Work

Enriched convected particle domain interpolation (CPDI) method for analyzing weak discontinuities

Year: 2011

Type: conference-paper

Abstract: Convected particle domain interpolation (CPDI) is a recently developed technique for more accurately approximating material point method (MPM) integrals by replacing the shape functions with interpolations of the shape functions to corners of particle domains that are tracked as parallelograms in 2-D (or parallelepipeds in 3-D). In this paper, the CPDI method is enhanced to (1) more accurately track particle domains with very little computational overhead in comparison to the original CPDI, (2) remove gaps/overlapping between particle domains, and (3) give more ﬂexibility in choosing particle domain shape in the initial conﬁguration. This enhanced CPDI method is then enriched to accurately solve weak discontinuities in the displacement ﬁeld across a material interface that passes through the interior of a grid cell. The new enriched CPDI2 method is demonstrated using one- and two-dimensional examples.

Source: UPCommons institutional repository (Universitat Politècnica de Catalunya)

Authors: Alireza Sadeghirad, Rebecca M. Brannon, James E. Guilkey

Institution: University of Utah

Language: English

Topic: Numerical methods in engineering

Subfield: Mechanics of Materials

Field: Engineering

Domain: Physical Sciences

Open Access status: green

Funder: Strong

OpenAlex ID: W2739068605

FWCI: 1.449

Cites:

Cited by: 3

Related to: 10