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On the development of a material point method compatible arc length solver for large deformation solid mechanics

Gavin, N.D.; Coombs, W.M.; Brigham, J.C.; Augarde, C.E.

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Nathan Gavin nathan.d.gavin@durham.ac.uk
PGR Student Doctor of Philosophy

J.C. Brigham



Abstract

The Material Point Method is a versatile technique, however, it may be unable to provide a valid solution if there is a snap-through or snap-back response in the equilibrium path. One approach of overcoming this issue is the use of path following techniques and one example is the arc-length method. This technique is well established in finite element analysis but not in any Material Point Method formulation. This paper details the modifications made to the standard arc-length scheme for use within the Material Point Method. A numerical example is presented to demonstrate the implementation of the Material Point-Based Arc-length scheme in tracking a snap-through response.

Citation

Gavin, N., Coombs, W., Brigham, J., & Augarde, C. (2023). On the development of a material point method compatible arc length solver for large deformation solid mechanics.

Presentation Conference Type Conference Paper (Published)
Conference Name UKACM 2023
Start Date Apr 19, 2023
End Date Apr 21, 2023
Publication Date 2023
Deposit Date Jul 5, 2023
Publicly Available Date Jul 5, 2023
Public URL https://durham-repository.worktribe.com/output/1133638
Publisher URL https://sites.google.com/view/ukacm2023conference

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