Print Email Facebook Twitter Compound material point method (CMPM) to improve stress recovery for quasi-static problems Title Compound material point method (CMPM) to improve stress recovery for quasi-static problems Author Gonzalez Acosta, J.L. (TU Delft Geo-engineering) Vardon, P.J. (TU Delft Geo-engineering) Hicks, M.A. (TU Delft Geo-engineering) Date 2017 Abstract Stress oscillations and inaccuracies are commonly reported in the material point method (MPM). This paper investigates the causes and presents a method to reduce them. The oscillations are shown to result from, at least in part, two distinctly different causes, both originating from the shape function approximations used. The first is due to the components of the stiffness matrix (or other matrices) being derived by performing numerical integration using the material points, and the second is due to calculating the strain from the nodal displacements of the elements, interpolated to the material points, via the shape function spatial derivatives. In this paper, an improvement for the recovery of results from the nodes to the material points is presented, where an increase of the Cn continuity along with an interpolation involving nodes from neighbouring elements is applied. Subject material point methodparticle-in-cellshape functionsstress oscillationstress recovery To reference this document use: http://resolver.tudelft.nl/uuid:18069ff5-ca68-480e-96e2-1685824508ce DOI https://doi.org/10.1016/j.proeng.2017.01.037 ISSN 1877-7058 Source Procedia Engineering, 175, 324-331 Event 1st International Conference on the Material Point Method, 2017-01-10 → 2017-01-13, Deltares, Delft, Netherlands Part of collection Institutional Repository Document type journal article Rights © 2017 J.L. Gonzalez Acosta, P.J. Vardon, M.A. Hicks Files PDF 1_s2.0_S1877705817300371_main.pdf 1.58 MB Close viewer /islandora/object/uuid:18069ff5-ca68-480e-96e2-1685824508ce/datastream/OBJ/view