Solution of quasi-static large-strain problems by the material point method

SUMMARY A procedure for solving quasi‐static large‐strain problems by the material point method is presented. Owing to the Lagrangian–Eulerian features of the method, problems associated with excessive mesh distortions that develop in the Lagrangian formulations of the finite element method are avoi...

Ausführliche Beschreibung

Gespeichert in:

Bibliographische Detailangaben
Veröffentlicht in:	International journal for numerical and analytical methods in geomechanics 2011-09, Vol.35 (13), p.1451-1465
Hauptverfasser:	Beuth, L., Więckowski, Z., Vermeer, P. A.
Format:	Artikel
Sprache:	eng
Schlagworte:	Algorithms Applied sciences arbitrary Lagrangian-Eulerian formulation Buildings. Public works Computation methods. Tables. Charts Distortion Earthwork. Foundations. Retaining walls Exact sciences and technology Finite element method Geotechnics implicit integration Interpolation large strains material point method Mathematical analysis Mathematical models meshless methods Strain Structural analysis. Stresses Three dimensional
Online-Zugang:	Volltext
Tags:	Tag hinzufügen Keine Tags, Fügen Sie den ersten Tag hinzu!

Beschreibung
Zusammenfassung:	SUMMARY A procedure for solving quasi‐static large‐strain problems by the material point method is presented. Owing to the Lagrangian–Eulerian features of the method, problems associated with excessive mesh distortions that develop in the Lagrangian formulations of the finite element method are avoided. Three‐dimensional problems are solved utilizing 15‐noded prismatic and 10‐noded tetrahedral elements with quadratic interpolation functions as well as an implicit integration scheme. An algorithm for exploiting the numerical integration procedure on the computational mesh is proposed. Several numerical examples are shown. Copyright © 2010 John Wiley & Sons, Ltd.
ISSN:	0363-9061 1096-9853 1096-9853
DOI:	10.1002/nag.965