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This paper investigates the stress and displacement distribution in a two-dimensional elastic hollow disk subjected to distributed diametric loading, extending our previous analysis of concentrated loading [Okamura et al. Strength Mater.…

Soft Condensed Matter · Physics 2025-05-29 Ken Okamura , Yosuke Sato , Satoshi Takada

This paper analyzes the stress distribution in a two-dimensional elastic disk under diametric loading, with a focus on enhancing the understanding of concrete and rock materials' mechanical behavior. The study revisits the Brazilian test…

Soft Condensed Matter · Physics 2025-10-14 Ken Okamura , Yosuke Sato , Satoshi Takada

Based on the superposition of incremental frictional surface tractions that, in the case of an incompressible elastic half-space, correspond to a rigid tangential translation of a circular contact domain, the stress and displacement fields…

Soft Condensed Matter · Physics 2024-10-29 Emanuel Willert

Thin elastic two-dimensionnal systems under compressive stresses may relieve part of their stretching energy by developing out of plane undulations. We investigate experimentally and theoretically the indentation of an elastic disk…

Classical Physics · Physics 2023-05-26 Tristan Suzanne , Julien Deschamps , Marc Georgelin , Gwenn Boedec

An efficient route to the displacement field around a rigid spherical inclusion in an infinitely extended homogeneous elastic medium is presented in a slightly alternative way when compared to some common textbook methods. Moreover, two…

Soft Condensed Matter · Physics 2019-05-10 Mate Puljiz , Andreas M. Menzel

A novel approach was derived to compute the elastic displacement field from a measured elastic deformation field (i.e., deformation gradient or strain). The method is based on integrating the deformation field using Finite Element…

Materials Science · Physics 2025-12-11 Abdalrhaman Koko , James Marrow , Elsiddig Elmukashfi

We present a complete analytical solution for the stress field inside a homogeneous, inside a homogeneous, linearly elastic solid sphere subjected to a concentrated normal load applied on its surface. Starting from the three-dimensional…

Classical Physics · Physics 2026-05-06 Yosuke Mori , Kiwamu Yoshii , Satoshi Takada

We present experimental and numerical results for displacement response functions in packings of rigid frictional disks under gravity. The central disk on the bottom layer is shifted upwards by a small amount, and the motions of disks above…

Soft Condensed Matter · Physics 2007-05-23 Cristian F. Moukarzel , Hector Pacheco-Martinez , J. C. Ruiz-Suarez , Ana M. Vidales

Integral expressions are determined for the elastic displacement and stress fields due to stationary or moving dislocation loops in finite samples. These general expressions are valid for anisotropic media as well. Specifically for the…

Condensed Matter · Physics 2017-02-08 Rodrigo Arias

The distribution of internal shear stresses in a 2D dislocation system is investigated when external shear stress is applied. This problem serves as a natural continuation of the previous work of Csikor and Groma (Csikor F F and Groma I…

Statistical Mechanics · Physics 2008-12-29 Péter Dusán Ispánovity , István Groma

We show that the maximum entropy hypothesis can successfully explain the distribution of stresses on compact clusters of particles within disordered mechanically stable packings of soft, isotropically stressed, frictionless disks above the…

Soft Condensed Matter · Physics 2015-10-13 Yegang Wu , S. Teitel

The stress profile and reorientation of grains, in response to a point force applied to a preloaded two dimensional granular system, are calculated in the context of a continuum theory that incorporates the texture of the packing. When high…

Soft Condensed Matter · Physics 2007-05-23 Rava da Silveira , Guillaume Vidalenc , Cyprien Gay

Integral expressions are determined for the elastic displacement and stress fields due to stationary or moving dislocation loops in three dimensional, not necessarily isotropic, finite samples. A line integral representation is found for…

Materials Science · Physics 2007-05-23 Rodrigo Arias , Fernando Lund

Based on a potential theoretical approach, the subsurface stress field is calculated for an elastic-half space, which is subject to normal and uniaxial tangential surface tractions that - in the case of elastic decoupling - correspond to…

Materials Science · Physics 2023-10-13 Emanuel Willert

This paper is concerned with an asymptotic analysis of the dispersion relation for wave propagation in an elastic layer of uniform thickness. The layer is subject to an underlying simple shear deformation accompanied by an arbitrary uniform…

Mathematical Physics · Physics 2007-05-23 Wasiq Hussain

An elastic disk is coated with an elastic rod, uniformly prestressed with a tensile or compressive axial force. The prestress state is assumed to be induced by three different models of external radial load or by 'shrink-fit' forcing the…

Classical Physics · Physics 2024-04-10 Matteo Gaibotti , Sofia G. Mogilevskaya , Andrea Piccolroaz , Davide Bigoni

In this article, we investigate the wave equation in spiral geometry and study the modes of vibrations of a one-dimensional (1-D) string in spiral shape. Here we show that the problem of wave propagation along a spiral can be reduced to…

Classical Physics · Physics 2014-10-21 Deep Chatterjee , Rajesh K. Nayak

The calculation of the stress field around an arbitrarily shaped crack in an infinite two-dimensional elastic medium is a mathematically daunting problem. With the exception of few exactly soluble crack shapes the available results are…

Materials Science · Physics 2007-05-23 Eran Bouchbinder , Joachim Mathiesen , Itamar Procaccia

Recent developments in imaging techniques and correlation algorithms enable measurement of strain fields on a deforming material at high spatial and temporal resolution. In such cases, the computation of the stress field from the known…

Materials Science · Physics 2020-12-08 Benjamin Cameron , Cem Tasan

Explicit expressions, for efficient application in engineering practice, are derived for generalized displacements and stresses in simply supported multi-layered wide plates and beams subjected to steady-state thermal and mechanical…

Materials Science · Physics 2015-03-16 M. Pelassa , R. Massabo
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