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相关论文: Adhesive Contact to a Coated Elastic Substrate

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As a fundamental force, friction exerts a profound influence on various aspects of our daily lives across multiple disciplines. To understand why adhesive friction is associated with the contact area, here we investigate the generic sliding…

软凝聚态物质 · 物理学 2025-10-29 Puyu Cao , Meicheng Yao , Bin Chen

In the authors' previous works, novel finite element formulations for the contact interaction of slender beams have been proposed. In their recent article "Consistent Development of a Beam-To-Beam Contact Algorithm via the Curve to Solid…

计算工程、金融与科学 · 计算机科学 2018-10-26 Christoph Meier , Alexander Popp , Wolfgang A. Wall

In the framework of the recently developed asymptotic models for tibio-femoral contact incorporating frictionless elliptical contact interaction between thin elastic, viscoelastic, or biphasic cartilage layers, we apply an asymptotic…

偏微分方程分析 · 数学 2012-05-08 Ivan Argatov

Friction in static and sliding contact of rough surfaces is important in numerous physical phenomena. We seek to understand macroscopically observed static and sliding contact behavior as the collective response of a large number of…

软凝聚态物质 · 物理学 2018-11-12 Srivatsan Hulikal , Nadia Lapusta , Kaushik Bhattacharya

In this paper we address the analytical investigation of a model for adhesive contact, which includes nonlocal sources of damage on the contact surface, such as the elongation. The resulting PDE system features various nonlinearities…

偏微分方程分析 · 数学 2017-04-04 Elena Bonetti , Giovanna Bonfanti , Riccarda Rossi

This paper is devoted to the study of a hemivariational inequality modeling the quasistatic bilateral frictional contact between a viscoelastic body and a rigid foundation. The damage effect is built into the model through a parabolic…

数值分析 · 数学 2019-12-18 Weimin Han , Michal Jureczka , Anna Ochal

The surface tension of compliant materials such as gels provides resistance to deformation in addition to and sometimes surpassing that due to elasticity. This article studies how surface tension changes the contact mechanics of a small…

软凝聚态物质 · 物理学 2015-02-19 Chung-Yuen Hui , Tianshu Liu , Thomas Salez , Elie Raphael , Anand Jagota

The paper presents two-scale numerical algorithms for stress-strain analysis of porous media featured by self-contact at pore level. The porosity is constituted as a periodic lattice generated by a representative cell consisting of elastic…

偏微分方程分析 · 数学 2023-01-18 Eduard Rohan , Jan Heczko

Contact between an elastic manifold and a rigid substrate with a self-affine fractal surface is reinvestigated with Green's function molecular dynamics. Stress and contact autocorrelation functions (ACFs) are found to decrease…

其他凝聚态物理 · 物理学 2009-11-13 Carlos Campana , Martin H. Muser , Mark O. Robbins

This review provides an introduction to the essential physics of soft adhesion, including the thermodynamics of adhesion and wetting, the mechanics of contact with deformable materials, and the material properties that most affect…

软凝聚态物质 · 物理学 2026-03-23 Katharine E. Jensen , Chelsea S. Davis

Modeling of frictional contacts is crucial for investigating mechanical performances of composite materials under varying service environments. The paper considers a linear elasticity system with strongly heterogeneous coefficients and…

偏微分方程分析 · 数学 2023-07-21 Changqing Ye , Eric T. Chung , Junzhi Cui

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…

软凝聚态物质 · 物理学 2018-10-11 M. Ciavarella , J. Joe , A. Papangelo , JR Barber

Since Hertz's pioneering work in 1882, contact mechanics traditionally grounds on linear elasticity, assuming small strains and displacements. However, recent experiments clearly highlighted linear elasticity limitations in accurately…

软凝聚态物质 · 物理学 2025-03-13 M. Ceglie , G. Violano , L. Afferrante , N. Menga

Surface stresses have recently emerged as a key player in the mechanics of highly compliant solids. The classic theories of contact mechanics describe adhesion with a compliant substrate as a competition between surface energies driving…

软凝聚态物质 · 物理学 2017-11-15 Katharine E. Jensen , Robert W. Style , Qin Xu , Eric R. Dufresne

We consider an anisotropic version of Baxter's model of `sticky hard spheres', where a nonuniform adhesion is implemented by adding, to an isotropic surface attraction, an appropriate `dipolar sticky' correction (positive or negative,…

软凝聚态物质 · 物理学 2009-11-13 Domenico Gazzillo , Riccardo Fantoni , Achille Giacometti

The deformation problem for a transversely isotropic elastic layer bonded to a rigid substrate and coated with a very thin elastic layer made of another transversely isotropic material is considered. The leading-order asymptotic models (for…

偏微分方程分析 · 数学 2015-04-28 Ivan Argatov , Gennady Mishuris

In this paper, we consider a contact problem with adhesion between a viscoelastic body and a rigid support, taking thermal effects into account. The PDE system we deal with is derived within the modelling approach proposed by M. Fremond…

偏微分方程分析 · 数学 2015-05-14 Elena Bonetti , Giovanna Bonfanti , Riccarda Rossi

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…

计算工程、金融与科学 · 计算机科学 2018-05-28 Christoph Meier , Alexander Popp , Wolfgang A. Wall

The classical problem of indentation on an elastic substrate has found new applications in the field of the Atomic Force Microscopy. However, linearly elastic indentation models are not sufficiently accurate to predict the…

软凝聚态物质 · 物理学 2022-12-14 Yangkun Du , Peter Stewart , Nicholas A Hill , Huabing Yin , Raimondo Penta , Jakub Kory , Xiaoyu Luo , Raymond Ogden

In the context of elasticity theory, rigidity theorems allow to derive global properties of a deformation from local ones. This paper presents a new asymptotic version of rigidity, applicable to elastic bodies with sufficiently stiff…

偏微分方程分析 · 数学 2019-09-04 Fabian Christowiak , Carolin Kreisbeck