English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

The unstable nature of the material point method is widely documented and isa barrier to the method being used for routine engineering analyses of largedeformation problems. The vast majority of papers concerning this issue arefocused on the instabilities that manifest when a material point crossesbetween background grid cells. However, there are other issues related to thestability of material point methods. This paper focuses on the issue of theconditioning of the global system of equations caused by the arbitrary natureof the position of the physical domain relative to the background computationalgrid. The issue is remedied here via the use of a Ghost stabilisation techniquethat penalises variations in the gradient of the solution field near theboundaries of the physical domain. This technique transforms the stability ofthe material point method, providing a robust computational framework for largedeformation dynamic and quasi-static analysis.

Ghost stabilisation of the Material Point Method for stable quasi-static and dynamic analysis of large deformation problems