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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

A quasistatic unilateral frictionless contact problem for a rigid axisymmetric indenter pressed into a homogeneous, linearly elastic and transversely isotropic elastic layer bonded to a homogeneous, linearly elastic and transversely…

Analysis of PDEs · Mathematics 2012-07-09 I. I. Argatov , F. J. Sabina

Small scale contact between a soft, liquid-coated layer and a stiff surface is common in many situations, from synovial fluid on articular cartilage to adhesives in humid environments. Moreover, many model studies on soft adhesive contacts…

Soft Condensed Matter · Physics 2020-10-01 Justin D. Glover , Jonathan T. Pham

For cylindrical indentation of elastic half-space the relationship between the depth of indentation delta and the applied force F is nonlinear, in contrast to the linear relationship between the height of the contact zone delta_0 and the…

Applied Physics · Physics 2023-09-06 Vlado A. Lubarda , Marko V. Lubarda

Experimentally measuring the elastic properties of thin biological surfaces is non-trivial, particularly when they are curved. One technique that may be used is the indentation of a thin sheet of material by a rigid indenter, whilst…

Using molecular-dynamics simulation and finite-element modelling, we simulate nanoindentation into the three principal surfaces -- the (100), (110) and (111) surface -- of Cu and Al. In the elastic regime, the simulation data agree fairly…

Materials Science · Physics 2008-12-10 Gerolf Ziegenhain , Herbert M. Urbassek , Alexander Hartmaier

The effect of substrate was studied using nanoindentation on thin films. Soft films on hard substrate showed more pile up than usual which was attributed to the dislocation pile up at the film substrate interface. The effect of tip blunting…

In this paper, we present the first well-posedness result for elastic scattering by locally rough interfaces in both two and three dimensions. Inspired by the Helmholtz decomposition, we discover a fundamental identity for the stress…

Analysis of PDEs · Mathematics 2026-01-21 Chengyu Wu , Yushan Xue , Jiaqing Yang

We report on an experimental investigation of the interplay between friction, contact geometry and finite strains for smooth frictional contacts between rigid spherical glass probes and flat silicone substrates. Using both bulk and layered…

Soft Condensed Matter · Physics 2025-09-26 Marco Ceglie , Cosimo Mandriota , Giuseppe Carbone , Nicola Menga , Antoine Chateauminois

A fluid constituted of hard spherocylinders is studied using a density functional theory for non-spherical hard particles, which can be written as a function of weighted densities. This is based on an extended deconvolution of the Mayer…

Soft Condensed Matter · Physics 2015-06-18 René Wittmann , Klaus Mecke

Indentation is a common experimental technique to study the mechanics of polymeric materials. The main advantage of using indentation is because this provides a direct correlation between the microstructure and the small-scale mechanical…

Soft Condensed Matter · Physics 2022-07-20 Manoj Kumar Maurya , Céline Ruscher , Debashish Mukherji , Manjesh Kumar Singh

Contact force--indentation depth measurements in contact experiments involving compliant materials, such as polymers and gels, show a hysteresis loop whose size depends on the maximum indentation depth. This depth-dependent hysteresis (DDH)…

Soft Condensed Matter · Physics 2018-03-26 Weilin Deng , Haneesh Kesari

Recent experiments have shown that surface stresses in soft materials can have a significant strain-dependence. Here we explore the implications of this surface elasticity to show how, and when, we expect it to arise. We develop the…

Soft Condensed Matter · Physics 2020-05-28 Robert W. Style , Qin Xu

A method is presented for the registration and correlation of intrinsic property maps of materials, including data from nanoindentation hardness, Electron Back-Scattered Diffraction (EBSD), Electron Micro-Probe Analysis (EPMA). This highly…

Materials Science · Physics 2021-01-05 C. M. Magazzeni , H. M. Gardner , I. Howe , P. Gopon , J. C. Waite , D. Rugg , D. E. J. Armstrong , A. J. Wilkinson

In this study, we propose a theory of rough adhesive contact of viscoelastic materials in steady-state sliding. By exploiting a boundary formulation based on Green function approach, the unknown contact domain is calculated by enforcing the…

Soft Condensed Matter · Physics 2024-01-31 C. Mandriota , N. Menga , G. Carbone

The yield surface in crystal plasticity can be approached from various directions during mechanical loading. We consider the competition between nanoindentation and tensile loading towards plastic yielding. For this purpose, we develop a…

Materials Science · Physics 2017-07-14 Hengxu Song , Hakan Yavas , Erik Van der Giessen , Stefanos Papanikolaou

Nanoindentation is an effective way of finding mechanical properties at nanoscale. They are especially useful for thin films where elimination of the substrate effect is required. The mechanism is based upon depth sensing indentation based…

Materials Science · Physics 2016-07-25 A. S. Bhattacharyya

The description of elastic, nonadhesive contacts between solids with self-affine surface roughness seems to necessitate knowledge of a large number of parameters. However, few parameters suffice to determine many important interfacial…

Soft Condensed Matter · Physics 2013-12-09 Nikolay Prodanov , Wolf B. Dapp , Martin H. Müser

Here we develop an original approach to investigate the grand canonical partition function of the multicomponent mixtures of Boltzmann particles with hard-core interaction in finite and even small systems of the volumes above 20 fm$^3$. The…

A Born-Green-Yvon type model for adatom density correlations is combined with a model for adatom interactions mediated by the strain in elastic anisotropic substrates. The resulting nonlinear integral equation is solved numerically for…

Materials Science · Physics 2015-06-04 Wolfgang Kappus