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- Alain Goriely, Martine Ben Amar
- Physical review letters
- 2005

Differential growth in elastic materials can produce stress either through incompatibility of growth or by interaction with the surrounding medium. In many situations, this stress can be sufficient to induce shape instability in the growing medium. To gain better insight in growth-induced instabilities, the growth of an elastic shell loaded with hydrostatic… (More)

- J-M Allain, Cornelis Storm, Alain Roux, Martine Ben Amar, J-F Joanny
- Physical review letters
- 2004

A common mechanism for intracellular transport is the use of controlled deformations of the membrane to create spherical or tubular buds. While the basic physical properties of homogeneous membranes are relatively well known, the effects of inhomogeneities within membranes are very much an active field of study. Membrane domains enriched in certain lipids,… (More)

- M. Adda-Bedia, Ruth Arias, Martine Ben Amar, Fernando Lund
- Physical review. E, Statistical physics, plasmas…
- 1999

We use Eshelby's energy momentum tensor of dynamic elasticity to compute the forces acting on a moving crack front in a three-dimensional elastic solid [Philos. Mag. 42, 1401 (1951)]. The crack front is allowed to be any curve in three dimensions, but its curvature is assumed small enough so that near the front the dynamics is locally governed by… (More)

- Pasquale Ciarletta, Martine Ben Amar
- Journal of the Royal Society, Interface
- 2009

The structural integrity and the biomechanical characteristics of ligaments and tendons result from the interactions between collagenous and non-collagenous proteins (e.g. proteoglycans, PGs) in the extracellular matrix. In this paper, a dissipative theory of temporary interfibrillar bridges in the anisotropic network of collagen type I, embedded in a… (More)

- Pasquale Ciarletta, Martine Ben Amar, Michel Labouesse
- Philosophical transactions. Series A…
- 2009

The purpose of this work is to provide a biomechanical model to investigate the interplay between cellular structures and the mechanical force distribution during the elongation process of Caenorhabditis elegans embryos. Epithelial morphogenesis drives the elongation process of an ovoid embryo to become a worm-shaped embryo about four times longer and three… (More)

- Alain Goriely, Martine Ben Amar
- Biomechanics and modeling in mechanobiology
- 2007

In the theory of elastic growth, a growth process is modeled by a sequence of growth itself followed by an elastic relaxation ensuring integrity and compatibility of the body. The description of this process is local in time and only corresponds to an incremental step in the total growth process. As time evolves, these incremental growth steps are… (More)

- Julien Dervaux, Martine Ben Amar
- Physical review letters
- 2008

Recently, much attention has been given to a noteworthy property of some soft tissues: their ability to grow. Many attempts have been made to model this behavior in biology, chemistry, and physics. Using the theory of finite elasticity, Rodriguez has postulated a multiplicative decomposition of the geometric deformation gradient into a growth-induced part… (More)

- J-M Allain, Martine Ben Amar
- The European physical journal. E, Soft matter
- 2006

We present a model of bi-phasic vesicles in the limit of large surface tension. In this regime, the vesicle is completely stretched and well described by two spherical caps with a fold, which concentrates the membrane stress. The conservation laws and geometric constraints restrict the space of possible shapes to a pair of solutions labeled by a parameter… (More)

- Pasquale Ciarletta, Lionel Forêt, Martine Ben Amar
- Journal of the Royal Society, Interface
- 2011

Cutaneous melanoma is disproportionately lethal despite its relatively low incidence and its potential for cure in the early stages. The aim of this study is to foster understanding of the role of microstructure on the occurrence of morphological changes in diseased skin during melanoma evolution. The authors propose a biomechanical analysis of its radial… (More)

- Martine Ben Amar, F. Jia
- Proceedings of the National Academy of Sciences…
- 2013

Embryogenesis offers a real laboratory for pattern formation, buckling, and postbuckling induced by growth of soft tissues. Each part of our body is structured in multiple adjacent layers: the skin, the brain, and the interior of organs. Each layer has a complex biological composition presenting different elasticity. Generated during fetal life, these… (More)