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We present a principled method for dynamic simulation of rigid bodies in intermittent contact with each other where the contact is assumed to be a non-convex contact patch that can be modeled as a union of convex patches. The prevalent…

Robotics · Computer Science 2018-09-18 Jiayin Xie , Nilanjan Chakraborty

We present a principled method for motion prediction via dynamic simulation for rigid bodies in intermittent contact with each other where the contact region is a planar non-convex contact patch. Such methods are useful in planning and…

Robotics · Computer Science 2020-10-08 Jiayin Xie , Nilanjan Chakraborty

We present a principled method for motion prediction via dynamic simulation for rigid bodies in intermittent contact with each other where the contact is assumed to be a planar non-convex contact patch. The planar non-convex contact patch…

Robotics · Computer Science 2019-04-18 Jiayin Xie , Nilanjan Chakraborty

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 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)…

We present a novel convex formulation that weakly couples the Material Point Method (MPM) with rigid body dynamics through frictional contact, optimized for efficient GPU parallelization. Our approach features an asynchronous time-splitting…

Robotics · Computer Science 2025-07-08 Chang Yu , Wenxin Du , Zeshun Zong , Alejandro Castro , Chenfanfu Jiang , Xuchen Han

In this paper, we present a principled method to model general planar sliding motion with distributed convex contact patch. The effect of contact patch with indeterminate pressure distribution can be equivalently modeled as the contact…

Robotics · Computer Science 2019-04-18 Jiayin Xie , Nilanjan Chakraborty

A main challenge in numerical simulations of moving contact line problems is that the adherence, or no-slip boundary condition leads to a non-integrable stress singularity at the contact line. In this report we perform the first steps in…

Fluid Dynamics · Physics 2015-10-23 Hanna Holmgren , Gunilla Kreiss

In this paper, we introduce a novel convex formulation that seamlessly integrates the Material Point Method (MPM) with articulated rigid body dynamics in frictional contact scenarios. We extend the linear corotational hyperelastic model…

Robotics · Computer Science 2024-10-21 Zeshun Zong , Chenfanfu Jiang , Xuchen Han

We introduce an approximate model for predicting the net contact wrench between nominally rigid objects for use in simulation, control, and state estimation. The model combines and generalizes two ideas: a bed of springs (an "elastic…

Computational Engineering, Finance, and Science · Computer Science 2019-08-07 Ryan Elandt , Evan Drumwright , Michael Sherman , Andy Ruina

We present a convex formulation of compliant frictional contact and a robust, performant method to solve it in practice. By analytically eliminating contact constraints, we obtain an unconstrained convex problem. Our solver has proven…

Computational Engineering, Finance, and Science · Computer Science 2022-06-24 Alejandro Castro , Frank Permenter , Xuchen Han

An effective paradigm for simulating the dynamics of robots that locomote and manipulate is multi-rigid body simulation with rigid contact. This paradigm provides reasonable tradeoffs between accuracy, running time, and simplicity of…

Robotics · Computer Science 2016-08-09 Evan M. Drumwright

Accurately modeling contact behaviors for real-world, near-rigid materials remains a grand challenge for existing rigid-body physics simulators. This paper introduces a data-augmented contact model that incorporates analytical solutions…

Robotics · Computer Science 2022-06-23 Yifeng Jiang , Jiazheng Sun , C. Karen Liu

We present a novel convex formulation that models rigid and deformable bodies coupled through frictional contact. The formulation incorporates a new corotational material model with positive semi-definite Hessian, which allows us to extend…

Computational Engineering, Finance, and Science · Computer Science 2023-03-17 Xuchen Han , Joseph Masterjohn , Alejandro Castro

Accurate and robust modelling of large deformation three dimensional contact interaction is an important area of engineering, but it is also challenging from a computational mechanics perspective. This is particularly the case when there is…

We present a quasi-static finite element simulator for human face animation. We model the face as an actuated soft body, which can be efficiently simulated using Projective Dynamics (PD). We adopt Incremental Potential Contact (IPC) to…

Graphics · Computer Science 2023-12-07 Bo Li , Lingchen Yang , Barbara Solenthaler

We present a GPU-friendly framework for real-time implicit simulation of elastic material in the presence of frictional contacts. The integration of hyperelasticity, non-interpenetration contact, and friction in real-time simulations…

Graphics · Computer Science 2025-03-20 Ziqiu Zeng , Siyuan Luo , Fan Shi , Zhongkai Zhang

We present a differentiable formulation of rigid-body contact dynamics for objects and robots represented as compositions of convex primitives. Existing optimization-based approaches simulating contact between convex primitives rely on a…

Whether rigid or compliant, contact interactions are inherent to robot motions, enabling them to move or manipulate things. Contact interactions result from complex physical phenomena, that can be mathematically cast as Nonlinear…

Robotics · Computer Science 2024-05-28 Justin Carpentier , Louis Montaut , Quentin Le Lidec

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
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