Skip to main content

hyper elasticity

Computing wrinkling and restabilization of stretched sheets based on a consistent finite-strain plate theory

Submitted by Fan Xu on
research
bifurcation
hyper elasticity

It was reported both in experiments and computations using some classical plate theories that wrinkles can appear in a uniaxially stretched rectangular hyperelastic film with clamped-clamped boundaries and can be suppressed upon further tension. Here, based on a recently-available consistent finite-strain plate theory, we investigate this complex instability problem with isola-center bifurcation (the nontrivial solution curve begins and ends at two distinct points on the trivial line) in more depth and present an efficient numerical algorithm.

Mathematically exploring wrinkle evolution

Submitted by Fan Xu on
research
hyper elasticity
thin film

Wrinkling is one of the most important mechanical deformation modes (for example, buckling and crumpling) that are omnipresent in our daily life: for instance, wrinkled fingers after soaking in water for a prolonged time, the folds within the brain, and metal wrinkles after a car collision, to name a few.

Curvature tunes wrinkling in shells

Submitted by Fan Xu on
research
hyper elasticity
finite strain
differential geometry

Transverse wrinkles usually emerge in a uniaxially stretched elastic film and can be suppressed upon further tension, which is an instability-restabilization behavior due to the nonlinear competition between stretching energy and bending energy. Here, we show that curvature can effectively and precisely tune the wrinkling localization and amplitude.

A phase-field mixture theory of tumor growth

Submitted by danialfaghihi on
research
phase-field modeling
hyper elasticity
cancer biophysics
biomechancis

Our paper on the phase-field mixture theory of tumor growth is published in JMPS. The continuum model simulates significant mechano-chemo-biological features of avascular tumor growth in the various microenvironment, i.e., nutrient concentration and mechanical stress.

Faghihi, Feng, Lima, Oden, and Yankeelov (2020). A Coupled Mass Transport and Deformation Theory of Multi-constituent Tumor Growth. Journal of the Mechanics and Physics of Solids, 103936.

2D Mooney Rivlin Strain Energy Function

Submitted by shah7 on
2D
strain energy function
hyper elasticity
mooney rivlin

Hi,

I want to model a tissue using the Mooney Rivlin strain energy function. However, I am currently working in 2D (plane stress or plane strain would do). I only found the 3D material model for the strain energy density function online. What modifications should I make for converting it to 2d? I read that there is only 1 parameter required for the 2D case as opposed to the 3D case. What is the equation of this function? Is there any relation between the parameter C10 and C01 of the 3D case, and C1 of the 2D case for the same material?

Subscribe to hyper elasticity