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Differentiable physics has recently been shown as a powerful tool for solving soft-body manipulation tasks. However, the differentiable physics solver often gets stuck when the initial contact points of the end effectors are sub-optimal or…

Robotics · Computer Science 2022-05-06 Sizhe Li , Zhiao Huang , Tao Du , Hao Su , Joshua B. Tenenbaum , Chuang Gan

The Fragile Points Method (FPM) is an elementarily simple Galerkin meshless method, employing Point-based discontinuous trial and test functions only, without using element-based trial and test functions. In this study, the algorithmic…

Numerical Analysis · Mathematics 2020-11-26 Tian Yang , Leiting Dong , Satya N. Atluri

Efficient and robust trajectories play a crucial role in contact-rich manipulation, which demands accurate mod- eling of object-robot interactions. Many existing approaches rely on point contact models due to their computational effi-…

Robotics · Computer Science 2026-02-04 Haegu Lee , Yitaek Kim , Casper Hewson Rask , Christoffer Sloth

This research explored a novel explicit total Lagrangian Fragile Points Method (FPM) for finite deformation of hyperelastic materials. In contrast to mesh-based methods, where mesh distortion may pose numerical challenges, meshless methods…

Model Predictive Control (MPC) is widely used for torque-controlled robots, but classical formulations often neglect real-time force feedback and struggle with contact-rich industrial tasks under collision constraints. Deburring in…

Large-scale contact mechanics simulations are crucial in many engineering fields such as structural design and manufacturing. In the frictionless case, contact can be modeled by minimizing an energy functional; however, these problems are…

Differentiable physics is a powerful tool in computer vision and robotics for scene understanding and reasoning about interactions. Existing approaches have frequently been limited to objects with simple shape or shapes that are known in…

Computer Vision and Pattern Recognition · Computer Science 2022-01-11 Michael Strecke , Joerg Stueckler

It is significantly challenging to obtain accurate contact forces in peridynamics (PD) simulations due to the difficulty of surface particles identification, particularly for complex geometries. Here, an improved point-to-surface contact…

Computational Engineering, Finance, and Science · Computer Science 2025-06-19 Haoran Zhang , Lisheng Liu , Xin Lai , Jun Li

We propose a hybrid model predictive control algorithm, consensus complementarity control (C3), for systems that make and break contact with their environment. Many state-of-the-art controllers for tasks which require initiating contact…

Robotics · Computer Science 2022-03-04 Alp Aydinoglu , Michael Posa

Dynamic shearing banding and fracturing in unsaturated porous media is a significant problem in engineering and science. This article proposes a multiphase micro-periporomechanics (uPPM) paradigm for modeling dynamic shear banding and…

Numerical Analysis · Mathematics 2024-01-10 Hossein Pashazad , Xiaoyu Song

The contact of solids with rough surfaces plays a fundamental role in physical phenomena such as friction, wear, sealing, and thermal transfer. However, its simulation is a challenging problem due to surface asperities covering a wide range…

Soft Condensed Matter · Physics 2019-04-16 Lucas Frérot , Marc Bonnet , Jean-François Molinari , Guillaume Anciaux

A path-following collision-avoidance model predictive control (MPC) method is proposed which approximates obstacle shapes as convex polygons. Collision-avoidance is ensured by means of the signed distance function which is calculated…

Systems and Control · Electrical Eng. & Systems 2021-03-26 Simon Helling , Christian Roduner , Thomas Meurer

The estimation of the motor torque and friction parameters are crucial for implementing an efficient low level joint torque control. In a set of coupled joints, the actuators torques are mapped to the output joint torques through a coupling…

Robotics · Computer Science 2019-06-13 Nuno Guedelha , Silvio Traversaro , Daniele Pucci

We present an arbitrary updated Lagrangian Material Point Method (A-ULMPM) to alleviate issues, such as the cell-crossing instability and numerical fracture, that plague state of the art Eulerian formulations of MPM, while still allowing…

Graphics · Computer Science 2021-08-03 Haozhe Su , Tao Xue , Chengguizi Han , Mridul Aanjaneya

An efficient method is presented for solving axisymmetric, frictionless contact problems between a rigid punch and an elastically non-homogeneous, power-law graded half-space. Provided that the contact area is simply-connected profiles of…

Materials Science · Physics 2016-02-16 Markus Heß

Many practical applications of optimal control are subject to real-time computational constraints. When applying model predictive control (MPC) in these settings, respecting timing constraints is achieved by limiting the number of…

Optimization and Control · Mathematics 2024-12-16 Anusha Srikanthan , Aren Karapetyan , Vijay Kumar , Nikolai Matni

We present a multi-scale computational framework suitable for designing solid lubricant interfaces fully in silico. The approach is based on stochastic thermodynamics founded on the classical thermally activated two-dimensional…

Materials Science · Physics 2022-04-27 Paola C. Torche , Andrea Silva , Denis Kramer , Tomas Polcar , Ondrej Hovorka

We present a coupled atomistic-continuum method for the modeling of defects and interface dynamics of crystalline materials. The method uses atomistic models such as molecular dynamics near defects and interfaces, and continuum models away…

Materials Science · Physics 2009-11-07 Weinan E , Zhongyi Huang

This article presents an identification methodology to capture general relationships, with application to piecewise nonlinear approximations of model predictive control for constrained (non)linear systems. The mathematical formulation…

Optimization and Control · Mathematics 2017-01-06 Van-Vuong Trinh , Mazen Alamir , Patrick Bonnay

In a wide range of practical problems, such as forming operations and impact tests, assuming that one of the contacting bodies is rigid is an excellent approximation to the physical phenomenon. In this work, the well-established dual mortar…

Computational Engineering, Finance, and Science · Computer Science 2022-10-07 R. Pinto Carvalho , A. M. Couto Carneiro , F. M. Andrade Pires , A. Popp