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The contact dynamics method (CD) is an efficient simulation technique of dense granular media where unilateral and frictional contact problems for a large number of rigid bodies have to be solved. In this paper we present a modified version…

Computational Physics · Physics 2011-04-19 M. Reza Shaebani , Tamas Unger , Janos Kertesz

Dynamic fragmentation simulations are essential for predicting material response at high strain rates, yet explicit dynamic simulations that combine an extrinsic cohesive-zone model (CZM) with penalty-based contact often exhibit severe…

Computational Physics · Physics 2025-11-19 Thibault Ghesquière-Diérickx , Jean-François Molinari , Guillaume Anciaux

Granular packings of hard discs are investigated by means of contact dynamics which is an appropriate technique to explore the allowed force-realizations in the space of contact forces. Configurations are generated for given values of the…

Soft Condensed Matter · Physics 2009-11-10 Tamas Unger , Janos Kertesz , Dietrich E. Wolf

The systematic errors due to the practical implementation of the Contact Dynamics method for simulation of dense granular media are examined. It is shown that, using the usual iterative solver to simulate a chain of rigid particles,…

Soft Condensed Matter · Physics 2009-11-07 Tamas Unger , Lothar Brendel , Dietrich E. Wolf , Janos Kertesz

We present a differentiable dynamics solver that is able to handle frictional contact for rigid and deformable objects within a unified framework. Through a principled mollification of normal and tangential contact forces, our method…

Robotic manipulation can greatly benefit from the data efficiency, robustness, and predictability of model-based methods if robots can quickly generate models of novel objects they encounter. This is especially difficult when effects like…

Robotics · Computer Science 2023-10-19 Bibit Bianchini , Mathew Halm , Michael Posa

A new continuous contact force model for contacting problems with regular or irregular contacting surfaces and energy dissipations in multibody systems is presented and discussed in this work. The model is developed according to Hertz law…

Classical Physics · Physics 2020-01-07 Jie Zhang , Wenhao Li , Lei Zhao , Guangping He

We present a framework for the simulation of rigid and deformable bodies in the presence of contact and friction. Our method is based on a non-smooth Newton iteration that solves the underlying nonlinear complementarity problems (NCPs)…

Elastic contact in hydrodynamic environments is a complex multiphysics phenomenon and can be found in applications ranging from engineering to biological systems. Understanding the intricacies of this coupled problem requires the…

Fluid Dynamics · Physics 2024-09-17 Biswajeet Rath , Xiaoyu Mao , Rajeev K. Jaiman

In this paper we review the simulation method of the non-smooth contact dynamics. This technique was designed to solve the unilateral and frictional contact problem for a large number of rigid bodies and has proved to be especially valuable…

Soft Condensed Matter · Physics 2009-11-07 Tamas Unger , Janos Kertesz

We present a computational framework for simulating filaments interacting with rigid bodies through contact. Filaments are challenging to simulate due to their codimensionality, i.e., they are one-dimensional structures embedded in…

Robotics · Computer Science 2025-09-18 Wei-Chen Li , Glen Chou

We introduce a contact law for the normal force generated between two contacting, elastically anisotropic bodies of arbitrary geometry. The only requirement is that their surfaces be smooth and frictionless. This anisotropic contact law is…

Soft Condensed Matter · Physics 2021-04-23 Saviz Mowlavi , Ken Kamrin

Topologies of large deformation Contact-aided Compliant Mechanisms (CCMs), with self and mutual contact, exemplified via path generation applications, are designed using the continuum synthesis approach. Design domains are parameterized…

Computational Engineering, Finance, and Science · Computer Science 2018-10-24 Prabhat Kumar , Anupam Saxena , Roger A. Sauer

This article presents a new force model for performing quantitative simulations of dense granular materials. Interactions between multiple contacts (MC) on the same grain are explicitly taken into account. Our readily applicable method…

Soft Condensed Matter · Physics 2018-10-22 Nicolas Brodu , Joshua A. Dijksman , Robert P. Behringer

We present an efficient, accurate, and robust method for simulation of dense suspensions of deformable and rigid particles immersed in Stokesian fluid in two dimensions. We use a well-established boundary integral formulation for the…

Numerical Analysis · Mathematics 2017-08-23 Libin Lu , Abtin Rahimian , Denis Zorin

Generating intelligent robot behavior in contact-rich settings is a research problem where zeroth-order methods currently prevail. A major contributor to the success of such methods is their robustness in the face of non-smooth and…

Robotics · Computer Science 2025-04-15 Onur Beker , Nico Gürtler , Ji Shi , A. René Geist , Amirreza Razmjoo , Georg Martius , Sylvain Calinon

We study the problem of rapidly identifying contact dynamics of unknown objects in partially known environments. The key innovation of our method is a novel formulation of the contact dynamics estimation problem as the joint estimation of…

Robotics · Computer Science 2024-09-27 Jinhoo Kim , Yifan Zhu , Aaron Dollar

We extend the incremental potential contact (IPC) model for contacting elastodynamics to resolve systems composed of codimensional DOFs in arbitrary combination. This enables a unified, interpenetration-free, robust, and stable simulation…

Graphics · Computer Science 2021-05-07 Minchen Li , Danny M. Kaufman , Chenfanfu Jiang

In Part I of this two part series, we presented a multi-neighbor dependent contact model for adhesive elastic-plastic particles built upon the method of dimensionality reduction that is valid for the elastic and fully-plastic contact…

Soft Condensed Matter · Physics 2023-09-15 William Zunker , Ken Kamrin

Common methods for learning robot dynamics assume motion is continuous, causing unrealistic model predictions for systems undergoing discontinuous impact and stiction behavior. In this work, we resolve this conflict with a smooth, implicit…

Robotics · Computer Science 2020-11-03 Samuel Pfrommer , Mathew Halm , Michael Posa
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