An investigation of stress inaccuracies and proposed solution in the material point method

Gonzalez Acosta, J.L.; Vardon, P.J.; Remmerswaal, G.; Hicks, M.A.

doi:10.1007/s00466-019-01783-3

An investigation of stress inaccuracies and proposed solution in the material point method

Title

An investigation of stress inaccuracies and proposed solution in the material point method

Author

Gonzalez Acosta, J.L. (TU Delft Geo-engineering)
Vardon, P.J. (TU Delft Geo-engineering)
Remmerswaal, G. (TU Delft Geo-engineering)
Hicks, M.A. (TU Delft Geo-engineering)

Date

2019

Abstract

Stress inaccuracies (oscillations) are one of the main problems in the material point method (MPM), especially when advanced constitutive models are used. The origins of such oscillations are a combination of poor force and stiffness integration, stress recovery inaccuracies, and cell crossing problems. These are caused mainly by the use of shape function gradients and the use of material points for integration in MPM.The most common techniques developed to reduce stress oscillations consider adapting the shape function gradients so that they are continuous at the nodes. These techniques improve MPM, but problems remain, particularly in two and three dimensional cases. In this paper, the stress inaccuracies are investigated in detail, with particular reference to an implicit time integration scheme. Three modifications to MPM are implemented, and together these are able to remove almost all of the observed oscillations.

Subject

Double mapping
Material point method
Shape functions
Stress oscillation

To reference this document use:

http://resolver.tudelft.nl/uuid:f4e53ee7-f8df-4a3a-9024-4129aa6d1dd0

DOI

https://doi.org/10.1007/s00466-019-01783-3

ISSN

0178-7675

Source

Computational Mechanics, 65 (2020) (2), 555-581

Part of collection

Institutional Repository