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Model. and Simul. in Eng. Sci."],"abstract":"<jats:title>Abstract<\/jats:title>\n                  <jats:p>We extend (EUCLID Efficient Unsupervised Constitutive Law Identification and Discovery)\u2014a data-driven framework for automated material model discovery\u2014to pressure-sensitive plasticity models, encompassing arbitrarily shaped yield surfaces with convexity constraints and non-associated flow rules. The method only requires full-field displacement and boundary force data from one single experiment and delivers constitutive laws as interpretable mathematical expressions. We construct a material model library for pressure-sensitive plasticity models with non-associated flow rules in four steps: (1) a Fourier series describes an arbitrary yield surface shape in the deviatoric stress plane; (2) a pressure-sensitive term in the yield function defines the shape of the shear failure surface and determines plastic deformation under tension; (3) a compression cap term determines plastic deformation under compression; (4) a non-associated flow rule may be adopted to avoid the excessive dilatancy induced by plastic deformations. In contrast to traditional parameter identification methods, EUCLID is equipped with a sparsity promoting regularization to restrain the number of model parameters (and thus modeling features) to the minimum needed to accurately interpret the data, thus achieving a compromise between model simplicity and accuracy. The convexity of the learned yield surface is guaranteed by a set of constraints in the inverse optimization problem. We demonstrate the proposed approach in multiple numerical experiments with noisy data, and show the ability of EUCLID to accurately select a suitable material model from the starting library.<\/jats:p>","DOI":"10.1186\/s40323-024-00281-3","type":"journal-article","created":{"date-parts":[[2025,1,18]],"date-time":"2025-01-18T07:39:43Z","timestamp":1737185983000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":10,"title":["Discovering non-associated pressure-sensitive plasticity models with EUCLID"],"prefix":"10.1186","volume":"12","author":[{"given":"Haotian","family":"Xu","sequence":"first","affiliation":[]},{"given":"Moritz","family":"Flaschel","sequence":"additional","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0003-2748-3287","authenticated-orcid":false,"given":"Laura","family":"De Lorenzis","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2025,1,18]]},"reference":[{"key":"281_CR1","doi-asserted-by":"publisher","first-page":"427","DOI":"10.1016\/0045-7949(94)00339-5","volume":"54","author":"A Abbo","year":"1995","unstructured":"Abbo A, Sloan S. 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