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Precipitation of fine particles into the base material of a metal is a potent strengthening mechanism. This is numerically analyzed within a continuum framework based on a higher order strain gradient plasticity theory and by use of an…

Materials Science · Physics 2021-06-17 Mohammadali Asgharzadeh , Jonas Faleskog

This paper puts forth a new formulation and algorithm for the elastic matching problem on unparametrized curves and surfaces. Our approach combines the frameworks of square root normal fields and varifold fidelity metrics into a novel…

Differential Geometry · Mathematics 2019-03-05 Martin Bauer , Nicolas Charon , Philipp Harms

The systematic errors due to the practical implementation of the Contact Dynamics method for simulation of dense granular media are examined. It is shown that, using the usual iterative solver to simulate a chain of rigid particles,…

Soft Condensed Matter · Physics 2009-11-07 Tamas Unger , Lothar Brendel , Dietrich E. Wolf , Janos Kertesz

The elastic properties of a material with spherical voids of equal volume are analysed using a new model, with particular attention paid to the hexagonal close-packed and the face-centred cubic arrangement of voids. Void fractions well…

Materials Science · Physics 2016-11-11 Sascha Heitkam , Wiebke Drenckhan , Denis Weaire , Jochen Froehlich

In the manufacturing process of a filler-reinforced composite, the fillers in the matrix are aligned due to the shear flow occurring during the drawing stage, and the interface between the matrix and the fillers form various imperfections…

Materials Science · Physics 2018-05-15 Sangryun Lee , Seunghwa Ryu

An extended elastic eigenvector approach for adatom interactions is applied to elastically isotropic substrates. The oscillating interactions between adatom monomers or dimers are caused by strain fields in the substrate. Expansive or…

Materials Science · Physics 2020-10-12 Wolfgang Kappus

We study interactions between biological cells that apply anisotropic active mechanical forces on an elastic substrate. We model the cells as thin discs that along their perimeters apply radial, but angle-dependent forces on the substrate.…

Soft Condensed Matter · Physics 2019-03-28 Roman Golkov , Yair Shokef

An improved linear model is developed for elasto-plastic and adhesive contact. New correlations are proposed and validated to estimate the key input parameters of the model, including contact stiffness, yield point, maximum pull-off force…

Fluid Dynamics · Physics 2022-07-19 Wenguang Nan , Wei Pin Goh , Mohammad Tarequr Rahman

Adhesive contact between a thin elastic sheet and a substrate in a liquid environment arises in a range of biological, physical and technological applications. By considering the dynamics of this process that naturally couples fluid flow,…

Fluid Dynamics · Physics 2015-08-26 Andreas Carlson , Shreyas Mandre , L. Mahadevan

Collisions and contacts of elastic materials are numerically and theoretically investigated. Using a two-dimensional spring-mass model with defect particles under the free boundary condition, we reproduce the Hertzian contact theory at…

Statistical Mechanics · Physics 2009-11-11 Hiroto Kuninaka , Hisao Hayakawa

Numerous exact relations exist that relate the effective elastic properties of composites to the elastic properties of their components. These relations can not only be used to determine the properties of certain composites, but also…

Classical Physics · Physics 2012-01-13 Biswajit Banerjee , Daniel O. Adams

We investigate impact-induced gas-liquid interfacial dynamics through experiments in which a liquid-filled container impacts substrates with elastic moduli from $O(10^{-1})$ MPa to $O(10^{5})$ MPa. Upon impact, the concave gas-liquid…

Soft Condensed Matter · Physics 2026-02-09 Ishin Kikuchi , Hiroya Watanabe , Yuto Yokoyama , Hiroaki Kusuno , Yoshiyuki Tagawa

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 simple expressions for load required to indent a layer of arbitrary thickness with a conical, paraboloidal or cylindrical punch. A rigid substrate underneath the sample leads to an increase of load required for indentation. This…

Classical Physics · Physics 2021-01-18 Paweł Hermanowicz

Dexterous manipulation requires careful reasoning over extrinsic contacts. The prevalence of deforming tools in human environments, the use of deformable sensors, and the increasing number of soft robots yields a need for approaches that…

Robotics · Computer Science 2025-05-19 Mark Van der Merwe , Miquel Oller , Dmitry Berenson , Nima Fazeli

We continue the development of a method to accurately and efficiently identify the constitutive behavior of complex materials through full-field observations that we started in Akerson, Rajan and Bhattacharya (2024). We formulate the…

Materials Science · Physics 2026-04-13 Andrew Akerson , Aakila Rajan , Daniel Casem , Kaushik Bhattacharya

The load-area relation of rough surfaces is of great interest in tribology. For elastic-plastic solids with strain hardening, an incremental model is adopted to analyze the contact of rough surfaces, in which the contact is modeled by…

Soft Condensed Matter · Physics 2022-12-28 Yue Ding , Xuan-Ming Liang , Gang-Feng Wang

This paper presents the derivation of the homogenized equations that describe the macroscopic mechanical response of elastomers filled with liquid inclusions in the setting of small quasistatic deformations. The derivation is carried out…

Soft Condensed Matter · Physics 2023-01-26 Kamalendu Ghosh , Victor Lefevre , Oscar Lopez-Pamies

The numerical analysis of elastic wave propagation in unbounded media may be difficult to handle due to spurious waves reflected at the model artificial boundaries. Several sophisticated techniques such as nonreflecting boundary conditions,…

Classical Physics · Physics 2010-09-06 Jean-François Semblat , Ali Gandomzadeh , Luca Lenti

True contact between randomly rough solids consists of myriad individual micro-junctions. While their total area controls the adhesive friction force of the interface, other macroscopic features, including viscoelastic friction, wear,…

Soft Condensed Matter · Physics 2019-06-10 R. Sahli , G. Pallares , A. Papangelo , M. Ciavarella , C. Ducottet , N. Ponthus , J. Scheibert