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Journal ArticleDOI

Stress-dependent finite growth in soft elastic tissues

TLDR
A general continuum formulation for finite volumetric growth in soft elastic tissues is proposed and it is shown that transmurally uniform pure circumferential growth, which may be similar to eccentric ventricular hypertrophy, changes the state of residual stress in the heart wall.
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This article is published in Journal of Biomechanics.The article was published on 1994-04-01. It has received 1288 citations till now. The article focuses on the topics: Cauchy elastic material & Hyperelastic material.

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A new constitutive framework for arterial wall mechanics and a comparative study of material models

TL;DR: In this paper, the authors developed a constitutive law for the description of the (passive) mechanical response of arterial tissue, where the artery is modeled as a thick-walled nonlinearly elastic circular cylindrical tube consisting of two layers corresponding to the media and adventitia.
Journal ArticleDOI

Vascular Extracellular Matrix and Arterial Mechanics

TL;DR: By correlating vessel mechanics with physiological blood pressure across animal species and in mice with altered vessel compliance, it is shown that cardiac and vascular development are physiologically coupled, and there is evidence for a universal elastic modulus that controls the parameters of ECM deposition in vessel wall development.
Journal ArticleDOI

A history of the study of solid tumour growth: the contribution of mathematical modelling.

TL;DR: This short treatise presents a concise history of the study of solid tumour growth, illustrating the development of mathematical approaches from the early decades of the twentieth century to the present time, showing the crucial relationship between experimental and theoretical approaches.
Journal ArticleDOI

A constrained mixture model for growth and remodeling of soft tissues

TL;DR: It was thought that the most important characteristics of soft tissues were their complex mechanical properties: they often exhibit nonlinear, anisotropic, nearly incoherent, and often incoherent properties as discussed by the authors.
Journal ArticleDOI

Mechanics of morphological instabilities and surface wrinkling in soft materials: a review

TL;DR: Some representative theoretical and numerical approaches aimed at modelling the onset of instabilities as well as the postbuckling evolution involving multiple bifurcations and symmetry breakings are discussed along with the main characteristics and some possible applications of this rich phenomenon.
References
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Journal ArticleDOI

The compressive behavior of bone as a two-phase porous structure.

TL;DR: These power relationships, which were shown to hold for all bone in the skeleton, allow meaningful predictions of bone tissue strength and stiffness based on in vivo density measurements.
Book

An introduction to continuum mechanics

TL;DR: In this paper, the NavierStokes Equations are used to define linear elasticity for tensor analysis, and the invariance of material response is established. But the analysis is restricted to finite elasticity and cannot be extended to infinite elasticity.
Book

Biomechanics: Motion, Flow, Stress, and Growth

TL;DR: In this paper, the authors describe internal deformation and forces, stress, strain, and stability of organs, strength, Trauma, and Tolerance of growth and tissue engineering, as well as Biomechanical Aspects of Growth and Tissue Engineering.
Journal ArticleDOI

Molecular characterization of the stretch-induced adaptation of cultured cardiac cells. An in vitro model of load-induced cardiac hypertrophy.

TL;DR: The results demonstrate that the phenotype of stretched cardiocytes in this in vitro model closely mimics that of hemodynamic load-induced hypertrophy in vivo, and seems to be a suitable system with which to dissect the molecular mechanisms of load- inducedhypertrophy of cardiac muscle.
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