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In particular, the proposed method is built on a three-field formulation of the governing conservation laws, which uses solid displacement, pore pressure and fluid displacement as primary variables (<jats:italic>u<\/jats:italic>\u2013<jats:italic>p<\/jats:italic>\u2013<jats:italic>U<\/jats:italic>formulation). Stress oscillations associated with grid-crossing and pore pressure instabilities near the undrained\/incompressible limit are mitigated by implementing enhanced shape functions according to the Generalised Interpolation Material Point (GIMP) method, as well as a patch recovery of pore pressures \u2013 from background nodes to material points \u2013 based on the same Moving Least Square Approximation (MLSA) approach investigated by Zheng et al. [1]. The accuracy and computational convenience of the proposed method are discussed with reference to several poroelastic verification examples, spanning different regimes of material deformation (small versus large) and dynamic motion (slow versus fast). The computational performance of the proposed method in combination with the PARDISO solver for the discrete linear system is also compared to explicit MPM modelling [1] in terms of accuracy, convergence rate, and computation time.<\/jats:p>","DOI":"10.1007\/s00366-022-01678-7","type":"journal-article","created":{"date-parts":[[2022,7,9]],"date-time":"2022-07-09T11:02:48Z","timestamp":1657364568000},"page":"5583-5602","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":24,"title":["Fully implicit, stabilised, three-field material point method for dynamic coupled problems"],"prefix":"10.1007","volume":"38","author":[{"given":"Xiangcou","family":"Zheng","sequence":"first","affiliation":[]},{"given":"Federico","family":"Pisan\u00f2","sequence":"additional","affiliation":[]},{"given":"Philip J.","family":"Vardon","sequence":"additional","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0002-7603-7040","authenticated-orcid":false,"given":"Michael A.","family":"Hicks","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2022,7,9]]},"reference":[{"key":"1678_CR1","doi-asserted-by":"crossref","first-page":"104112","DOI":"10.1016\/j.compgeo.2021.104112","volume":"135","author":"XC Zheng","year":"2021","unstructured":"Zheng XC, Pisan\u00f2 F, Vardon PJ, Hicks MA (2021) An explicit stabilised material point method for coupled hydromechanical problems in two-phase porous media. 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