Asymptotic solutions on the circumferential wrinkling of growing tubular tissues

DOI10.1016/J.IJENGSCI.2018.03.005zbMath1423.74622OpenAlexW2791014558WikidataQ130063521 ScholiaQ130063521MaRDI QIDQ1625226

Yang Liu, Zongxi Cai, Lishuai Jin

Publication date: 29 November 2018

Published in: International Journal of Engineering Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ijengsci.2018.03.005

zbMATH Keywords

growthwrinklingtubeWKB analysisnon-linear elasticity

Mathematics Subject Classification ID

Biomechanics (92C10) Biomechanical solid mechanics (74L15)

Related Items (2)

An experimental study of morphological formation in bilayered tubular structures driven by swelling/growth ⋮ WKB analysis of the bifurcation for a three-dimensional neo-Hookean cylindrical tube under restricted compression

Uses Software

• Mathematica

Cites Work

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• The mathematics and mechanics of biological growth
• Circumferential buckling instability of a growing cylindrical tube
• Buckling condensation in constrained growth
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• Asymptotic bifurcation results for the eversion of elastic shells
• Compression of a hyperelastic layer-substrate structure: transitions between buckling and surface modes
• Another approach of WKB method for the stability analysis of the bending of an elastic rubber block
• Growth and instability in elastic tissues
• WKB Method with Repeated Roots and Its Application to the Buckling Analysis of an Everted Cylindrical Tube
• Asymptotic results for bifurcations in pure bending of rubber blocks
• On the imperfection sensitivity of a coated elastic half-space
• A WKB Analysis of the Buckling of an Everted Neo-Hookean Cylindrical Tube

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