Physics of growing biological tissues: the complex cross-talk between cell activity, growth and resistance

M Ben Amar, P Nassoy… - … Transactions of the …, 2019 - royalsocietypublishing.org
For many organisms, shapes emerge from growth, which generates stresses, which in turn
can feedback on growth. In this review, theoretical methods to analyse various aspects of …

An Eulerian formulation of inelasticity: from metal plasticity to growth of biological tissues

MB Rubin - … Transactions of the Royal Society A, 2019 - royalsocietypublishing.org
The purpose of this paper is to review and contrast the Lagrangian and Eulerian
formulations of inelasticity as they apply to metal plasticity and growth of biological tissues …

[HTML][HTML] Uncertainty quantification for locally resonant coated plates and shells

K Modur, GS Sharma, C Lin, N Wendt… - International Journal of …, 2024 - Elsevier
The effect of uncertainty in design parameters on the acoustic performance of coated plates
and coated shells for maritime applications is presented. The locally resonant coatings are …

Instabilities in liquid crystal elastomers

LA Mihai, A Goriely - MRS Bulletin, 2021 - Springer
Stability is an important and fruitful avenue of research for liquid crystal elastomers. At
constant temperature, upon stretching, the homogeneous state of a nematic body becomes …

Spatially-dependent material uncertainties in anisotropic nonlinear elasticity: Stochastic modeling, identification, and propagation

P Chen, J Guilleminot - Computer Methods in Applied Mechanics and …, 2022 - Elsevier
This paper develops a stochastic model for the spatially-dependent material parameters
parameterizing anisotropic strain energy density functions. The construction is cast within …

[图书][B] Stochastic elasticity: a nondeterministic approach to the nonlinear field theory

LA Mihai - 2022 - books.google.com
Stochastic elasticity is a fast developing field that combines nonlinear elasticity and
stochastic theories in order to significantly improve model predictions by accounting for …

Likely striping in stochastic nematic elastomers

LA Mihai, A Goriely - Mathematics and Mechanics of Solids, 2020 - journals.sagepub.com
For monodomain nematic elastomers, we construct generalised elastic–nematic constitutive
models combining purely elastic and neoclassical-type strain energy densities. Inspired by …

Uncertainty quantification of elastic material responses: testing, stochastic calibration and Bayesian model selection

D Fitt, H Wyatt, TE Woolley, LA Mihai - Mechanics of Soft Materials, 2019 - Springer
Motivated by the need to quantify uncertainties in the mechanical behaviour of solid
materials, we perform simple uniaxial tensile tests on a manufactured rubber-like material …

Likely equilibria of the stochastic Rivlin cube

LA Mihai, TE Woolley, A Goriely - … Transactions of the …, 2019 - royalsocietypublishing.org
The problem of the Rivlin cube is to determine the stability of all homogeneous equilibria of
an isotropic incompressible hyperelastic body under equitriaxial dead loads. Here, we …

Likely cavitation in stochastic elasticity

LA Mihai, D Fitt, TE Woolley, A Goriely - Journal of Elasticity, 2019 - Springer
We revisit the classic problem of elastic cavitation within the framework of stochastic
elasticity. For the deterministic elastic problem, involving homogeneous isotropic …