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Inspired by the embodied intelligence of biological creatures like the octopus, the soft robotic arm utilizes its highly flexible structure to perform various tasks in the complex environment. While the classic Cosserat rod theory…

Robotics · Computer Science 2026-01-30 Yuchen Sun , Anup Teejo Mathew , Imran Afgan , Federico Renda , Cecilia Laschi

Magnetic soft robots have attracted growing interest due to their unique advantages in terms of untethered actuation and excellent controllability. However, finding the required magnetization patterns or magnetic fields to achieve the…

Robotics · Computer Science 2022-04-26 Jianpeng Yao , Quanliang Cao , Yuwei Ju , Yuxuan Sun , Ruiqi Liu , Xiaotao Han , Liang Li

Hard-magnetic soft materials (HMSMs) are particulate composites that consist of a soft matrix embedded with particles of high remnant magnetic induction. Since the application of an external magnetic flux induces a body couple in HMSMs, the…

Numerical Analysis · Mathematics 2023-01-05 Farzam Dadgar-Rad , Mokarram Hossain

The robotic shape control of deformable linear objects has garnered increasing interest within the robotics community. Despite recent progress, the majority of shape control approaches can be classified into two main groups: open-loop…

Robotics · Computer Science 2024-09-20 Azad Artinian , Faiz Ben Amar , Veronique Perdereau

The Cosserat solid is a theoretical model of a continuum whose elementary constituents are notional rigid bodies. Here we present a formulation of the mechanics of a Cosserat solid in the language of modern differential geometry and…

Mathematical Physics · Physics 2025-04-18 Balázs Németh , Ronojoy Adhikari

Recently soft robotics has rapidly become a novel and promising area of research with many designs and applications due to their flexible and compliant structure. However, it is more difficult to derive the nonlinear dynamic model of such…

Robotics · Computer Science 2022-06-09 Haihong Li , Lingxiao Xun , Gang Zheng

The design and control of soft robots operating in fluid environments requires a careful understanding of the interplay between large elastic body deformations and hydrodynamic forces. Here we show that this interplay leads to novel…

Soft Condensed Matter · Physics 2025-10-22 Mohamed Warda , Ronojoy Adhikari

We investigate discretizations of a geometrically nonlinear elastic Cosserat shell with nonplanar reference configuration originally introduced by B\^irsan, Ghiba, Martin, and Neff in 2019. The shell model includes curvature terms up to…

Numerical Analysis · Mathematics 2023-08-02 Lisa Julia Nebel , Oliver Sander , Mircea Bîrsan , Patrizio Neff

The characteristic ``in-plane" bending associated with soft robots' deformation make them preferred over rigid robots in sophisticated manipulation and movement tasks. Executing such motion strategies to precision in soft deformable robots…

Robotics · Computer Science 2023-12-12 Lekan Molu , Shaoru Chen , Audrey Sedal

SLOT (Soft Legged Omnidirectional Tetrapod), a tendon-driven soft quadruped robot with 3D-printed TPU legs, is presented to study physics-informed modeling and control of compliant legged locomotion using only four actuators. Each leg is…

Robotics · Computer Science 2026-02-19 Saumya Karan , Neerav Maram , Suraj Borate , Madhu Vadali

This paper presents a general, nonlinear isogeometric finite element formulation for rotation-free shells with embedded fibers that captures anisotropy in stretching, shearing, twisting and bending -- both in-plane and out-of-plane. These…

Computational Engineering, Finance, and Science · Computer Science 2023-06-06 Thang Xuan Duong , Mikhail Itskov , Roger Andrew Sauer

We propose a finite element method for simulating one-dimensional solid models moving and experiencing large deformations while immersed in generalized Newtonian fluids. The method is oriented towards applications involving microscopic…

Numerical Analysis · Mathematics 2022-01-26 Roberto F. Ausas , Cristian G. Gebhardt , Gustavo C. Buscaglia

We explore the locomotion of soft robots in granular medium (GM) resulting from the elastic deformation of slender rods. A low-cost, rapidly fabricable robot inspired by the physiological structure of bacteria is presented. It consists of a…

Robotics · Computer Science 2021-12-30 Yayun Du , Andrew Miller , M. Khalid Jawed

The robotic shape control of deformable linear objects has garnered increasing interest within the robotics community. Despite recent progress, the majority of shape control approaches can be classified into two main groups: open-loop…

Robotics · Computer Science 2024-09-23 Azad Artinian , Faiz Ben Amar , Veronique Perdereau

We develop a reduced model for hard-magnetic, thin, linear-elastic shells that can be actuated through an external magnetic field, with geometrically exact strain measures. Assuming a reduced kinematics based on the Kirchhoff-Love…

Soft Condensed Matter · Physics 2022-06-08 Matteo Pezzulla , Dong Yan , Pedro M. Reis

This paper aims to solve the equations of geometrically exact 3D nonlinear Cosserat static rods under large displacements with a mesh free alternative method to finite elements: the shooting method. One of the main goal of the work…

Classical Physics · Physics 2024-12-13 Surmont Florian , Coache Damien

Accurate finite element analysis of refined shell theories is crucial but often hindered by membrane and shear locking effects. While various element-based locking-free techniques exist, this work addresses the problem at the theoretical…

Numerical Analysis · Mathematics 2025-08-26 Khanh Chau Le , Hoang-Giang Bui

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

This article proposes a mortar type finite element formulation for consistently embedding curved, slender beams, i.e. 1D Cosserat continua, into 3D solid volumes. A consistent 1D-3D coupling scheme for this problem type is proposed, which…

Computational Engineering, Finance, and Science · Computer Science 2021-11-30 Ivo Steinbrecher , Alexander Popp , Christoph Meier

Soft robotics focuses on designing robots with highly deformable materials, allowing them to adapt and operate safely and reliably in unstructured and variable environments. While soft robots offer increased compliance over rigid body…

Robotics · Computer Science 2024-08-20 Zach J. Patterson , Emily Sologuren , Cosimo Della Santina , Daniela Rus