Nonlinear Finite Element Analysis in Structural Mechanics : Proceedings of the Europe-U.S. Workshop Ruhr-Universität Bochum, Germany, July 28–31, 1980

With the rap1d development of computational capab1lities, nonl1near f1nite element analys1s 1n structural mechan1CS has become an 1mportant field of research. Its objective is the real1stic assessment of the actual behaV10r of structures by numerical methods. Th1S requires that all nonlinear effects, such as the nonl1near character1stics of the mater1al and large deformations be taken 1nto account. The act1vities in th1S f1eld be1ng worldw1de, d1rect 1nteraction between the various research groups 1S necessary to coordinate future research and to overcome the time gap between the generat10n of new results and the1r appearance 1n the 11terature. The f1rst U.S.-Germany Sympos1um was held 1n 1976 at the Massachusetts Inst1tute of Technology. Under the general to P1C "Formulat1ons and Computat1onal Algorithms in Fin1te Ele ment Analysis" 1t prov1ded an opportun1ty for about 20 re searchers from each country to present lectures, hold discus sions, and establ1sh mutual contacts. The success of th1S first sympos1um was so encourag1ng that 1t seemed natural to organ- 1ze a second bilateral meet1ng, this time 1n Germany, and to 1nv1te researchers from other European countr1es as well Front Matter....Pages I-XIII Front Matter....Pages 1-1 A-posteriori Error Estimation for the Finite Element Method....Pages 3-10 Another Look at the Application of the Principle of Virtual Work with Particular Reference to Finite Plate and Shell Elements....Pages 11-27 New General and Complementary Energy Theorems, Finite Strain, Rate Sensitive Inelasticity and Finite Elements: Some Computational Studies....Pages 28-48 Formulation of Contact Problems by Assumed Stress Hybrid Elements....Pages 49-59 Front Matter....Pages 61-61 Strategies for Tracing the Nonlinear Response Near Limit Points....Pages 63-89 Parameter Sensitivity of Nonlinear Structures Concerning Stability Limit....Pages 90-108 Behaviour of Finite Element Solutions Near a Bifurcation Point....Pages 109-121 Some Results in the Analysis of Thin Shell Structures....Pages 122-150 Nonlinear Dynamic Finite Element Analysis of Shells....Pages 151-168 Elastic Collapse Analysis of Shells Via Global-Local Approach....Pages 169-184 Large Spatial Deformations of Rods Using Generalized Variational Principles....Pages 185-216 Large Deflection Finite Element Analysis of Pre- and Postcritical Response of Thin Elastic Frames....Pages 217-235 Geometrically Correct Formulations for Curved Finite Bar Elements Under Large Deformations....Pages 236-256 Front Matter....Pages 257-257 Some Nonlinear Problems of Soil Statics and Dynamics....Pages 259-273 Numerical Methods in Elasto-Plasticity — A Comparative Study....Pages 274-289 Finite Element Elastoplastic and Limit Analysis: Some Consistency Criteria and Their Implications....Pages 290-306 A Finite Element Method for Problems in Perfect Plasticity Using Discontinuous Trial Functions....Pages 307-324 Finite Element Analysis for Combined Material and Geometric Nonlinearities....Pages 325-338 Incremental Elastic-Plastic Deformations of Stiffened Plates in Compression and Bending....Pages 339-363 A Study of Some Generalized Constitutive Models for Elasto-Plastic Shells....Pages 364-384 Front Matter....Pages 257-257 An Efficient Finite Element Method for Elastic-Plastic Analysis of Plane Frames....Pages 385-402 Elasto-Plastic Boundary Element Analysis....Pages 403-434 Simplified Calculation Models Applied to Postbuckling Analysis of Thin Plates....Pages 435-451 Finite Element Analysis of Reinforced Concrete Slabs and Panels....Pages 452-478 Front Matter....Pages 479-479 Finite Element Analysis of Transient Nonlinear Response of Reinforced Concrete Structures....Pages 481-501 An Analysis of the Stability and Convergence Properties of a Crank-Nicholson Algorithm for Nonlinear Elasto-Dynamics Problems....Pages 502-518 Front Matter....Pages 519-519 Direct Solution of Equations by Frontal and Variable Band, Active Column Methods....Pages 521-552 Solution by Iteration in Displacement and Load Spaces....Pages 553-571 Partitioned and Adaptive Algorithms for Explicit Time Integration....Pages 572-584 Dynamic Relaxation Applied to the Quasi-Static, Large Deformation, Inelastic Response of Axisymmetric Solids....Pages 585-620 On the Efficient Solution of Nonlinear Finite Element Systems....Pages 621-636 The Numerical Calculation of the Contact Problem in the Theory of Elasticity....Pages 637-654 Exterior Penalty Methods for Contact Problems in Elasticity....Pages 655-665 Approximate Solution of Nonlinear Problems in Incompressible Finite Elasticity....Pages 666-695 Incompressible Finite Elements: The LBB Condition and the Discrete Eigenstructure....Pages 696-711 Front Matter....Pages 713-713 Data Management in Finite Element Analysis....Pages 715-741 Performance of Finite Element Algorithms on an Array Processor-Minicomputer Based System....Pages 742-757 High-Speed Processors and Implication for Algorithms and Methods....Pages 758-777