Analysis of the Nonlinear Elastic Response of Rubber Membrane with Embedded Circular Rigid Inclusion

Sang, Jianbing; Sufang, Xing; Wang, Ling; Wang, Jing‐Yuan; Zhou, Jing

doi:10.1515/jtam-2015-0015

“…Others consider finite deformations of incompressible rubber membranes with a central solid inclusion and under uniform pressure (Jianbing et al. 2015 ). Finally, models of agonist driven feedback that are focused on growth and remodelling are presented by Chernyavsky et al.…”

Section: Introductionmentioning

confidence: 99%

Reduced biomechanical models for precision-cut lung-slice stretching experiments

Hj

¹

,

Tatler

²

,

Edgar

³

et al. 2021

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Precision-cut lung-slices (PCLS), in which viable airways embedded within lung parenchyma are stretched or induced to contract, are a widely used ex vivo assay to investigate bronchoconstriction and, more recently, mechanical activation of pro-remodelling cytokines in asthmatic airways. We develop a nonlinear fibre-reinforced biomechanical model accounting for smooth muscle contraction and extracellular matrix strain-stiffening. Through numerical simulation, we describe the stresses and contractile responses of an airway within a PCLS of finite thickness, exposing the importance of smooth muscle contraction on the local stress state within the airway. We then consider two simplifying limits of the model (a membrane representation and an asymptotic reduction in the thin-PCLS-limit), that permit analytical progress. Comparison against numerical solution of the full problem shows that the asymptotic reduction successfully captures the key elements of the full model behaviour. The more tractable reduced model that we develop is suitable to be employed in investigations to elucidate the time-dependent feedback mechanisms linking airway mechanics and cytokine activation in asthma.

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“…Approximate solutions for axisymmetric stretching of thin elastic membranes with traction-free surfaces have previously been determined for isotropic materials (Wong and Shield, 1969;Yang, 1967) but do not account for anisotropy or active contraction. Others consider finite deformations of incompressible rubber membranes with a central solid inclusion and under uniform pressure (Jianbing et al, 2015). Finally, models of agonist driven feedback that are focused on growth and remodelling are presented by Chernyavsky et al (2014), Aparício et al (2016), and Hill et al (2018).…”

Section: Introductionmentioning

confidence: 99%

Reduced biomechanical models for precision-cut lung-slice stretching experiments

Hj

¹

,

Edgar

²

,

O’Dea

³

et al. 2020

Preprint

0

View full text Add to dashboard Cite

Precision-cut lung-slices (PCLS), in which viable airways embedded within lung parenchyma are stretched or induced to contract, are a widely used ex vivo assay to investigate bronchoconstriction and, more recently, mechanical activation of pro-remodelling cytokines in asthmatic airways. We develop a nonlinear fibre-reinforced biomechanical model accounting for smooth muscle contraction and extracellular matrix strain-stiffening. Through numerical simulation, we describe the stresses and contractile responses of an airway within a PCLS of finite thickness, exposing the importance of smooth muscle contraction on the local stress state within the airway. We then consider two simplifying limits of the model (a membrane representation and an asymptotic reduction in the thin-PCLS-limit), that permit analytical progress. Comparison against numerical solution of the full problem shows that the asymptotic reduction successfully captures the key elements of the full model behaviour. The more tractable reduced model that we develop is suitable to be employed in investigations to elucidate the time-dependent feedback mechanisms linking airway mechanics and cytokine activation in asthma.

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Construction of multi-component finite element model to predict biomechanical behaviour of breasts during running and quantification of the stiffness impact of internal structure

Chen,

Sun,

Liu

et al. 2024

Biomech Model Mechanobiol

0

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This study aims to investigate the biomechanical behaviour and the stiffness impact of the breast internal components during running. To achieve this, a novel nonlinear multi-component dynamic finite element method (FEM) has been established, which uses experimental data obtained via 4D scanning technology and a motion capture system. The data are used to construct a geometric model that comprises the rigid body, layers of soft tissues, skin, pectoralis major muscle, fat, ligaments and glandular tissues. The traditional point-to-point method has a relative mean absolute error of less than 7.92% while the latest surface-to-surface method has an average Euclidean distance (d) of 7.05 mm, validating the simulated results. After simulating the motion of the different components of the breasts, the displacement analysis confirms that when the motion reaches the moment of largest displacement, the displacement of the breast components is proportional to their distance from the chest wall. A biomechanical analysis indicates that the stress sustained by the breast components in ascending order is the glandular tissues, pectoralis major muscle, adipose tissues, and ligaments. The ligaments provide the primary support during motion, followed by the pectoralis major muscle. In addition, specific stress points of the breast components are identified. The stiffness impact experiment indicates that compared with ligaments, the change of glandular tissue stiffness had a slightly more obvious effect on the breast surface. The findings serve as a valuable reference for the medical field and sports bra industry to enhance breast protection during motion.

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Analysis of the Nonlinear Elastic Response of Rubber Membrane with Embedded Circular Rigid Inclusion

Cited by 4 publications

References 12 publications

Reduced biomechanical models for precision-cut lung-slice stretching experiments

Reduced biomechanical models for precision-cut lung-slice stretching experiments

Reduced biomechanical models for precision-cut lung-slice stretching experiments

Construction of multi-component finite element model to predict biomechanical behaviour of breasts during running and quantification of the stiffness impact of internal structure

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