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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…

We report on the transient frictional response of contacts between a rigid spherical glass probe and a micrometer-thick poly(dimethylacrylamide) hydrogel film grafted onto a glass substrate when a lateral relative motion is applied to the…

Soft Condensed Matter · Physics 2020-07-01 Lola Ciapa , Jessica Delavoipi\ère , Yvette Tran , Emilie Verneuil , Antoine Chateauminois

General robot manipulation requires the handling of previously unseen objects. Learning a physically accurate model at test time can provide significant benefits in data efficiency, predictability, and reuse between tasks. Tactile sensing…

Robotics · Computer Science 2026-02-26 Ethan K. Gordon , Bruke Baraki , Hien Bui , Michael Posa

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…

The state-of-the-art in paper mechanics calls for novel experimental data covering the full-field hygro-expansion of inter-fiber bonds in paper, i.e., the 3D morphological changes and inter-fiber interactions. Therefore, a recently…

Soft Condensed Matter · Physics 2023-04-21 N. H. Vonk , R. H. J. Peerlings , M. G. D. Geers , J. P. M. Hoefnagels

It is well known that the classical energetically consistent micropolar model has limits in simulating the frequency band structure of packed granular materials (see Merkel et al., 2011). It is here shown that if a standard continualization…

Soft Condensed Matter · Physics 2021-04-27 Andrea Bacigalupo , Luigi Gambarotta

This work proposes a novel model and numerical formulation for lubricated contact problems describing the mutual interaction between two deformable 3D solid bodies and an interposed fluid film. The solid bodies are consistently described…

Computational Engineering, Finance, and Science · Computer Science 2022-01-05 Mostafa Faraji , Alexander Seitz , Christoph Meier , Wolfgang A. Wall

Integrated photoelasticity is investigated for a soft material subjected to a three-dimensional stress state. In the experiment, a solid sphere is pressed against a gelatin gel (Young's modulus is about 4.2 kPa) that deforms up to 4.5 mm…

A linear connection on a Lie algebroid is called a Cartan connection if it is suitably compatible with the Lie algebroid structure. Here we show that a smooth connected manifold $M$ is locally homogeneous - i.e., admits an atlas of charts…

Differential Geometry · Mathematics 2013-11-27 Anthony D. Blaom

We describe geometrically contact Lagrangian systems under impulsive forces and constraints, as well as instantaneous nonholonomic constraints which are not uniform along the configuration space. In both situations, the vector field…

Mathematical Physics · Physics 2023-01-24 Leonardo J. Colombo , Manuel de León , Asier López-Gordón

We explore the magnetic properties of a two-dimensional Hubbard model on an inhomogeneous square lattice, which provides a platform for tuning the bandwidth of the flat band. In its limit, this inhomogeneous square lattice turns into a Lieb…

Strongly Correlated Electrons · Physics 2023-06-16 Xiao Zhang , Runyu Ma , Zenghui Fan , Zixuan Jia , Lufeng Zhang , Tianxing Ma

We study the asymptotic behavior of thin heterogeneous elastoplastic plates in the framework of linearized elastoplasticity, focusing on the regime where the plate thickness vanishes much faster than the characteristic scale of the…

Analysis of PDEs · Mathematics 2026-05-14 Marin Bužančić , Igor Velčić , Josip Žubrinić

The mechanical response of cellular materials with spinodal topologies is numerically and experimentally investigated. Spinodal microstructures are generated by the numerical solution of the Cahn-Hilliard equation. Two different topologies…

Materials Science · Physics 2019-04-16 Meng-Ting Hsieh , Bianca Endo , Yunfei Zhang , Jens Bauer , Lorenzo Valdevit

Recent years have seen growing application potential for Lattice-skin Plate Structures in advanced manufacturing fields such as aerospace and automotive engineering. For multiscale performance evaluation of such structures, conventional…

Computational Engineering, Finance, and Science · Computer Science 2026-05-04 Zhongkai Ji , Dawei Li , Yong Zhao , Wenhe Liao

It is shown that second-order homogenization of a Cauchy-elastic dilute suspension of randomly distributed inclusions yields an equivalent second gradient (Mindlin) elastic material. This result is valid for both plane and three-dimensional…

Mathematical Physics · Physics 2014-01-03 Bacca Mattia , Bigoni Davide , Dal Corso Francesco , Veber Daniele

We present the first triangle mesh-based technique for tracking the evolution of general three-dimensional multimaterial interfaces undergoing complex topology changes induced by deformations and collisions. Our core representation is a…

Graphics · Computer Science 2014-01-22 Fang Da , Christopher Batty , Eitan Grinspun

Microgels are soft colloidal particles constituted by cross-linked polymer networks with a high potential for applications. In particular, after adsorption at a fluid interface, interfacial tension provides two-dimensional (2D) confinement…

Soft Condensed Matter · Physics 2021-09-03 Jacopo Vialetto , Natalie Nussbaum , Jotam Bergfreund , Peter Fischer , Lucio Isa

In the present paper, the material parameters of the isotropic relaxed micromorphic model derived for a specific metamaterial in a previous contribution are used to model its transmission properties. Specifically, the reflection and…

The dynamical properties of an oscillating tip-cantilever system are now widely used in the field of scanning force microscopy. The aim of the present work is to get analytical expressions describing the nonlinear dynamical properties of…

Atomic and Molecular Clusters · Physics 2016-08-16 Laurent Nony , Rodolphe Boisgard , Jean-Pierre Aimé

This work presents a predictive two-point statistical closure framework for turbulence formulated in physical space. A closure model for ensemble-averaged, incompressible homogeneous isotropic turbulence (HIT) is developed as a starting…

Fluid Dynamics · Physics 2026-04-29 Noah Zambrano , Karthik Duraisamy