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 …

[图书][B] The mathematics and mechanics of biological growth

A Goriely - 2017 - books.google.com
This monograph presents a general mathematical theory for biological growth. It provides
both a conceptual and a technical foundation for the understanding and analysis of …

Mechanical characterization of human brain tissue

S Budday, G Sommer, C Birkl, C Langkammer… - Acta biomaterialia, 2017 - Elsevier
Mechanics are increasingly recognized to play an important role in modulating brain form
and function. Computational simulations are a powerful tool to predict the mechanical …

Control of cell morphology and differentiation by substrates with independently tunable elasticity and viscous dissipation

EE Charrier, K Pogoda, RG Wells… - Nature communications, 2018 - nature.com
The mechanical properties of extracellular matrices can control the function of cells. Studies
of cellular responses to biomimetic soft materials have been largely restricted to hydrogels …

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 …

Brain stiffness increases with myelin content

J Weickenmeier, R de Rooij, S Budday, P Steinmann… - Acta biomaterialia, 2016 - Elsevier
Brain stiffness plays an important role in neuronal development and disease, but reported
stiffness values vary significantly for different species, for different brains, and even for …

Solid stress in brain tumours causes neuronal loss and neurological dysfunction and can be reversed by lithium

G Seano, HT Nia, KE Emblem, M Datta, J Ren… - Nature biomedical …, 2019 - nature.com
The compression of brain tissue by a tumour mass is believed to be a major cause of the
clinical symptoms seen in patients with brain cancer. However, the biological consequences …

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 …