the dramatic increase of computing speed and storage capacity within a relatively short period of time. The history of the boundary element method (BEM) is still younger. Presently, intense scientific efforts aimed at extending the range of application of the BEM can be observed. More than 10 years ago, O.C. Zienkiewicz and his co-workers published the first papers on the coupling of FE and BE discretizations of subregions of solids for the purpose of exploiting the complementary advantages of the two discretization methods and reducing their disadvantages. The FEM has revolutionized structural analysis in industry as well as academia. The BEM has a fair share in the continuation of this revolution. Both discretization methods have become a domain of vigorous, world-wide research activities. The rapid increase of the number of specialized journals and scientific meetings indicates the remarkable increase of research efforts in this important subdolll.ain of computational ulechanics. Several discussions of this situation in the Committee for Discretization Methods ill Solid Mechanics of the Society for Applied Mathematics and Mechanics (GAMM) resulted in the plan to submit a proposal to the General Assembly of the International Union of Theoretical and Applied Mechanics (IUTAM) to sponsor a pertinent IUTAM Symposium. Front Matter....Pages I-XXVIII Error Estimators and Mesh Adaptation for Thin-Walled Structures at Finite Rotations....Pages 1-12 Treatment of Domain Integrals by Using the Dual and Multiple Reciprocity Methods....Pages 13-28 BIE Solutions for Applied Thermoplasticity by Collocation....Pages 29-38 State Characterization in Sampling Points and Representation of Velocity Fields by Nodal Values as a Basis for Discretization....Pages 39-51 The Method of Consecutively Embedded Finite-Element Models....Pages 53-60 Locally Blending Interpolation Technique in Finite Element Mesh Refinements and Improved Stress Analysis....Pages 61-70 Nonconforming Finite Elements Based on the Free Formulation....Pages 71-82 Assumed Strain Elements with Optimal Interpolation....Pages 83-93 Linear and Nonlinear Transient Problems of Thermomechanics by BEM....Pages 95-104 Dynamic Interaction Analysis in Wave Propagation Problems by a Time-Dependent Boundary Element Method....Pages 105-114 Co-Rotational Beam Elements for Two- and Three-Dimensional Non-Linear Analysis....Pages 115-124 A High-Precision Adaptive Procedure for Solving Kirchhoff Plates....Pages 125-132 Natural Finite Differences in Shell Modelling for Impact Analysis....Pages 133-143 Discretization and Solution Techniques for Liquid Filled Shells of Revolution under Dynamic Loading....Pages 145-155 Novel Computational Strategies for Solution of Large-Scale Structural Problems....Pages 157-167 Consistent Formulation of Shear Constrained Reissner-Mindlin Plate Elements....Pages 169-180 A Nonlinear Shell Theory with Through-The-Thickness Stretch....Pages 181-190 On Symmetrization in Boundary Element Elastic and Elastic-Plastic Analysis....Pages 191-200 A Variational Formulation of the BEM for Elastic-Plastic Analysis....Pages 201-210 Discretized Strategies for the Investigation of Instability Problems in Structural Mechanics....Pages 211-220 On Static and Dynamic Instability Analysis of Thin-Walled Structures....Pages 221-233 Probabilistic Finite Element Analysis of Unsymmetrical Buckling of Thin Shallow Spherical Shells....Pages 235-242 A Combined Analytical and Finite Element Method for Non-Collinear Crack Growth in Brittle Solids....Pages 243-252 Numerical Simulation of Crack Propagation in Shells....Pages 253-261 Discretization Considerations with Hypersingular Integral Formulas for Crack Problems....Pages 263-272 FRANSYS: A Software System for the Simulation of Crack Propagation in Three Dimensions....Pages 273-282 Design Sensitivity Coefficients for Linear Elasticity Problems by the Derivative Boundary Element Method....Pages 283-298 The Panel Clustering Method for BEM....Pages 299-306 Exact Finite Elements for the Linear Buckling Analysis of Unidimensional Structural Problems....Pages 307-316 Coupled Numeric-Symbolic Computations in Structural Mechanics....Pages 317-326 The Implementation of Finite Element Computations in Transputer Based Systems....Pages 327-340 A BEM-Formulation of Nonlinear Plate Vibrations....Pages 341-351 A Unified Approach to the FE and Generalized Variational FD Methods in Nonlinear Mechanics, Concepts and Numerical Approach....Pages 353-362 Stress Analysis of Laminated Composites by Hybrid Finite Elements....Pages 363-372 Liquid Loaded Membranes under Large Deformations....Pages 373-382 Stabilizing and Destabilizing Effects of Small Damping for Structures with Finite Number of Degrees of Freedom....Pages 383-392 Treatment of Micro-Mechanical Phenomena by Finite Elements....Pages 393-405 On the Coupling of Finite Elements and Boundary Elements....Pages 405-414 Three-dimensional Coupling of FEM and BEM in Elasticity....Pages 415-425 Coupling of FE- and BE-Discretizations for 3D-Stress Analysis of Tunnels in Layered Anisotropic Rock....Pages 427-435 The purpose of the book is to report on recent research results, presented at the IUTAM Symposium in Vienna in June 1989. All important aspects of discretization methods in structural mechanics are covered, beginning with the mathematical and mechanical fundamentals and followed by the consideration of different types of structural members. The most important feature of the book is that the two most powerful discretization methods are treated in one book, namely the finite element methods (FEM) and the boundary element methods (BEM). Moreover, combinations of these two methods are considered. The customers can derive the benefit from the book that its contents reflects the forefront of scientific research in a field which is characterized by vigorous, world-wide research activities.