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Related papers: Midplane based 3D single pass unbiased segment-to-…

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A highly accurate, single-pass, unbiased frictional contact algorithm for higher-order elements based on the concept of midplane is presented. Higher-order elements offer a lucrative choice for contact problems as they can better represent…

Computational Physics · Physics 2025-06-30 Indrajeet Sahu , Nik Petrinic

We present a barrier method for treating frictional contact on interfaces embedded in finite elements. The barrier treatment has several attractive features, including: (i) it does not introduce any additional degrees of freedom or…

Numerical Analysis · Mathematics 2022-06-17 Yidong Zhao , Jinhyun Choo , Yupeng Jiang , Minchen Li , Chenfanfu Jiang , Kenichi Soga

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

A new variational formulation is herein proposed for the solution of adhesive contact problems for non-planar profiles of arbitrary shape indenting a deformable half-plane. The method exploits the original idea of accounting for the shape…

Soft Condensed Matter · Physics 2018-05-21 Marco Paggi , José Reinoso

We present a newly developed approach for the calculation of interfacial stiffness and contact area evolution between two rough bodies exhibiting self affine surface structures. Using spline assisted discretization to define localised…

Soft Condensed Matter · Physics 2021-06-04 Dorian Hanaor , Yixiang Gan , Itai Einav

The computational modeling of many engineering problems using the Finite Element method involves the modeling of two or more bodies that meet through an interface. The interface can be physical, as in multi-physics and contact problems, or…

Numerical Analysis · Computer Science 2009-09-30 G. Haikal

When the effects of relative motion at the solid object interfaces are not negligible, the contact method is required in the smoothed particle hydrodynamics (SPH) method to prevent virtual shear and tensile stresses. However, there is still…

Fluid Dynamics · Physics 2024-09-06 Wenbin Liu , Zhuoping Duan , Yan Liu , Fenglei Huang

We introduce a corrective function to compensate errors in contact area computations coming from mesh discretization. The correction is based on geometrical arguments and requires only one additional quantity to be computed: the length of…

Soft Condensed Matter · Physics 2017-04-24 Vladislav A. Yastrebov , Guillaume Anciaux , Jean-Francois Molinari

The objective of this work is the development of a novel finite element formulation describing the contact interaction of slender beams in complex 3D configurations involving arbitrary beam-to-beam orientations. It is shown in a…

Computational Engineering, Finance, and Science · Computer Science 2018-05-28 Christoph Meier , Alexander Popp , Wolfgang A. Wall

We outline a phenomenological model to assess friction at the interface between two bodies in mutual contact. Although the approach is general, the application inspiring the approach is the Discrete Element Method. The kinematics of the…

Computational Engineering, Finance, and Science · Computer Science 2020-07-28 Luning Fang , Dan Negrut

A novel Material Point Method (MPM) is introduced for addressing frictional contact problems. In contrast to the standard multi-velocity field approach, this method employs a penalty method to evaluate contact forces at the discretised…

Numerical Analysis · Mathematics 2024-03-21 Emmanouil G. Kakouris , Manolis N. Chatzis , Savvas P. Triantafyllou

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

Contact algorithm between different bodies plays an important role in solving collision problems. Usually it is not easy to be treated very well. Several ones for material point method were proposed by Bardenhangen, Brackbill, and…

Computational Physics · Physics 2015-05-13 Xiaofei Pan , Aiguo Xu , Guangcai Zhang , Jianshi Zhu , Shang Ma , Xiong Zhang

Modeling contact mechanics with high contrast coefficients presents significant mathematical and computational challenges, especially in achieving strongly symmetric stress approximations for mixed formulations. Due to the inherent…

Numerical Analysis · Mathematics 2026-02-17 Eric T. Chung , Hyea Hyun Kim , Xiang Zhong

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…

Penalty methods have proven to be particularly effective for achieving the required $C^1$-continuity in the context of multi-patch isogeometric Kirchhoff-Love shells. Due to their conceptual simplicity, these algorithms are readily…

Numerical Analysis · Mathematics 2021-10-13 Luca Coradello , Josef Kiendl , Annalisa Buffa

In this paper, we propose a novel unfitted finite element method for the simulation of multiple body contact. The computational mesh is generated independently of the geometry of the interacting solids, which can be arbitrarily complex. The…

Numerical Analysis · Computer Science 2017-04-10 Susanne Claus , Pierre Kerfriden

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

Contact involving soft materials often combines dry adhesion, sliding friction, and large deformations. At the local level, these three aspects are rarely captured simultaneously, but included in the theoretical models by Mergel et al.…

Computational Engineering, Finance, and Science · Computer Science 2020-12-03 Janine C. Mergel , Julien Scheibert , Roger A. Sauer

This paper presents an analytical model of punctual elastic contact between a rigid body of arbitrary geometry and a plane surface. A simple analytical model is developed in order to evaluate the contact force knowing the volume of…

Classical Physics · Physics 2008-02-05 Abdelaziz Sameur , Honoré Yin , Denis Duhamel , Vladimir Vilke
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