On sparse regression, Lp‐regularization, and automated model discovery
JA McCulloch, SR St. Pierre, K Linka… - International Journal for …, 2024 - Wiley Online Library
Sparse regression and feature extraction are the cornerstones of knowledge discovery from
massive data. Their goal is to discover interpretable and predictive models that provide …
massive data. Their goal is to discover interpretable and predictive models that provide …
[HTML][HTML] Theory and implementation of inelastic constitutive artificial neural networks
The two fundamental concepts of materials theory, pseudo potentials and the assumption of
a multiplicative decomposition, allow a general description of inelastic material behavior …
a multiplicative decomposition, allow a general description of inelastic material behavior …
[HTML][HTML] I too I2: A new class of hyperelastic isotropic incompressible models based solely on the second invariant
In contemporary elasticity theory, the strain–energy function predominantly relies on the first
invariant I 1 of the deformation tensor; a practice that has been influenced by models derived …
invariant I 1 of the deformation tensor; a practice that has been influenced by models derived …
[HTML][HTML] Neural integration for constitutive equations using small data
Data-driven models based on deep learning algorithms intend to overcome the limitations of
traditional constitutive modelling by directly learning from data. However, the need for …
traditional constitutive modelling by directly learning from data. However, the need for …
[HTML][HTML] Automated model discovery for human cardiac tissue: Discovering the best model and parameters
For more than half a century, scientists have developed mathematical models to understand
the behavior of the human heart. Today, we have dozens of heart tissue models to choose …
the behavior of the human heart. Today, we have dozens of heart tissue models to choose …
Nonlinear consolidation finite element analysis of a layered soft soil foundation under multistage loading based on the continuous drainage boundary
K Ma, Z Gao, J Wang, Y Zhang, M Zong, W Wu… - Computers and …, 2024 - Elsevier
To comprehensively consider the impacts of stratification, residual pore water pressure, soil
nonlinearity, and boundary permeability on consolidation settlement of soft soil foundations …
nonlinearity, and boundary permeability on consolidation settlement of soft soil foundations …
[HTML][HTML] Best-in-class modeling: A novel strategy to discover constitutive models for soft matter systems
The ability to automatically discover interpretable mathematical models from data could
forever change how we model soft matter systems. For convex discovery problems with a …
forever change how we model soft matter systems. For convex discovery problems with a …
[HTML][HTML] Filled Elastomers: Mechanistic and Physics-Driven Modeling and Applications as Smart Materials
Elastomers are made of chain-like molecules to form networks that can sustain large
deformation. Rubbers are thermosetting elastomers that are obtained from irreversible …
deformation. Rubbers are thermosetting elastomers that are obtained from irreversible …
Internal resonance induced nonlinear vibration and acoustic radiation of a hyperelastic cantilever structure immersed in fluid
Hyperelastic structures can exhibit peculiar nonlinear vibration and acoustic behavior due to
the existence of geometric and material nonlinearities. In order to comprehend the nonlinear …
the existence of geometric and material nonlinearities. In order to comprehend the nonlinear …
Democratizing biomedical simulation through automated model discovery and a universal material subroutine
Personalized computational simulations have emerged as a vital tool to understand the
biomechanical factors of a disease, predict disease progression, and design personalized …
biomechanical factors of a disease, predict disease progression, and design personalized …