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The so-called indentation stiffness tomography technique for detecting the interior mechanical properties of an elastic sample with an inhomogeneity is analyzed in the framework of the asymptotic modeling approach under the assumption of…

Analysis of PDEs · Mathematics 2013-11-22 Ivan Argatov

We study the axisymmetric impact of a rigid sphere onto an elastic membrane theoretically and experimentally. We derive governing equations from first principles and impose natural kinematic and geometric constraints for the coupled motion…

Classical Physics · Physics 2023-01-19 Elvis A. Agüero , Luke Alventosa , Daniel M. Harris , Carlos A. Galeano-Rios

Previous study of contact of power-law graded materials concerned the contact of a rigid body (punch) with an elastic inhomogeneous foundation whose inhomogeneity is characterized by the Young modulus varying with depth as a power function.…

Analysis of PDEs · Mathematics 2022-02-14 Y. A. Antipov , S. M. Mkhitaryan

We model numerically the partial normal contact of two elastic rough surfaces with highly correlated asperities. Facing surfaces are unmated and described as self-affine with a Hurst exponent H. The numerical algorithm is based on Fourier…

Condensed Matter · Physics 2007-05-23 G. George Batrouni , Alex Hansen , Jean Schmittbuhl

In the present paper we show that the normal contact problem between two elastic bodies in the halfspace approximation can always be transformed to an equivalent problem of the indentation of a profile into an elastic Winkler foundation.…

Soft Condensed Matter · Physics 2015-10-26 Valentin L. Popov , Roman Pohrt , Markus Heß

We consider the common problem setting of an elastic sphere impacting on a flexible beam. In contrast to previous studies, we analyze the modal energy distribution induced by the impact, having in mind the particular application of impact…

Systems and Control · Electrical Eng. & Systems 2022-07-05 Felix Gehr , Timo Theurich , Carlo Monjaraz-Tec , Johann Gross , Stefan Schwarz , Andreas Hartung , Malte Krack

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

We present a molecular dynamics study of the contact between a rigid solid with a randomly rough surface and an elastic block with a flat surface. The numerical calculations mainly focus on the contact area and the interfacial separation…

Soft Condensed Matter · Physics 2008-05-08 C. Yang , B. N. J. Persson

An analytical solution in a closed form is obtained for the three-dimensional elastic strain distribution in an unlimited medium containing an inclusion with a coordinate-dependent lattice mismatch (an eigenstrain). Quantum dots consisting…

Mesoscale and Nanoscale Physics · Physics 2017-04-05 A. V. Nenashev , A. V. Dvurechenskii

This paper presents a new isogeometric mortar contact formulation based on an extended finite element interpolation to capture physical pressure discontinuities at the contact boundary. The so called two-half-pass algorithm is employed,…

Computational Engineering, Finance, and Science · Computer Science 2018-07-13 Thang Xuan Duong , Laura De Lorenzis , Roger A. Sauer

A method is presented for the determination of complex-valued compression and shear elastic moduli of polymers for ultrasound applications. The resulting values, which are scarcely reported in the literature, are found with uncertainties…

Fluid Dynamics · Physics 2025-10-30 William N. Bodé , Fabian Lickert , Per Augustsson , Henrik Bruus

Numerical simulations of the dynamics of an elastic collision between a rigid sphere and an elastic half-space are carried out. We assume an Amontons-Coulomb frictional force with a fixed coefficient of friction between the contacting…

Soft Condensed Matter · Physics 2017-08-30 I. A. Lyashenko , E. Willert , V. L. Popov

Traditional methods to achieve high localization accuracy with tactile sensors usually use a matrix of miniaturized individual sensors distributed on the area of interest. This approach usually comes at a price of increased complexity in…

It has recently been suggested that many contact mechanics problems between solids can be accurately studied by mapping the problem on an effective one dimensional (1D) elastic foundation model. Using this 1D mapping we calculate the…

Materials Science · Physics 2013-11-06 I. A. Lyashenko , Lars Pastewka , Bo N. J. Persson

This paper is concerned with the inverse time-harmonic elastic scattering problem of recovering unbounded rough surfaces in two dimensions. We assume that elastic plane waves with different directions are incident onto a rigid rough surface…

Numerical Analysis · Mathematics 2018-04-09 Guanghui Hu , Xiaoli Liu , Bo Zhang , Haiwen Zhang

We investigate the effective elastic properties of periodic dilute two-phase composites consisting of an homogeneous isotropic matrix and a periodic array of rigid inclusions. We assume the rigid inclusion in a unit cell is a simply…

Analysis of PDEs · Mathematics 2024-03-26 Daehee Cho , Doosung Choi , Mikyoung Lim

Contact and related phenomena, such as friction, wear or elastohydrodynamic lubrication, remain as one of the most challenging problem classes in nonlinear solid and structural mechanics. In the context of their computational treatment with…

Computational Engineering, Finance, and Science · Computer Science 2021-11-30 Alexander Popp , Ivo Steinbrecher

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…

Soft Condensed Matter · Physics 2015-02-19 Chung-Yuen Hui , Tianshu Liu , Thomas Salez , Elie Raphael , Anand Jagota

The accurate determination of the elastic properties is non-trivial for metallic foils. The measured elastic modulus is often described in literature as significantly smaller than the respective modulus of the bulk counterparts. This paper…

Materials Science · Physics 2020-09-30 C. O. W. Trost , S. Wurster , C. Freitag , A. Steinberger , M. J. Cordill

We consider a linearly elastic composite medium, which consists of a homogeneous matrix containing a statistically homogeneous set of multimodal spherical inclusions modeling the morphology of heterogeneous solid propellants (HSP).…

Materials Science · Physics 2012-09-21 V. A. Buryachenko