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This paper presents tractable reformulations of topology optimization problems of structures subject to frictionless unilateral contact conditions. Specifically, we consider stiffness maximization problems of trusses and continua. Based on…

Optimization and Control · Mathematics 2020-11-17 Yoshihiro Kanno

Soft materials, such as colloidal suspensions, polymer solutions, and biological systems, are typically multicomponent mixtures of macromolecules and simpler components (e.g., microions, monomers, solvent) that can assemble into complex…

Soft Condensed Matter · Physics 2015-05-13 Alan R. Denton

We extend the statistical field-theoretical framework of rough surface contact mechanics to characterize the interfacial gap between an elastic half-space and a randomly rough surface incorporating exponential repulsion. Building upon a…

Soft Condensed Matter · Physics 2026-03-10 Yunong Zhou , Hengxu Song , Zhichao Zhang , Yang Xu

We introduce a new model to study the effect of surface roughness on the jamming transition. By performing numerical simulations, we show that for a smooth surface, the jamming transition density and the contact number at the transition…

Soft Condensed Matter · Physics 2020-05-27 Harukuni Ikeda , Carolina Brito , Matthieu Wyart , Francesco Zamponi

Frictional properties of contacts between a smooth viscoelastic rubber and rigid surfaces are investigated using a torsional contact configuration where a glass lens is continuously rotated on the rubber surface. From the inversion of the…

Soft Condensed Matter · Physics 2017-02-01 M. Trejo , C. Frétigny , A. Chateauminois

We present a novel convex formulation that models rigid and deformable bodies coupled through frictional contact. The formulation incorporates a new corotational material model with positive semi-definite Hessian, which allows us to extend…

Computational Engineering, Finance, and Science · Computer Science 2023-03-17 Xuchen Han , Joseph Masterjohn , Alejandro Castro

Wet granular materials in a quasi-static steady state shear flow have been studied with discrete particle simulations. Macroscopic quantities, consistent with the conservation laws of continuum theory, are obtained by time averaging and…

Soft Condensed Matter · Physics 2015-06-23 Sudeshna Roy , Abhinendra Singh , Stefan Luding , Thomas Weinhart

Some remarkable generic properties, related to isostaticity and potential energy minimization, of equilibrium configurations of assemblies of rigid, frictionless grains are studied. Isostaticity -the uniqueness of the forces, once the list…

Soft Condensed Matter · Physics 2009-10-31 Jean-Noel Roux

Frictional sliding contact in hydrodynamic environments can be found in a range of engineering applications. Accurate modeling requires an integrated numerical framework capable of resolving large relative motions, multiphase interactions,…

Computational Physics · Physics 2025-10-01 Biswajeet Rath , Rajeev K. Jaiman

Adhesion hysteresis can be caused by elastic instabilities that are triggered by surface roughness or chemical heterogeneity. However, the role of these instabilities in adhesion hysteresis remains poorly understood because we lack…

Soft Condensed Matter · Physics 2022-02-09 Antoine Sanner , Lars Pastewka

In this paper, we develop a principled method to model line and surface contact with point contact (we call this point, equivalent contact point) that is consistent with physics-based models of surface (line) contact. Assuming that the set…

Robotics · Computer Science 2020-10-09 Jiayin Xie , Nilanjan Chakraborty

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

Frictional contact has been extensively studied as the core underlying behavior of legged locomotion and manipulation, and its nearly-discontinuous nature makes planning and control difficult even when an accurate model of the robot is…

Robotics · Computer Science 2021-03-30 Mihir Parmar , Mathew Halm , Michael Posa

Highly concentrated or 'dense" particle suspensions can undergo a sharp increase in viscosity, or shear thickening, under applies stress. Understanding the fundamental features leading to such rheological changes in dense suspensions is…

Methods for finding the optimal choices of the applied remote loads -- the applied normal force, moment, shear force and remote bulk stresses -- needed to solve frictional contact problems in partial-slip using half-plane theory are derived…

Classical Physics · Physics 2021-03-30 Hendrik Andresen , David A. Hills , Matthew R. Moore

The conventional no-slip boundary condition leads to a non-integrable stress singularity at a moving contact line. This makes numerical simulations challenging, especially when capillary effects are essential for the dynamics of the flow.…

Fluid Dynamics · Physics 2017-09-18 Hanna Holmgren , Gunilla Kreiss

An original MEMS-based force sensing device is designed which allows to measure spatially resolved normal and tangential stress fields at the base of an elastomeric film. This device is used for the study of the contact stress between a…

Soft Condensed Matter · Physics 2007-11-08 J. Scheibert , A. Prevost , J. Frelat , P. Rey , G. Debrégeas

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

The current work employed absolutely smooth surface and lattice structure surface to distinguish the relationship between intrinsic wettability of different combinations of liquid and solid particles and the microscopic interparticle…

Soft Condensed Matter · Physics 2020-11-10 Haohao Gu , Hao Wang

The real area of contact of a frictional interface changes rapidly when the normal load is altered, and evolves slowly when normal load is held constant, aging over time. Traditionally, the total area of contact is considered a proxy for…

Soft Condensed Matter · Physics 2020-03-12 Tom Pilvelait , Sam Dillavou , Shmuel M. Rubinstein