Wunderlich / Stein / Bathe Nonlinear Finite Element Analysis in Structural Mechanics

Proceedings of the Europe-U.S. Workshop Ruhr-Universität Bochum, Germany, July 28–31, 1980
Erscheinungsjahr 2013
ISBN: 978-3-642-81589-8
Verlag: Springer
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, 777 Seiten, eBook

Zielgruppe

Research

Autoren/Hrsg.

Wunderlich, W.

Stein, E.

Bathe, K.J.

Inhaltsverzeichnis

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 ofplane 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.