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

ISBN-13: 9783642815911 / Angielski / Miękka / 2012 / 777 str.

Walter Wunderlich; E. Stein; K. J. Bathe

Opis

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.

Spis treści

I: General Formulations.- A-posteriori error estimation for the finite element method.- Another look at the application of the principle of virtual work with particular reference to finite plate and shell elements.- New general and complementary energy theorems, finite strain, rate sensitive inelasticity and finite elements: some computational studies.- Formulation of contact problems by assumed stress hybrid elements.- II: Geometrically Nonlinear Problems — Rods and Shells.- Strategies for tracing the nonlinear response near limit points.- Parameter sensitivity of nonlinear structures concerning stability limit.- Behaviour of finite element solutions near a bifurcation point.- Some results in the analysis of thin shell structures.- Nonlinear dynamic finite element analysis of shells.- Elastic collapse analysis of shells via globallocal approach.- Large spatial deformations of rods using generalized variational principles.- Large deflection finite element analysis of pre- and postcritical response of thin elastic frames.- Geometrically correct formulations for curved finite bar elements under large deformations.- III: Physically Nonlinear Problems.- Some nonlinear problems of soil statics and dynamics.- Numerical methods in elasto-plasticity — A comparative study.- Finite element elastoplastic and limit analysis: Some consistency criteria and their implications.- A finite element method for problems in perfect plasticity using discontinuous trial functions.- Finite element analysis for combined material and geometric nonlinearities.- Incremental elastic-plastic deformations of stiffened plates in compression and bending.- A study of some generalized constitutive models for elasto-plastic shells.- An efficient finite element method for elastic plastic analysis of plane frames.- Elasto-plastic boundary element analysis.- Simplified calculation models applied to postbuckling analysis of thin plates.- Finite element analysis of reinforced concrete slabs and panels.- IV: Nonlinear Dynamics.- Finite element analysis of transient nonlinear response of reinforced concrete structures.- An analysis of the stability and convergence properties of a Crank-Nicholson algorithm for nonlinear elasto-dynamics problems.- V: Solution Methods.- Direct solution of equations by frontal and variable band, active column methods.- Solution by iteration in displacement and load spaces.- Partitioned and adaptive algorithms for explicit time integration.- Dynamic relaxation applied to the quasi-static, large deformation, inelastic response of axisymmetric solids.- On the efficient solution of nonlinear finite element systems.- The numerical calculation of the contact problem in the theory of elasticity.- Exterior penalty methods for contact problems in elasticity.- Approximate solution of nonlinear problems in incompressible finite elasticity.- Incompressible finite elements: The LBB condition and the discrete eigenstructure.- VI: Computational Algorithms.- Data management in finite element analysis.- Performance of finite element algorithms on an array processor-miniciomputer based system.- High-speed processors and implication for algorithms and methods.