Inference of deformation mechanisms and constitutive response of soft material surrogates of biological tissue by full-field characterization and data-driven variational system identification

Variational system identification of the partial differential equations governing microstructure evolution in materials: Inference over sparse and spatially unrelated data

(2021) Z. Wang et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

SciPy 1.0: fundamental algorithms for scientific computing in Python

(2020) Pauli Virtanen et al.   NATURE METHODS

MR-u: Material Characterization Using 3D Displacement-Encoded Magnetic Resonance and the Virtual Fields Method

(2020) J.B. Estrada et al.   EXPERIMENTAL MECHANICS

Correction to: System inference for the spatio-temporal evolution of infectious diseases: Michigan in the time of COVID-19

(2020) Z. Wang et al.   COMPUTATIONAL MECHANICS

Discovery of Nonlinear Multiscale Systems: Sampling Strategies and Embeddings

(2019) Kathleen P. Champion et al.   SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS

Variational system identification of the partial differential equations governing the physics of pattern-formation: Inference under varying fidelity and noise

(2019) Z. Wang et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

Robust high resolution strain imaging by alternating pulsed field gradient stimulated echo imaging (APGSTEi) at 7 Tesla

(2019) Ulrich M. Scheven et al.   JOURNAL OF MAGNETIC RESONANCE

Hidden physics models: Machine learning of nonlinear partial differential equations

(2018) Maziar Raissi et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Physics-informed neural networks: A deep learning framework for solving forward and inverse problems involving nonlinear partial differential equations

(2018) M. Raissi et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Data-driven discovery of partial differential equations

(2017) Samuel H. Rudy et al.   Science Advances

Verification of a virtual fields method to extract the mechanical properties of human optic nerve head tissues in vivo

(2016) Liang Zhang et al.   Biomechanics and Modeling in Mechanobiology

Novel Methodology for Characterizing Regional Variations in the Material Properties of Murine Aortas

(2016) Matthew R. Bersi et al.   JOURNAL OF BIOMECHANICAL ENGINEERING-TRANSACTIONS OF THE ASME

Mean deformation metrics for quantifying 3D cell–matrix interactions without requiring information about matrix material properties

(2016) David A. Stout et al.   PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA

Discovering governing equations from data by sparse identification of nonlinear dynamical systems

(2016) Steven L. Brunton et al.   PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA

A Fast Iterative Digital Volume Correlation Algorithm for Large Deformations

(2014) E. Bar-Kochba et al.   EXPERIMENTAL MECHANICS

In vitro analysis of localized aneurysm rupture

(2013) Aaron Romo et al.   JOURNAL OF BIOMECHANICS

Anisotropic and hyperelastic identification of in vitro human arteries from full-field optical measurements

(2010) Stéphane Avril et al.   JOURNAL OF BIOMECHANICS

3D Heterogeneous Stiffness Reconstruction Using MRI and the Virtual Fields Method

(2008) S. Avril et al.   EXPERIMENTAL MECHANICS

Application of the virtual fields method to mechanical characterization of elastomeric materials

(2008) N. Promma et al.   INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES