Plasticity: Modeling & Computation

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Geometric deep learning for computational mechanics Part I: Anisotropic Hyperelasticity (2020, background): “Frame invariance requires that (Borja, 2013; Kirchdoerfer and Ortiz, 2016) , The above is automatically satisﬁed when the response is modeled as an equivalent function of the right Cauchy-Green deformation tensor C , since: By training all the models in this work as a function of the right…”
A mixed-mode phase field fracture model in anisotropic rocks with consistent kinematics (2018, methodology): “This can be easily proven by rewriting both HI and HI I in terms of principal values of the infinitesimal strain tensor [28,29].”
Meta-modeling game for deriving theoretical-consistent, micro-structural-based traction-separation laws via deep reinforcement learning (2018, background): “For instance, geomaterials, such as fault gauges, are known to exhibit rate-and state-dependent frictional responses [Paterson and Wong, 2005, Sun, 2013, Borja, 2013, Wang et al., 2016, Na and Sun, 2017].”