How to characterize a nonlinear elastic material? A review on nonlinear constitutive parameters in isotropic finite elasticity

LA Mihai, A Goriely - Proceedings of the Royal Society A …, 2017 - royalsocietypublishing.org
The mechanical response of a homogeneous isotropic linearly elastic material can be fully
characterized by two physical constants, the Young's modulus and the Poisson's ratio, which …

An introduction to the Ogden model in biomechanics: benefits, implementation tools and limitations

MJ Lohr, GP Sugerman… - … of the Royal …, 2022 - royalsocietypublishing.org
Constitutive models are important to biomechanics for two key reasons. First, constitutive
modelling is an essential component of characterizing tissues' mechanical properties for …

Automated model discovery for human brain using constitutive artificial neural networks

K Linka, SRS Pierre, E Kuhl - Acta Biomaterialia, 2023 - Elsevier
The brain is our softest and most vulnerable organ, and understanding its physics is a
challenging but significant task. Throughout the past decade, numerous competing models …

On automated model discovery and a universal material subroutine for hyperelastic materials

M Peirlinck, K Linka, JA Hurtado, E Kuhl - Computer Methods in Applied …, 2024 - Elsevier
Constitutive modeling is the cornerstone of computational and structural mechanics. In a
finite element analysis, the constitutive model is encoded in the material subroutine, a …

Emergence of tissue-like mechanics from fibrous networks confined by close-packed cells

ASG Van Oosten, X Chen, LK Chin, K Cruz… - Nature, 2019 - nature.com
The viscoelasticity of the crosslinked semiflexible polymer networks—such as the internal
cytoskeleton and the extracellular matrix—that provide shape and mechanical resistance …

Rheological characterization of human brain tissue

S Budday, G Sommer, J Haybaeck, P Steinmann… - Acta biomaterialia, 2017 - Elsevier
The rheology of ultrasoft materials like the human brain is highly sensitive to regional and
temporal variations and to the type of loading. While recent experiments have shaped our …

A new micro–macro transition for hyperelastic materials

L Zhan, S Wang, S Qu, P Steinmann, R Xiao - Journal of the Mechanics and …, 2023 - Elsevier
Many classic hyperelastic models fail to predict the stress responses of soft materials in
complex loading conditions with parameters calibrated through one simple test. To address …

Viscoelastic parameter identification of human brain tissue

S Budday, G Sommer, GA Holzapfel… - Journal of the …, 2017 - Elsevier
Understanding the constitutive behavior of the human brain is critical to interpret the physical
environment during neurodevelopment, neurosurgery, and neurodegeneration. A wide …

Arterial pulsations drive oscillatory flow of CSF but not directional pumping

RT Kedarasetti, PJ Drew, F Costanzo - Scientific reports, 2020 - nature.com
The brain lacks a traditional lymphatic system for metabolite clearance. The existence of a
“glymphatic system” where metabolites are removed from the brain's extracellular space by …

Principal-stretch-based constitutive neural networks autonomously discover a subclass of Ogden models for human brain tissue

SRS Pierre, K Linka, E Kuhl - Brain Multiphysics, 2023 - Elsevier
The soft tissue of the brain deforms in response to external stimuli, which can lead to
traumatic brain injury. Constitutive models relate the stress in the brain to its deformation and …