1.

Record Nr.

UNINA9910254236003321

Titolo

Advanced Finite Element Technologies / / edited by Jörg Schröder, Peter Wriggers

Pubbl/distr/stampa

Cham : , : Springer International Publishing : , : Imprint : Springer, , 2016

ISBN

3-319-31925-6

Edizione

[1st ed. 2016.]

Descrizione fisica

1 online resource (239 p.)

Collana

CISM International Centre for Mechanical Sciences, Courses and Lectures, , 0254-1971 ; ; 566

Disciplina

620.00151535

Soggetti

Computer mathematics

Applied mathematics

Engineering mathematics

Mechanics

Mechanics, Applied

Computational Mathematics and Numerical Analysis

Mathematical and Computational Engineering

Theoretical and Applied Mechanics

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Description based upon print version of record.

Nota di bibliografia

Includes bibliographical references at the end of each chapters.

Nota di contenuto

Least-squares mixed finite elements for hyperelasticity -- Discretization methods for solids undergoing finite deformations -- On the use of anisotropic triangles with mixed finite elements: application to an "immersed" boundary with the incompressible Stokes problem -- Stress-based finite element methods in linear and nonlinear solid mechanics -- Topics of mathematical fundamentals, mixed methods in elasticity, and plasticity -- Discontinuous Galerkin methods ND reduced order models.

Sommario/riassunto

The book presents an overview of the state of research of advanced finite element technologies. Besides the mathematical analysis, the finite element development and their engineering applications are shown to the reader. The authors give a survey of the methods and technologies concerning efficiency, robustness and performance aspects. The book covers the topics of mathematical foundations for



variational approaches and the mathematical understanding of the analytical requirements of modern finite element methods. Special attention is paid to finite deformations, adaptive strategies, incompressible, isotropic or anisotropic material behavior and the mathematical and numerical treatment of the well-known locking phenomenon. Beyond that new results for the introduced approaches are presented especially for challenging nonlinear problems.