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| http://dx.doi.org/10.1073/pnas.54.5.1293 | DOI Listing |
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Discovering non-associated pressure-sensitive plasticity models with EUCLID.
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Department of Mechanical and Process Engineering, Institute for Mechanical Systems, ETH Zürich, Zürich, 8092 Switzerland.
We extend (EUCLID Efficient Unsupervised Constitutive Law Identification and Discovery)-a data-driven framework for automated material model discovery-to 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.
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Software Engineering College, Zhengzhou University of Light Industry, Zhengzhou, China.
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School of Humanities and Social Sciences, Xi'an Jiaotong University, Xi'an, China.
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Global Health Research Center, Duke Kunshan University, Kunshan, Jiangsu, China.
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