Discretization Methods for Solids Undergoing Finite Deformations

Publikation: Beitrag in Buch/Bericht/Sammelwerk/KonferenzbandBeitrag in Buch/SammelwerkForschungPeer-Review

Organisationseinheiten

Forschungs-netzwerk anzeigen

Details

OriginalspracheEnglisch
Titel des SammelwerksAdvanced Finite Element Technologies
Herausgeber (Verlag)Springer International Publishing AG
Seiten17-51
Seitenumfang35
PublikationsstatusVeröffentlicht - 20 Mai 2016

Publikationsreihe

NameCISM International Centre for Mechanical Sciences, Courses and Lectures
Band566
ISSN (Print)0254-1971
ISSN (elektronisch)2309-3706

Abstract

Finite element methods for solving engineering problems are used since decades in industrial applications. This market is still growing and the underlying methodologies, formulations, and algorithms seem to be settled. But still there are open questions and problems when applying the finite element method to situations where finite strains occur. Another problem area is the incorporation of constraints into the formulations, such as incompressibility, contact, and directional constraints needed to formulate anisotropic material behavior. In this section, we present the basic continuum formulation and different discretization techniques that can be used to overcome the problems mentioned above. Additionally, a set of test problems is presented that can be applied to test new finite element formulations.

ASJC Scopus Sachgebiete

Zitieren

Discretization Methods for Solids Undergoing Finite Deformations. / Wriggers, Peter.
Advanced Finite Element Technologies . Springer International Publishing AG, 2016. S. 17-51 (CISM International Centre for Mechanical Sciences, Courses and Lectures; Band 566).

Publikation: Beitrag in Buch/Bericht/Sammelwerk/KonferenzbandBeitrag in Buch/SammelwerkForschungPeer-Review

Wriggers, P 2016, Discretization Methods for Solids Undergoing Finite Deformations. in Advanced Finite Element Technologies . CISM International Centre for Mechanical Sciences, Courses and Lectures, Bd. 566, Springer International Publishing AG, S. 17-51. https://doi.org/10.1007/978-3-319-31925-4_2
Wriggers, P. (2016). Discretization Methods for Solids Undergoing Finite Deformations. In Advanced Finite Element Technologies (S. 17-51). (CISM International Centre for Mechanical Sciences, Courses and Lectures; Band 566). Springer International Publishing AG. https://doi.org/10.1007/978-3-319-31925-4_2
Wriggers P. Discretization Methods for Solids Undergoing Finite Deformations. in Advanced Finite Element Technologies . Springer International Publishing AG. 2016. S. 17-51. (CISM International Centre for Mechanical Sciences, Courses and Lectures). doi: 10.1007/978-3-319-31925-4_2
Wriggers, Peter. / Discretization Methods for Solids Undergoing Finite Deformations. Advanced Finite Element Technologies . Springer International Publishing AG, 2016. S. 17-51 (CISM International Centre for Mechanical Sciences, Courses and Lectures).
Download
@inbook{39be42609fd448619c791d165c23385d,
title = "Discretization Methods for Solids Undergoing Finite Deformations",
abstract = "Finite element methods for solving engineering problems are used since decades in industrial applications. This market is still growing and the underlying methodologies, formulations, and algorithms seem to be settled. But still there are open questions and problems when applying the finite element method to situations where finite strains occur. Another problem area is the incorporation of constraints into the formulations, such as incompressibility, contact, and directional constraints needed to formulate anisotropic material behavior. In this section, we present the basic continuum formulation and different discretization techniques that can be used to overcome the problems mentioned above. Additionally, a set of test problems is presented that can be applied to test new finite element formulations.",
keywords = "Deformation Gradient, Finite Element Formulation, Gauss Point, Initial Configuration, Weak Form",
author = "Peter Wriggers",
year = "2016",
month = may,
day = "20",
doi = "10.1007/978-3-319-31925-4_2",
language = "English",
series = "CISM International Centre for Mechanical Sciences, Courses and Lectures",
publisher = "Springer International Publishing AG",
pages = "17--51",
booktitle = "Advanced Finite Element Technologies",
address = "Switzerland",

}

Download

TY - CHAP

T1 - Discretization Methods for Solids Undergoing Finite Deformations

AU - Wriggers, Peter

PY - 2016/5/20

Y1 - 2016/5/20

N2 - Finite element methods for solving engineering problems are used since decades in industrial applications. This market is still growing and the underlying methodologies, formulations, and algorithms seem to be settled. But still there are open questions and problems when applying the finite element method to situations where finite strains occur. Another problem area is the incorporation of constraints into the formulations, such as incompressibility, contact, and directional constraints needed to formulate anisotropic material behavior. In this section, we present the basic continuum formulation and different discretization techniques that can be used to overcome the problems mentioned above. Additionally, a set of test problems is presented that can be applied to test new finite element formulations.

AB - Finite element methods for solving engineering problems are used since decades in industrial applications. This market is still growing and the underlying methodologies, formulations, and algorithms seem to be settled. But still there are open questions and problems when applying the finite element method to situations where finite strains occur. Another problem area is the incorporation of constraints into the formulations, such as incompressibility, contact, and directional constraints needed to formulate anisotropic material behavior. In this section, we present the basic continuum formulation and different discretization techniques that can be used to overcome the problems mentioned above. Additionally, a set of test problems is presented that can be applied to test new finite element formulations.

KW - Deformation Gradient

KW - Finite Element Formulation

KW - Gauss Point

KW - Initial Configuration

KW - Weak Form

UR - http://www.scopus.com/inward/record.url?scp=85043288853&partnerID=8YFLogxK

U2 - 10.1007/978-3-319-31925-4_2

DO - 10.1007/978-3-319-31925-4_2

M3 - Contribution to book/anthology

AN - SCOPUS:85043288853

T3 - CISM International Centre for Mechanical Sciences, Courses and Lectures

SP - 17

EP - 51

BT - Advanced Finite Element Technologies

PB - Springer International Publishing AG

ER -

Von denselben Autoren