Growth and instability in elastic tissues

By M. B. Amar, Alain Goriely. 2005

425 citations recorded by the source corpus.

Subfields: Biomedical Engineering, Cell Biology, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/db5ee07a42770a8a6c17817e6795ed4c203a4c82

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Biomedical Engineering

In Cell Biology

In Mechanics of Materials

Citations in the corpus

Fifty Shades of Brain: A Review on the Mechanical Testing and Modeling of Brain Tissue (2019, background): “We further assume that cortical growth is purely morphogenetic [2]—”
Three-dimensional multispecies nonlinear tumor growth--I Model and numerical method. (2008, methodology): “These include elastic, poroelastic and viscoelastic models, e.g., Jones et al. (2000), Ambrosi and Mollica (2002), Lubarda and Hoger (2002), Araujo and McElwain (2004), Ben-Amar and Gorielly (2005), Fung (1990), Humphrey (2003), Roose et al. (2003), and McArthur and Please (2004).”
Growth instabilities and folding in tubular organs: A variational method in non-linear elasticity☆ (2012, methodology): “transforming the boundary value problem into an initial value problem, making use of compound matrix or impedance matrix methods to avoid numerical stiffness complications [8,45].”
Dynamics of swelling and drying in a spherical gel (2015, positive): “More recently, volumetric growth under ﬁxed, external constraints has attracted attention due to its likely role in developmental morphogenesis [48–51].”
Circumferential buckling instability of a growing cylindrical tube (2011, methodology): “Differential growth has been shown to have a dramatic impact on the mechanical response and stability of spherical shells (Amar and Goriely, 2005) as well as cylindrical tubes ll rights reserved. oulton), goriely@maths.ox.ac.uk (A. Goriely). under axial loading (Vandiver, 2009).”
Morphogenesis of thin hyperelastic plates: A constitutive theory of biological growth in the Föppl-von Kármán limit (2009, background): “…the product of a growth tensor describing the change in mass and an elastic tensor characterizing the reorganization of the body needed to ensure compatibility (no overlap) and integrity (no cavitation) of the body (Ambrosi and Mollica, 2002; Ben Amar and Goriely, 2005; Goriely and Ben Amar, 2005).”