Research
My research broadly spans the areas of analytical and computational solid mechanics and DNA statistical mechanics. In particular, I am interested in the mechanics of flexible slender structures (e.g., cables, nanorods, DNA) at different levels of detail and application. My research projects can be classified as following four categories:
Coupled deformation in elastic tubes
Highlights
- Pressurized circular tubes with helical anisotropy
- Coupled extension–torsion–inflation deformation
- Analytical expressions for stiffnesses
- Overwinding/unwinding
- Positive/negative Poisson’s effect
Modeling self-contact & supercoiling
Highlights
- A singularity-free approach for modeling charged biomolecules
- Supercoiling in charged elastic ring due to its twisting
- Integro-differential equations & finite difference scheme
- Equilibria of Kirchhoff & special Cosserat rods
- Handeling self-contact in an Impenetrable rod
- Asymptotic numerical method for cubic polynomial
- Bifurcation diagram & perturbation technique
Highlights
- Nonlinear constitutive relations
- Analytical formulas of nanorod stiffnesses
- Finite element formulation for cross-sectional deformation
- Size-dependent mechanical properties
- In-plane and out-of-plane warping deformation
Highlights
- Looping probabilities of fluctuating polymers
- Coarse-grain modeling of DNA
- Sequence-dependent DNA minicircle shapes
- DNA and RNA and hybrid DNA-RNA under force
- Importance sampling & Monte Carlo simulations
- Clustering with machine learning techniques
Modeling Mechanics @ Multiscale 