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

Le Yang, Tarynn M. Witten, and Ramana M. Pidaparti. "Growth induced buckling instability of anisotropic tube and its application in wound edge instability." Curved and Layered Structures 4.1 (2017): 167-188. <http://eudml.org/doc/288350>.

@article{LeYang2017,
abstract = {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(g1 /g0). 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.},
author = {Le Yang, Tarynn M. Witten, Ramana M. Pidaparti},
journal = {Curved and Layered Structures},
keywords = {buckling analysis; fiber-reinforced anisotropic tissue; growth-induced instability},
language = {eng},
number = {1},
pages = {167-188},
title = {Growth induced buckling instability of anisotropic tube and its application in wound edge instability},
url = {http://eudml.org/doc/288350},
volume = {4},
year = {2017},
}

TY - JOUR
AU - Le Yang
AU - Tarynn M. Witten
AU - Ramana M. Pidaparti
TI - Growth induced buckling instability of anisotropic tube and its application in wound edge instability
JO - Curved and Layered Structures
PY - 2017
VL - 4
IS - 1
SP - 167
EP - 188
AB - 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(g1 /g0). 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.
LA - eng
KW - buckling analysis; fiber-reinforced anisotropic tissue; growth-induced instability
UR - http://eudml.org/doc/288350
ER -