How To Understand Coco For Bvp
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Blog posts
2025
Non-Euclidean Euler Buckling
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Non-Euclidean Euler Buckling
General Biomimetic Turing Machine
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The General theory for BTM
The Geometry in Shell Theory
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The General Theory of Elastic Shell
Multiscale model of non-Euclide plate
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As a successful model, non-Euclide plate is widely applied in predicting the morphing behavior of bilayer structure. However, although anisotropic swelling can be well describe by this model, the mechanics properties, specifically speaking the Young’s modulus, are isotropic in this model. In reality, it is nearly impossible to find materials with such characteristics. In general, the swelling direction constrained by the alligned fibril is the micromechanism of the anisotropic swelling, which inevitably leads to the anisotropy of Young’s modulus. Understanding the coupling effect of ansiotrpic Young’s modulus and anisotropic swelling is still far from being investigated. In this note, we build the multiscale non-Euclide plate model from fibril-matrix mesomechanics constitutive. The effect of anisotropic mechanics properties is evaluated by taking the helicoid-to-helix ribbon transformation as an example.
Inverse design of the geometry frustrated elastica
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Introduction
In this note, we will discuss an inverse design problem: given an elastica the objective configuration, how to decide the undeformed configuration under the clamped-clamped boundary condition?
The Instability of Kirchhoff Rod
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The note of frame perturbation method applied in analyzing the instability of Kirchhoff Rod.
The basic equation
In this section, we review the basic equation of Kirchhoff rod and derive the basic perturbation format of local frame based on the orthogonality laying the foudation for the instability analysis in next section.