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Anisotropy of friction force is proved to be an important factor in various contact problems. We study dynamical behavior of thin plates with respect to symmetric and asymmetric orthotropic friction. Terminal motion of plates with circular…

Classical Physics · Physics 2018-02-13 O. A. Silantyeva , N. N. Dmitriev

We investigate the electrostatic interactions between two charged anisotropic conductors using a combination of asymptotic and numerical methods. For widely separated particles, we employ the method of reflections to analyze the…

Soft Condensed Matter · Physics 2025-01-13 Harshit Joshi , Anubhab Roy

Viscoelasticity and rate-dependent adhesion of soft matter lead to difficulties in modeling the 'relatively simple' problem of a rigid sphere in contact with a viscoelastic half-space. For this reason, approximations in describing surface…

Soft Condensed Matter · Physics 2021-12-08 Luciano Afferrante , Guido Violano

Exact solutions are derived for the problem of a two-dimensional, infinitely anisotropic, linear-elastic medium containing a periodic lattice of voids. The matrix material possesses either one infinitely soft, or one infinitely hard loading…

Materials Science · Physics 2008-04-17 Francois Willot , Yves-Patrick Pellegrini , Pedro Ponte Castaneda

Deep indentation of soft materials is ubiquitous across scales in nature and engineering, yet accurate predictions of contact behaviors under extreme deformations ($\delta/R > 1$) remain elusive due to geometric and material nonlinearities.…

Soft Condensed Matter · Physics 2026-03-10 Tong Mu , Changhong Linghu , Yanju Liu , Jinsong Leng , Huajian Gao , K. Jimmy Hsia

Solid contacts involving soft materials are important in mechanical engineering or biomechanics. Experimentally, such contacts have been shown to shrink significantly under shear, an effect which is usually explained using adhesion models.…

Soft Condensed Matter · Physics 2020-07-07 J. Lengiewicz , M. de Souza , M. Lahmar , C. Courbon , D. Dalmas , S. Stupkiewicz , J. Scheibert

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

A numerical method is described for studying how elastic waves interact with imperfect contacts such as fractures or glue layers existing between elastic solids. These contacts have been classicaly modeled by interfaces, using a simple…

Classical Physics · Physics 2016-08-16 Bruno Lombard , Joël Piraux

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

A standard motion control with feedback of the output displacement cannot handle unforeseen contact with environment without penetrating into the soft, i.e. viscoelastic, materials or even damaging the fragile materials. Robotics and…

Systems and Control · Electrical Eng. & Systems 2025-04-09 Michael Ruderman

The physical gelation of colloids produces elastic structures that are commonly used to stabilize complex fluids in multiple industries. However, the ability to control the level of elastic modulus of these materials is limited by the…

Soft Condensed Matter · Physics 2021-12-21 Peng-Kai Kao , Michael J. Solomon , Mahesh Ganesan

In this article, we derive a model for a shell that is frictionally coupled to an elastic foundation. We use Kikuchi and Oden's model for Coulomb's law of static friction to derive a displacement-based static-friction law for a shell on an…

Classical Physics · Physics 2023-09-06 Kavinda Jayawardana

We study the mechanical contact between a deformable body with a wavy surface and a rigid flat taking into account pressurized fluid trapped in the interface. A finite element model is formulated for a general problem of trapped fluid for…

Fluid Dynamics · Physics 2021-03-23 Andrei G. Shvarts , Vladislav A. Yastrebov

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

We present a new approach for the mechanically consistent modelling and simulation of fluid-structure interactions with contact. The fundamental idea consists of combining a relaxed contact formulation with the modelling of seepage through…

Numerical Analysis · Mathematics 2022-03-02 Erik Burman , Miguel A. Fernández , Stefan Frei , Fannie M. Gerosa

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

A new computer haptics algorithm to be used in general interactive manipulations of deformable virtual objects is presented. In multimodal interactive simulations, haptic feedback computation often comes from contact forces. Subsequently,…

Graphics · Computer Science 2008-12-18 Christian Duriez , Frédéric Dubois , Abderrahmane Kheddar , Claude Andriot

The classical Hertzian contact model establishes a monotonic correlation between contact force and area. Here, we showed that the interplay between local friction and structural instability can deliberately lead to unconventional contact…

Computational Engineering, Finance, and Science · Computer Science 2024-01-29 Riad Sahli , Jeppe Mikkelsen , Mathias Satherstrom Boye , Marcelo A. Dias , Ramin Aghababaei

Waves impart momentum and exert force on obstacles in their path. The transfer of wave momentum is a fundamental mechanism for contactless manipulation, yet the rules of conventional scattering intrinsically limit the radiation force based…

Applied Physics · Physics 2022-11-03 Matthew Stein , Sam Keller , Yujie Luo , Ognjen Ilic

We investigate a quasi-static-antiplane contact problem, examining a thermo-electro-visco-elastic material with a friction law dependent on the slip rate, assuming that the foundation is electrically conductive. The mechanical problem is…

Analysis of PDEs · Mathematics 2024-02-06 Besma Fadlia , Mohamed Dalah , Delfim F. M. Torres