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Finite element methods are used to study non-adhesive, frictionless contact between elastic solids with self-affine surfaces. We find that the total contact area rises linearly with load at small loads. The mean pressure in the contact…

Materials Science · Physics 2009-11-10 S. Hyun , L. Pei , J. -F. Molinari , M. O. Robbins

We consider an adhesive contact between a thin soft layer on a rigid substrate and a rigid cylindrical indenter ("line contact") with account of the surface tension of the layer. First, it is shown that the boundary condition for the…

Soft Condensed Matter · Physics 2020-02-06 Valentin L. Popov

This paper advances an analytical incremental contact model for the purely elastic or elastic-perfectly plastic Gaussian rough surfaces. The contact is modelled by the accumulation of identical circular contacts with radius given by the…

Materials Science · Physics 2022-04-06 Sihe Wang , Weike Yuan , Xuanming Liang , Gangfeng Wang

We consider the steady-state analysis of a pinned elastic plate lying on the free surface of a thin viscous fluid, forced by the motion of a bottom substrate moving at constant speed. A mathematical model incorporating elasticity,…

Fluid Dynamics · Physics 2025-05-20 Philippe H. Trinh , Stephen K. Wilson , Howard A. Stone

This paper consists of two parts. In the first part we prove the unique solvability for the abstract variational-hemivariational inequality with history-dependent operator. The proof is based on the existing result for the static…

Analysis of PDEs · Mathematics 2016-08-17 Justyna Ogorzaly

We propose an approach to describe the propagation of a crack (or boundary of an adhesive contact) in a viscoelastic material which is only based on the consideration of the rheology of the material without the introduction of any…

Soft Condensed Matter · Physics 2018-05-21 Emanuel Willert , Valentin L. Popov

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

We have recently proposed an efficient computation method for the frictionless linear elastic axisymmetric contact of coated bodies [A. Perriot and E. Barthel, J. Mat. Res. 19 (2004) 600]. Here we give a brief description of the approach.…

Materials Science · Physics 2009-11-11 Etienne Barthel , Antoine Perriot , Antoine Chateauminois , Christian Frétigny

A computational approach that is based on interface finite elements with eMbedded Profiles for Joint Roughness (MPJR) is exploited in order to study the viscoelastic contact problems with any complex shape of the indenting profiles. The…

Soft Condensed Matter · Physics 2025-04-03 Jacopo Bonari , Marco Paggi

In this paper, we examine the dynamic behavior of a viscoelastic string oscillating above a rigid obstacle in a one-dimensional setting, accounting for inelastic contact between the string and the obstacle. We construct a global-in-time…

Analysis of PDEs · Mathematics 2025-05-16 Boris Muha , Srđan Trifunović

An indentation experiment involves five variables: indenter shape, material behavior of the substrate, contact size, applied load and indentation depth. Only three variable are known afterwards, namely, indenter shape, plus load and depth…

Materials Science · Physics 2016-06-09 P. G. Th. van der Varst , A. A. F. van de Ven , G. de With

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

This work introduces a contact interaction methodology for an unbiased treatment of contacting surfaces without assigning surfaces as master and slave. The contact tractions between interacting discrete segments are evaluated with respect…

Graphics · Computer Science 2025-06-06 Indrajeet Sahu , Nik Petrinic

A general model covering a large variety of the so-called adhesive or cohesive, possibly also frictional, contact interfaces between visco-elastic bodies with inertia considered in a thermodynamical context is presented. A semi-implicit…

Analysis of PDEs · Mathematics 2019-06-11 Tomáš Roubíček

The problem of a general, symmetric contact, between elastically similar bodies, and capable of idealisation using half-plane theory, is studied in the presence of interfacial friction. It is subject to a constant set of loads - normal…

Soft Condensed Matter · Physics 2019-04-01 Hendrik Andresen , David A. Hills , James R. Barber , Jesus Vazquez

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

Surface tension is a prominent factor for the deformation of solids at micro-/nano-scale. This paper investigates the effects of surface tension on the two-dimensional contact problems of an elastic layer bonded to the rigid substrate.…

Soft Condensed Matter · Physics 2018-10-29 Weike Yuan , Gangfeng Wang

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

Recently proposed formulation of the Boundary Element Method for adhesive contacts has been generalized for contacts of functionally graded materials with and without adhesion. First, proceeding from the fundamental solution for single…

Soft Condensed Matter · Physics 2016-12-28 Qiang Li , Valentin L. Popov

Measuring the mechanical properties of cells and tissues often involves indentation with a sphere, or compression between two plates. Previously, different theoretical approaches have been developed to retrieve material parameters (e.g.…

Biological Physics · Physics 2022-02-15 Etienne Couturier , Dominic Vella , Arezki Boudaoud