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Related papers: Active Learning of Fractional-Order Viscoelastic M…

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Haptic rendering of viscoelastic materials that exhibit creep and stress relaxation is crucial for many applications, such as medical training with realistic biological tissue models. Fractional-order viscoelastic models provide an…

Robotics · Computer Science 2026-05-19 Gorkem Gemalmaz , Harun Tolasa , Volkan Patoglu

Fractional order models have proven to be a very useful tool for the modeling of the mechanical behaviour of viscoelastic materials. Traditional numerical solution methods exhibit various undesired properties due to the non-locality of the…

Numerical Analysis · Mathematics 2023-01-30 Kai Diethelm

Modeling human operator's dynamic plays a very important role in the manual closed-loop control system, and it is an active research area for several decades. Based on the characteristics of human brain and behaviour, a new kind of…

Systems and Control · Computer Science 2016-01-11 Jiacai Huang , Yangquan Chen , Haibin Li , Xinxin Shi

It has recently been discovered that the viscoelastic properties of cells are inherent markers reflecting the complex biological states, functions and malfunctions of the cells. Although the extraction of model parameters from the…

Biological Physics · Physics 2022-01-10 Anh Vo , Andrew Ekpenyong

This contribution deals with identification of fractional-order dynamical systems. System identification, which refers to estimation of process parameters, is a necessity in control theory. Real processes are usually of fractional order as…

Other Computer Science · Computer Science 2016-11-15 Deepyaman Maiti , Mithun Chakraborty , Amit Konar

Tactile perception is key to dexterous manipulation, yet simulating high-resolution elastomer deformation remains computationally prohibitive. Finite element methods (FEM) deliver high fidelity but demand costly remeshing, while Material…

Robotics · Computer Science 2026-05-07 Yuhu Guo , Zhikai Shen , Jiasheng Qu , Chenghao Qian , Yuming Huang , Bin Chen , Guoxing Fang

This study investigates the use of fractional order differential models to simulate the dynamic response of non-homogeneous discrete systems and to achieve efficient and accurate model order reduction. The traditional integer order approach…

Numerical Analysis · Mathematics 2016-12-22 John P. Hollkamp , Mihir Sen , Fabio Semperlotti

For some time now, wood has offered itself as an alternative to other modern construction materials, and has become the material of choice for structures, mainly because of its renewable nature, durability and ease of shaping. However, once…

This paper presents a data-integrated framework for learning the dynamics of fractional-order nonlinear systems in both discrete-time and continuous-time settings. The proposed framework consists of two main steps. In the first step,…

Systems and Control · Electrical Eng. & Systems 2025-06-19 Bahram Yaghooti , Chengyu Li , Bruno Sinopoli

The behavior of materials is influenced by a wide range of phenomena occurring across various time and length scales. To better understand the impact of microstructure on macroscopic response, multiscale modeling strategies are essential.…

Recent studies have demonstrated the advantages of fractional-order calculus tools for probing the viscoelastic properties of collagenous tissue, characterizing the arterial blood flow and red cell membrane mechanics, and modeling the…

Systems and Control · Electrical Eng. & Systems 2020-10-21 Mohamed A. Bahloul , Taous-Meriem Laleg Kirati

Our study focuses on fractional order compartment models derived from underlying physical stochastic processes, providing a more physically grounded approach compared to models that use the dynamical system approach by simply replacing…

We develop a fractional return-mapping framework for power-law visco-elasto-plasticity. In our approach, the fractional viscoelasticity is accounted through canonical combinations of Scott-Blair elements to construct a series of well-known…

Numerical Analysis · Mathematics 2022-10-05 Jorge L. Suzuki , Maryam Naghibolhosseini , Mohsen Zayernouri

We develop a thermodynamically consistent, fractional visco-elasto-plastic model coupled with damage for anomalous materials. The model utilizes Scott-Blair rheological elements for both visco-elastic/plastic parts. The constitutive…

Numerical Analysis · Mathematics 2019-11-19 Jorge L. Suzuki , Yongtao Zhou , Marta D'Elia , Mohsen Zayernouri

This contribution deals with identification of fractional-order dynamical systems. System identification, which refers to estimation of process parameters, is a necessity in control theory. Real processes are usually of fractional order as…

Other Computer Science · Computer Science 2016-11-15 Deepyaman Maiti , Ayan Acharya , R. Janarthanan , Amit Konar

Soft materials often exhibit a distinctive power-law viscoelastic response arising from broad distribution of time-scales present in their complex internal structure. A promising tool to accurately describe the rheological behaviour of soft…

Soft Condensed Matter · Physics 2020-07-17 Alessandra Bonfanti , Jonathan Louis Kaplan , Guillaume Charras , Alexandre J Kabla

Accurately modeling local surface properties of objects is crucial to many robotic applications, from grasping to material recognition. Surface properties like friction are however difficult to estimate, as visual observation of the object…

Robotics · Computer Science 2025-01-09 Tran Nguyen Le , Francesco Verdoja , Fares J. Abu-Dakka , Ville Kyrki

We discuss a generalisation of fractional linear viscoelasticity based on Scarpi's approach to variable-order fractional calculus. After reviewing the general mathematical framework, we introduce the variable-order fractional Maxwell model…

Mathematical Physics · Physics 2023-11-29 A. Giusti , I. Colombaro , R. Garra , R. Garrappa , A. Mentrelli

Reduced-order models that accurately abstract high fidelity models and enable faster simulation is vital for real-time, model-based diagnosis applications. In this paper, we outline a novel hybrid modeling approach that combines machine…

Signal Processing · Electrical Eng. & Systems 2020-03-06 Ion Matei , Johan de Kleer , Alexander Feldman , Rahul Rai , Souma Chowdhury

Finite element methods (FEM) are popular approaches for simulation of soft tissues with elastic or viscoelastic behavior. However, their usage in real-time applications, such as in virtual reality surgical training, is limited by…

Machine Learning · Computer Science 2023-01-12 Mohammad Karami , Hervé Lombaert , David Rivest-Hénault
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