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Growth of shell-like soft biological tissues under mechanical loading

Farzam Dadgar-Rad Orcid Logo, Amirhossein N. Dorostkar Orcid Logo, Mokarram Hossain Orcid Logo

International Journal of Non-Linear Mechanics, Volume: 156, Start page: 104505

Swansea University Author: Mokarram Hossain Orcid Logo

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DOI (Published version): 10.1016/j.ijnonlinmec.2023.104505

Abstract

Application of mechanical loading to soft biological tissues plays a central role in tissue engineering. Mechanical stimuli convert into intracellular biochemical activity, referred to as mechanotransduction, and lead to the growth of tissues. In most practical applications, the mechanotransduction...

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Published in: International Journal of Non-Linear Mechanics
ISSN: 0020-7462
Published: Elsevier BV 2023
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URI: https://cronfa.swan.ac.uk/Record/cronfa63948
Abstract: Application of mechanical loading to soft biological tissues plays a central role in tissue engineering. Mechanical stimuli convert into intracellular biochemical activity, referred to as mechanotransduction, and lead to the growth of tissues. In most practical applications, the mechanotransduction phenomenon has been examined on thin tissues in two- or three-dimensional space. Accordingly, a phenomenological finite growth formulation for shell-like soft tissues under mechanical loading is presented in this work. The basic kinematic and kinetic quantities besides the constitutive response are formulated. The unconditionally stable implicit Euler-backward scheme is employed to solve the evolution equation of the growth parameter. Moreover, a nonlinear finite element formulation is developed, which can provide numerical solutions under arbitrary geometry, loading, and boundary conditions. Several examples are presented that demonstrate the applicability and performance of the formulation. The results indicate that finite growth as well as finite deformation of thin tissues under mechanical input can be successfully predicted by the present formulation.
Keywords: Growth mechanics, Soft tissue, Shell, Large deformation, Finite Element Method
College: Faculty of Science and Engineering
Funders: Swansea University
Start Page: 104505

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