Advanced Finite Element Technologies

Jörg Schröder, Peter Wriggers (Herausgeber)

Buch | Softcover

VII, 236 Seiten

2018 | 1. Softcover reprint of the original 1st ed. 2016
Springer International Publishing (Verlag)
978-3-319-81155-0 (ISBN)

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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.

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.

Erscheinungsdatum	05.03.2022
Reihe/Serie	CISM International Centre for Mechanical Sciences
Zusatzinfo	VII, 236 p. 92 illus., 47 illus. in color.
Verlagsort	Cham
Sprache	englisch
Maße	155 x 235 mm
Gewicht	3752 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
	Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
	Mathematik / Informatik ► Mathematik ► Wahrscheinlichkeit / Kombinatorik
	Technik ► Maschinenbau
Schlagworte	Advanced discretization methods • Advanced finite element technologies • discontinuous Galerkin methods • Least-Squares Methods • Mathematical FEM fundamentals
ISBN-10	3-319-81155-X / 331981155X
ISBN-13	978-3-319-81155-0 / 9783319811550
Zustand	Neuware