Wrinkling pattern evolution of cylindrical biological tissues with differential growth

Jia, Fei; Li, Bo; Cao, Yanping; Xie, Wei-Hua; Feng, Xi‐Qiao

doi:10.1103/physreve.91.012403

Cited by 23 publications

(21 citation statements)

References 31 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…We confirm that the computationally simulated initial instability pattern agrees with the analytically predicted instability mode [57]. Unlike in previous studies [6, 36, 46], we did not have to prescribe specific folding patterns: our emerging instability modes are independent of the random perturbation and the folds are genuine results of the selected geometric and material parameters.…”

Section: Methodssupporting

confidence: 84%

Elastosis during airway wall remodeling explains multiple co-existing instability patterns

Eskandari

Javili

Kuhl

2016

Journal of Theoretical Biology

View full text Add to dashboard Cite

Living structures can undergo morphological changes in response to growth and alterations in microstructural properties in response to remodeling. From a biological perspective, airway wall inflammation and airway elastosis are classical hallmarks of growth and remodeling during chronic lung disease. From a mechanical point of view, growth and remodeling trigger mechanical instabilities that result in inward folding and airway obstruction. While previous analytical and computational studies have focused on identifying the critical parameters at the onset of folding, few have considered the post-buckling behavior. All prior studies assume constant microstructural properties during the folding process; yet, clinical studies now reveal progressive airway elastosis, the degeneration of elastic fibers associated with a gradual stiffening of the inner layer. Here, we explore the influence of temporally evolving material properties on the post-bifurcation behavior of the airway wall. We show that a growing and stiffening inner layer triggers an additional subsequent bifurcation after the first instability occurs. Evolving material stiffnesses provoke failure modes with multiple co-existing wavelengths, associated with the superposition of larger folds evolving on top of the initial smaller folds. This phenomenon is exclusive to material stiffening and conceptually different from the phenomenon of period doubling observed in constant-stiffness growth. Our study suggests that the clinically observed multiple wavelengths in diseased airways are a result of gradual airway wall stiffening. While our evolving material properties are inspired by the clinical phenomenon of airway elastosis, the underlying concept is broadly applicable to other types of remodeling including aneurysm formation or brain folding.

show abstract

Section: Methodssupporting

confidence: 84%

Elastosis during airway wall remodeling explains multiple co-existing instability patterns

Eskandari

Javili

Kuhl

2016

Journal of Theoretical Biology

View full text Add to dashboard Cite

show abstract

“…In the following, it is advantageous to reformulate this tensor in the current configuration by its pull-forward: δF = (δF c )F and δA = (δF c )A. The incremental form (13) of the equilibrium equations [26,27] can be written in terms of the nominal stress tensor S as Div δS = 0,…”

Section: Stability Analysismentioning

confidence: 99%

Curvature delays growth-induced wrinkling

2018

Self Cite

View full text Add to dashboard Cite

Wrinkling patterns can be induced by the growth of a thin elastic film over a soft elastic substrate. While there is a good understanding of how this pattern is initiated on a flat geometry, wrinkling patterns over a curved surface are more complicated. Here, we consider this phenomenon within the framework of large deformation morphoelasticity by investigating surface wrinkling of a growing thin elastic film bonded to a large elastic cylinder. The system has two important dimensionless parameters: the ratio η of the film thickness by the cylinder radius and the relative stiffness of the two layers ξ. Depending on the values of ξ and η we identify four different regimes for which we find the critical growth and wrinkling mode number. By combining asymptotic methods with numerical computations we determine the effect of the curvature on the bifurcation and establish that it always induces a delay at the bifurcation: larger growth is needed on a curved surface to induce the same wrinkling instability. These results are crucial to understand pattern formation on surface with varying curvatures.

show abstract

“…e-h Fabrication process and surface morphology of hierarchically buckled shell-core fibers: e schematic diagram of the fabrication process, f cross-sectional illustration of hierarchically buckled shell-core fibers, g, h SEM images of hierarchical buckles at 100% applied strain [53]. Copyright 2015 The American Association for the Advancement of Science in cylindrical core-shell systems under various stress states were reported [133,134,137,193]. When a cylindrical shell is subjected to circumferential compressive stress induced by radial shrinkage of the core, axial wrinkles form first and then transform into folds and doubles by increasing the shrinkage [133].…”

Section: Solid Core-shell Cylindersmentioning

confidence: 99%

Bioinspired Multiscale Wrinkling Patterns on Curved Substrates: An Overview

et al. 2020

View full text Add to dashboard Cite

HIGHLIGHTS • An overview of the formation mechanisms, fabrication methods, and applications of bioinspired wrinkling patterns on curved substrates is provided. • The effect of substrate curvature is described in detail to clarify the difference of wrinkling patterns between planar and curved substrates. • Opportunities and challenges of the surface wrinkling in the biofabrication, three-dimensional micro/nano fabrication, and fourdimensional printing are discussed.

show abstract

Wrinkling pattern evolution of cylindrical biological tissues with differential growth

Cited by 23 publications

References 31 publications

Elastosis during airway wall remodeling explains multiple co-existing instability patterns

Elastosis during airway wall remodeling explains multiple co-existing instability patterns

Curvature delays growth-induced wrinkling

Bioinspired Multiscale Wrinkling Patterns on Curved Substrates: An Overview

Contact Info

Product

Resources

About