Surface wrinkling of mucosa induced by volumetric growth: Theory, simulation and experiment

Li, Bo; Cao, Yanping; Feng, Xi‐Qiao; Gao, Huajian

doi:10.1016/j.jmps.2011.01.010

Cited by 219 publications

(208 citation statements)

References 74 publications

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“…This study focuses only on the buckling, on which the in-plane displacement is shown to have a minor influence [1]. The finite elasticity effect stands out only in the post-buckling region with (very) large deformation [12,13]. By applying the principle of virtual work, i.e., δU = 0, the following governing equations are derived…”

Section: Model Developmentmentioning

confidence: 99%

The Mexican hat effect on the delamination buckling of a compressed thin film

Zhang

Liu

2014

Acta Mech Sin

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Section: Model Developmentmentioning

confidence: 99%

The Mexican hat effect on the delamination buckling of a compressed thin film

Zhang

Liu

2014

Acta Mech Sin

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“…Growth induced buckling of layered isotropic tube has been modeled by D.E. Moulton [19,20] and Bo Li [21,22] and applied to airway narrowing. These models assume deformations uniform along the tube axis, and investigate the circumferential folding only.…”

Section: Introductionmentioning

confidence: 99%

Growth induced buckling instability of anisotropic tube and its application in wound edge instability

Yang

Witten

Pidaparti

2017

Curved and Layered Structures

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Fiber reinforced anisotropic material abounds in biological world. It has been demonstrated in previous theoretical and experimental works that growth of biological soft tubular tissue plays a significant role in morphogenesis and pathology. Here we investigate growth-induced buckling of anisotropic cylindrical tissue, focusing on the effects of type of growth(constraint/unconstraint, isotropic/anisotropic), fiber property(orientation, density and strength), geometry and any interaction between these factors. We studied one-layer and two-layer models and obtained a rich spectrum of results. For one-layer model, we demonstrate that circumferential fiber orientation has a consistent stabilizing effect under various scenarios of growth. Higher fiber density has a destabilizing effect by disabling high-mode buckling. For two-layer model, we found that critical buckling strain at inner boundary is an invariant under same isotropic growth rate ratio between inner/outer layer(g i /g 0 ). Then we applied our model to wound healing and illustrate the effects of skin residual stress, fiber property, proliferation region width and wound size on the wound edge stability. We conclude that fiber-reinforcement is an important factor to consider when investigating growth induced instability of anisotropic soft tissue.

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“…Generally, biological tissues are composed of multiple layers of different thicknesses, material properties, and growth rates; e.g. the skin [5], brain [6], artery [7], gut [8], and esophagus [9]. Non-uniform growth results in the appearance of strain mismatch among the layers and leads to the advent of residual stresses [10].…”

Section: Introductionmentioning

confidence: 99%

“…It depends on ratios of the moduli and thicknesses of both layers [24]. It has been shown that during growth, multilayer hyperelastic soft tissues with considerable differences in the shear moduli of each layer tend to develop wrinkles [1,9], while the same structures using layers with material properties more similar to each other prefer to develop creases [25][26][27]. Beyond the simple sinusoidal wrinkling, new complex morphologies emerge in a multilayer structure being compressed or grown, e.g.…”

Section: Introductionmentioning

confidence: 99%

“…Beyond the simple sinusoidal wrinkling, new complex morphologies emerge in a multilayer structure being compressed or grown, e.g. perioddoubling and period-quadrupling [9]. Recent study showed that this kind of instability can be also observed in a low stiffness regime and that pattern formation is highly sensitive to small imperfections [28].…”

Section: Introductionmentioning

confidence: 99%

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Surface and interfacial creases in a bilayer tubular soft tissue

2016

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Surface and interfacial creases induced by biological growth are common types of instability in soft biological tissues. This study focuses on the criteria for the onset of surface and interfacial creases as well as its morphological evolution in a growing bilayer soft tube within a confined environment. Critical growth ratios for triggering surface and interfacial creases are investigated both analytically and numerically. Analytical interpretations provide preliminary insights into critical stretches and growth ratios for the onset of instability and formation of both surface and interfacial creases. However, the analytical approach cannot predict the evolution pattern of the model after instability, therefore non-linear finite element simulations are carried out to replicate the post-stability morphological patterns of the structure. Analytical and computational simulation results demonstrate that the initial geometry, growth ratio, and shear modulus ratio of the layers are the most influential factors to control surface and interfacial crease formation in this soft tubular bilayer. The competition between the stretch ratios in the free and interfacial surfaces is one of the key driving factors to determine the location of the first crease initiation. These findings may provide some fundamental understanding in the growth modeling of tubular biological tissues such as esophagi and airways as well as offering useful clues into normal and pathological functions of these tissues.

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Surface wrinkling of mucosa induced by volumetric growth: Theory, simulation and experiment

Cited by 219 publications

References 74 publications

The Mexican hat effect on the delamination buckling of a compressed thin film

The Mexican hat effect on the delamination buckling of a compressed thin film

Growth induced buckling instability of anisotropic tube and its application in wound edge instability

Surface and interfacial creases in a bilayer tubular soft tissue

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