A coupled meshfree/scaled boundary method

Augarde, C. E.; Deeks, A. J.

Abstract

However, it is limited to linear problems. Many soft-ground geotechnical problems require both non-linear constitutive behaviour for the soil, to capture pre-failure deformations, and the presence of an unbounded domain. Adaptive meshfree methods are ideally suited to such problems. This paper couples a meshless local Petrov-Galerkin method for the near field with a meshless scaled boundary method of similar type for the far field. The method presented is novel as the degrees of freedom of all nodes in the support of the interface nodes are coupled to the stiffness of the unbounded domain, rather than just the nodes on the interface.

Citation

Augarde, C. E., & Deeks, A. J. (2006, December). A coupled meshfree/scaled boundary method. Presented at 1st International Conference on Comptational Methods, Singapore

• Presentation Conference Type: Conference Paper (published)
• Conference Name: 1st International Conference on Comptational Methods
• Publication Date: 2006-12
• Publisher: Springer Verlag
• Pages: 1429-1433
• Book Title: Computational Methods
• DOI: https://doi.org/10.1007/978-1-4020-3953-9_65
• Keywords: scaled boundary method, meshless meshfree penalty
• Public URL: https://durham-repository.worktribe.com/output/1162400