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This paper reformulates complementarity-based time-stepping for frictionless nonsmooth contact between smooth rigid bodies as a recursively generated linear complementarity problem (ReLCP), involving a sequence of LCPs of increasing…

Robotics · Computer Science 2026-05-13 Bryce Palmer , Hasan Metin Aktulga , Tong Gao

We report on normal contact and friction measurements of model multicontact interfaces formed between smooth surfaces and substrates textured with a statistical distribution of spherical micro-asperities. Contacts are either formed between…

Soft Condensed Matter · Physics 2017-01-06 S. Yashima , V. Romero , E. Wandersman , C. Frétigny , M. K. Chaudhury , A. Chateauminois , A. M. Prevost

Normal contact behaviour between non adhesive fractal rough particles is studied using a finite element method (FEM). A series of spherical grain surfaces with distinguished roughness features are generated by means of Spherical Harmonics.…

Materials Science · Physics 2022-07-14 Deheng Wei , Chongpu Zhai , Dorian A. H. Hanaor , Yixiang Gan

Networks of flexible filaments often involve regions of tight contact. Predictively understanding the equilibrium configurations of these systems is challenging due to intricate couplings between topology, geometry, large nonlinear…

Accurate frictional contact is critical in simulating the assembly of rod-like structures in the practical world, such as knots, hairs, flagella, and more. Due to their high geometric nonlinearity and elasticity, rod-on-rod contact remains…

Graphics · Computer Science 2024-02-21 Dezhong Tong , Andrew Choi , Jungseock Joo , M. Khalid Jawed

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

The design of contact interfaces that meet quantitatively a specified friction law (friction force vs normal force) is challenging due to the multi-scale and multi-physics nature of contact interactions. Recently, a concept was proposed to…

The friction force observed at macroscale is the result of interactions at various lower length scales that are difficult to model in a combined manner. For this reason, simplified approaches are required, depending on the specific aspect…

Materials Science · Physics 2018-01-12 Gianluca Costagliola , Federico Bosia , Nicola M. Pugno

Understanding contact between rough surfaces undergoing plastic deformation is crucial in many applications. We test Persson's multiscale contact mechanics theory for elastoplastic solids, assuming a constant penetration hardness. Using a…

Soft Condensed Matter · Physics 2026-01-07 Andreas Almqvist , Bo N. J. Persson

We propose a model for nonlinearly elastic membranes undergoing finite deformations while confined to a regular frictionless surface in $\mathbb{R}^3$. This is a physically correct model of the analogy sometimes given to motivate harmonic…

Analysis of PDEs · Mathematics 2024-06-03 Timothy J. Healey , Gokul G. Nair

Adhesive [e.g. van der Waals] forces were not generally taken into account in contact mechanics until 1971, when Johnson, Kendall and Roberts (JKR) generalized Hertz' solution for an elastic sphere using an energetic argument which we now…

Soft Condensed Matter · Physics 2018-10-11 M. Ciavarella , J. Joe , A. Papangelo , JR Barber

While tactile sensor technology has made great strides over the past decades, applications in robotic manipulation are limited by aspects such as blind spots, difficult integration into hands, and low spatial resolution. We present a method…

Robotics · Computer Science 2018-02-27 Pedro Piacenza , Sydney Sherman , Matei Ciocarlie

This paper represents a sequel to the previous one, where numerical solution of a quasistatic contact problem is considered for an elastic body in frictional contact with a moving foundation. The model takes into account wear of the contact…

Numerical Analysis · Mathematics 2019-05-15 Danfu Han , Weimin Han , Michal Jureczka , Anna Ochal

Finite element methods for electromagnetic problems modeled by Maxwell-type equations are highly sensitive to the conformity of approximation spaces, and non-conforming methods may cause loss of convergence. This fact leads to an essential…

Numerical Analysis · Mathematics 2023-04-05 Shuhao Cao , Long Chen , Ruchi Guo

We propose a model for unilateral contact with adhesion between a viscoelastic body and a rigid support, encompassing thermal and frictional effects. Following the approach by M. Fremond, adhesion is described in terms of a surface damage…

Analysis of PDEs · Mathematics 2012-07-23 Elena Bonetti , Giovanna Bonfanti , Riccarda Rossi

A mechanically-based structural optimization method is utilized to explore the phenomena of jamming for assemblies of frictionless Platonic solids. Systems of these regular convex polyhedra exhibit mechanically stable phases with density…

Soft Condensed Matter · Physics 2012-05-08 Kyle C. Smith , Meheboob Alam , Timothy S. Fisher

An adhesive unilateral contact of elastic bodies with a small viscosity in the linear Kelvin-Voigt rheology at small strains is scrutinized. The flow-rule for debonding the adhesive is considered rate-independent and unidirectional, and…

Numerical Analysis · Mathematics 2013-03-08 Tomas Roubicek , Christos G. Panagiotopoulos , Vladislav Mantic

Approximate eigenpairs (quasimodes) of axisymmetric thin elastic domains with laterally clamped boundary conditions (Lam{\'e} system) are determined by an asymptotic analysis as the thickness ($2\varepsilon$) tends to zero. The departing…

Numerical Analysis · Mathematics 2017-11-23 Marie Chaussade-Beaudouin , Monique Dauge , Erwan Faou , Zohar Yosibash

The effectiveness of dimensionality reduction with quadratic manifolds hinges on the choice of a reduced basis and the associated quadratic correction terms. Existing approaches typically rely on subspaces spanned by the leading principal…

Numerical Analysis · Mathematics 2026-05-27 Gavin Paxton , Seunghee Cheon , Rudy Geelen , Shane A. McQuarrie

We have employed a numerical procedure to analyze the adhesive contact between a soft elastic layer and a rough rigid substrate. The solution of the problem is obtained by calculating the Green's function which links the pressure…

Computational Physics · Physics 2010-06-04 Giuseppe Carbone , Michele Scaraggi , Ugo Tartaglino