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This paper presents a new method for modelling the dynamic behaviour of developable ribbons, two dimensional strips with much smaller width than length. Instead of approximating such surface with a general triangle mesh, we characterize it…

Graphics · Computer Science 2016-03-15 Zherong Pan , Jin Huang , Hujun Bao

The proliferation of 3D representations, from explicit meshes to implicit neural fields and more, motivates the need for simulators agnostic to representation. We present a data-, mesh-, and grid-free solution for elastic simulation for any…

Computer Vision and Pattern Recognition · Computer Science 2024-07-16 Vismay Modi , Nicholas Sharp , Or Perel , Shinjiro Sueda , David I. W. Levin

In this paper we consider and generalize a model, recently proposed and analytically investigated in its quasi-stationary approximation by the authors, for visco-elasticity with large deformations and conditional compatibility, where the…

Analysis of PDEs · Mathematics 2024-03-14 Abramo Agosti , Michel Fremond

Compared to traditional rigid robotics, soft robotics has attracted increasing attention due to its advantages as compliance, safety, and low cost. As an essential part of soft robotics, the soft robotic gripper also shows its superior…

Robotics · Computer Science 2021-12-30 Xing Wang , Hanwen Kang , Hongyu Zhou , Wesley Au , Chao Chen

Integral expressions are determined for the elastic displacement and stress fields due to stationary or moving dislocation loops in finite samples. These general expressions are valid for anisotropic media as well. Specifically for the…

Condensed Matter · Physics 2017-02-08 Rodrigo Arias

Grids are a general representation for capturing regularly-spaced information, but since they are uniform in space, they cannot dynamically allocate resolution to regions with varying levels of detail. There has been some exploration of…

Graphics · Computer Science 2026-01-12 Julian Knodt , Seung-Hwan Baek

The fluid flow around a bluff body is complex and time dependent, which also contains a wide range of time and length scales. The first few eigenmodes of the proper orthogonal decomposition (POD) of such a flow provide significant insight…

Fluid Dynamics · Physics 2021-11-10 Jahrul Alam , Asokan Variyath

Manipulating volumetric deformable objects in the real world, like plush toys and pizza dough, bring substantial challenges due to infinite shape variations, non-rigid motions, and partial observability. We introduce ACID, an…

Computer Vision and Pattern Recognition · Computer Science 2022-08-09 Bokui Shen , Zhenyu Jiang , Christopher Choy , Leonidas J. Guibas , Silvio Savarese , Anima Anandkumar , Yuke Zhu

We present a hybrid Eulerian-Lagrangian method for the direct simulation of three-dimensional, heterogeneous structures made of soft fibers and immersed in incompressible viscous fluids. Fiber-based organization of matter is pervasive in…

Computational Physics · Physics 2024-01-19 Arman Tekinalp , Yashraj Bhosale , Songyuan Cui , Fan Kiat Chan , Mattia Gazzola

Controlling soft continuum robotic arms is challenging due to their hyper-redundancy and dexterity. In this paper we demonstrate, for the first time, closed-loop control of the configuration space variables of a soft robotic arm, composed…

Robotics · Computer Science 2022-10-04 Azadeh Doroudchi , Zhi Qiao , Wenlong Zhang , Spring Berman

Integral expressions are determined for the elastic displacement and stress fields due to stationary or moving dislocation loops in three dimensional, not necessarily isotropic, finite samples. A line integral representation is found for…

Materials Science · Physics 2007-05-23 Rodrigo Arias , Fernando Lund

Rod-based structures are commonly used in practical applications in science and engineering. However, in many design, analysis, and manufacturing tasks, handling the rod-based structures in three dimensions directly is generally…

Computational Geometry · Computer Science 2026-02-10 Mark Yan Lok Yip , Gary P. T. Choi

We consider a dilute solution of infinitely rigid rods near a curved, perfectly repulsive surface and study the contribution of the rod depletion layer to the bending elastic constants of membranes. We find that a spontaneous curvature…

Materials Science · Physics 2009-10-28 K. Yaman , P. Pincus , C. M. Marques

In this paper, we consider rods whose thickness vary linearly between $\eps$ and $\eps^2$. Our aim is to study the asymptotic behavior of these rods in the framework of the linear elasticity. We use a decomposition method of the…

Analysis of PDEs · Mathematics 2016-05-26 Georges Griso , Manuel Villanueva Pesqueira

Calculating by analytical theory the deformation of finite-sized elastic bodies in response to internally applied forces is a challenge. Here, we derive explicit analytical expressions for the amplitudes of modes of surface deformation of a…

Soft Condensed Matter · Physics 2024-07-15 Lukas Fischer , Andreas M. Menzel

Autonomy in robotic surgery is very challenging in unstructured environments, especially when interacting with deformable soft tissues. The main difficulty is to generate model-based control methods that account for deformation dynamics…

Robotics · Computer Science 2021-05-03 Fei Liu , Zihan Li , Yunhai Han , Jingpei Lu , Florian Richter , Michael C. Yip

This paper develops the equilibrium equations describing the flexoelectric effect in soft dielectrics under large deformations. Previous works have developed related theories using a flexoelectric coupling tensor of mixed material-spatial…

Computational Physics · Physics 2020-12-02 David Codony , Prakhar Gupta , Onofre Marco , Irene Arias

Soft robots have garnered significant attention due to their promising applications across various domains. A hallmark of these systems is their bilayer structure, where strain mismatch caused by differential expansion between layers…

Robotics · Computer Science 2025-02-04 Jiahao Li , Dezhong Tong , Zhuonan Hao , Yinbo Zhu , Hengan Wu , Mingchao Liu , Weicheng Huang

We propose a method for the description and simulation of the nonlinear dynamics of slender structures modeled as Cosserat rods. It is based on interpreting the strains and the generalized velocities of the cross sections as basic variables…

Classical Physics · Physics 2022-10-11 G. G. Giusteri , E. Miglio , N. Parolini , M. Penati , R. Zambetti

We extend the Locally-Subdivided Neural Intersection Function (LSNIF) to support parameterized deformable and animated geometry. Our approach introduces a rest-space and deformed-space formulation inspired by meshless rendering, allowing…

Graphics · Computer Science 2026-04-28 Chih-Chen Kao , Grzegorz Makowski , Shin Fujieda , Takahiro Harada