Zobrazeno 1 - 10
of 225
pro vyhledávání: '"Fu, Yibin"'
The study of growth-induced surface wrinkling in constrained bilayers comprising a thin film attached to a thick substrate is a canonical model for understanding pattern formation in many biological systems. While the bilayer model has received much
Externí odkaz:
http://arxiv.org/abs/2405.11989
Bilayers (soft substrates coated with stiff films) are commonly found in nature with examples including skin tissue, vesicles, or organ membranes. They exhibit various types of instabilities when subjected to compression, depending on the contrast in
Externí odkaz:
http://arxiv.org/abs/2404.12873
Publikováno v:
Mathematics and Mechanics of Solids, 2024
We derive the incremental equations for a hyperelastic solid that incorporate surface tension effect by assuming that the surface energy is a general function of the surface deformation gradient. The incremental equations take the same simple form as
Externí odkaz:
http://arxiv.org/abs/2308.10233
We derive a one-dimensional (1d) model for the analysis of bulging or necking in an inflated hyperelastic tube of {\it finite wall thickness} from the three-dimensional finite elasticity theory by applying the dimension reduction methodology proposed
Externí odkaz:
http://arxiv.org/abs/2301.02845
We investigate the stability of a circular electrodes-coated dielectric membrane under the combined action of an electric field and all-round in-plane tension. It is known that such a membrane is susceptible to the limiting point instability (also kn
Externí odkaz:
http://arxiv.org/abs/2301.01129
The classical reduced model for a film/substrate bilayer is one in which the film is governed by the Euler-Bernoulli beam equation and the substrate is replaced by an array of springs (the so-called Winkler foundation assumption). We derive a refined
Externí odkaz:
http://arxiv.org/abs/2205.06044
When a rubber tube with free ends is inflated under volume control, the pressure will first reach a maximum and then decrease monotonically to approach a constant asymptote. The pressure maximum corresponds to the initiation of a localised bulge and
Externí odkaz:
http://arxiv.org/abs/2203.04110
Publikováno v:
In International Journal of Non-Linear Mechanics November 2024 166
We consider bifurcations from the homogeneous solution of a circular or square hyperelastic sheet that is subjected to equibiaxial stretching under either force- or displacement-controlled edge conditions. We derive the condition for axisymmetric nec
Externí odkaz:
http://arxiv.org/abs/2112.10466
We provide an analytic derivation of the bifurcation conditions for localized bulging in an inflated hyperelastic tube of arbitrary wall thickness and axisymmetric necking in a hyperelastic sheet under equibiaxial stretching. It has previously been s
Externí odkaz:
http://arxiv.org/abs/2109.04036