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This allows the use of intricate hyperelastic laws combined with recent yield functions, which otherwise would involve a laborious treatment, and the use of corresponding work-hardening. Work-hardening would introduce significant nonlinearities in the constitutive system if used in a fully-coupled form. For the partitioned approach, a dynamic relaxation algorithm is adopted. This allows the efficient solution of the two nonlinear equations without significant drifting. Results show that robustness and efficiency are significantly improved. Herein, algorithms are described in detail. Significant testing is performed with imposed strains up to 100 for a carbon steel. This contributes to the robustness of equilibrium iterations. Drifting is also assessed as a function of number of steps in the dynamic relaxation algorithm. Numerical experimentation is performed in the 3D tension test for an anisotropic yield function.<\/jats:p>","DOI":"10.1177\/14644207241289599","type":"journal-article","created":{"date-parts":[[2024,10,16]],"date-time":"2024-10-16T20:19:10Z","timestamp":1729109950000},"page":"1306-1322","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":0,"title":["A trust region algorithm for finite-strain plasticity with strongly coupled hardening"],"prefix":"10.1177","volume":"239","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-6865-1326","authenticated-orcid":false,"given":"P.","family":"Areias","sequence":"first","affiliation":[{"name":"Departament of Mechanical Engineering (DEM), IST - Instituto Superior T\u00e9cnico, Universidade de Lisboa, Lisboa, Portugal"},{"name":"IDMEC - Instituto Superior T\u00e9cnico, Lisboa, Portugal"}]},{"given":"N.","family":"Silvestre","sequence":"additional","affiliation":[{"name":"Departament of Mechanical Engineering (DEM), IST - Instituto Superior T\u00e9cnico, Universidade de Lisboa, Lisboa, Portugal"},{"name":"IDMEC - Instituto Superior T\u00e9cnico, Lisboa, Portugal"}]},{"given":"X.","family":"Zhuang","sequence":"additional","affiliation":[{"name":"HOT \u2013 Hannover Centre for Optical Technologie, Leibniz Universit\u00e4t Hannover, Hannover, Germany"}]}],"member":"179","published-online":{"date-parts":[[2024,10,16]]},"reference":[{"key":"e_1_3_4_2_2","doi-asserted-by":"publisher","DOI":"10.1007\/s00466-021-02038-w"},{"key":"e_1_3_4_3_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.cma.2022.115528"},{"key":"e_1_3_4_4_2","doi-asserted-by":"publisher","DOI":"10.1007\/s00466-011-0659-5"},{"key":"e_1_3_4_5_2","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9780511755446"},{"key":"e_1_3_4_6_2","first-page":"87","volume-title":"Numerical methods for nonlinear algebraic equations","author":"Powell MJD","year":"1970","unstructured":"Powell MJD. 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