Contact stress analysis of an elastic half-plane containing multiple inclusions

Kuo, C. H.

doi:10.1016/j.ijsolstr.2008.03.032

Cited by 26 publications

(13 citation statements)

References 28 publications

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“…This problem is analyzed numerically by using complex variable formulation of Muskhelishivii. Kuo (2007Kuo ( , 2008 studied the effects of multiple spherical or ellipsoidal inclusions on the contact pressure and subsurface stresses in an elastic half-space. This two-dimensional contact stress analysis used a boundary element method, where the results are obtained by solving a set of integral equations numerically.…”

Section: Introductionmentioning

confidence: 99%

Contact analysis in presence of spherical inhomogeneities within a half-space

Leroux

Fulleringer

Nélias

2010

International Journal of Solids and Structures

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a b s t r a c tThis paper presents a fast method of solving contact problems when one of the mating bodies contains multiple heterogeneous inclusions, and numerical results are presented for soft or stiff inhomogeneities. The emphasis is put on the effects of spherical inclusions on the contact pressure distribution and subsurface stress field in an elastic half-space. The computing time and allocated memory are kept small, compared to the finite element method, by the use of analytical solution to account for the presence of inhomogeneities. Eshelby's equivalent inclusion method is considered in the contact solver. An iterative process is implemented to determine the displacements and stress fields caused by the eigenstrains of all spherical inclusions. The proposed method can be seen as an enrichment technique for which the effect of heterogeneous inclusions is superimposed on the homogeneous solution in the contact algorithm. 3D and 2D Fast Fourier Transforms are utilized to improve the computational efficiency. Configurations such as stringer and cluster of spherical inclusions are analyzed. The effects of Young's modulus, Poisson's ratio, size and location of the inhomogeneities are also investigated. Numerical results show that the presence of inclusions in the vicinity of the contact surface could significantly changes the contact pressure distribution. From a numerical point of view the role of Poisson's ratio is found very important. One of the findings is that a relatively 'soft' and nearly incompressible inclusion -for example a cavity filled with a liquid -can be more detrimental for the stress state within the matrix than a very hard inclusion with a classical Poisson's ratio of 0.3. Ó

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Section: Introductionmentioning

confidence: 99%

Contact analysis in presence of spherical inhomogeneities within a half-space

Leroux

Fulleringer

Nélias

2010

International Journal of Solids and Structures

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“…Several research works, which are not directed towards the development of nervous materials but could be used there, have been carried out on the investigation of deformation fields around inclusions. These include the numerical equivalent inclusion method [61], cubic inclusion arrangements [62], elliptical inclusion in finite composite laminate [63], the effects of non-metallic inclusions on fatigue strength of steels [64] and an elastic half-plane containing multiple inclusions [65]. The models on detection of an applied load (or stress) on a structure present an inverse problem, in which the displacement (usually) readings from sensors are used to precisely pinpoint the location of the applied load on the structure.…”

Section: Modeling and Simulationmentioning

confidence: 99%

Towards sensor array materials: can failure be delayed?

Mekid

Saheb

Khan

et al. 2015

Science and Technology of Advanced Materials

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Further to prior development in enhancing structural health using smart materials, an innovative class of materials characterized by the ability to feel senses like humans, i.e. ‘nervous materials’, is discussed. Designed at all scales, these materials will enhance personnel and public safety, and secure greater reliability of products. Materials may fail suddenly, but any system wishes that failure is known in good time and delayed until safe conditions are reached. Nervous materials are expected to be the solution to this statement. This new class of materials is based on the novel concept of materials capable of feeling multiple structural and external stimuli, e.g. stress, force, pressure and temperature, while feeding information back to a controller for appropriate real-time action. The strain–stress state is developed in real time with the identified and characterized source of stimulus, with optimized time response to retrieve initial specified conditions, e.g. shape and strength. Sensors are volumetrically embedded and distributed, emulating the human nervous system. Immediate applications are in aircraft, cars, nuclear energy and robotics. Such materials will reduce maintenance costs, detect initial failures and delay them with self-healing. This article reviews the common aspects and challenges surrounding this new class of materials with types of sensors to be embedded seamlessly or inherently, including appropriate embedding manufacturing techniques with modeling and simulation methods.

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“…It should be noted that there is an important difference between the graded property materials and materials containing inhomogeneities such as inclusions or voids. Kuo examined this matter in a two dimensional contact problem using the boundary element method. Leroux et al.…”

Section: Introductionmentioning

confidence: 99%

Two‐dimensional analysis of the fully coupled rolling contact problem between a rigid cylinder and an orthotropic medium

et al. 2017

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In this paper, the fully-coupled rolling contact problem between a rigid cylinder and an orthotropic medium is investigated. The governing equations are developed analytically; then, a numerical method, the Gauss-Chebyshev method, is used to solve the coupled integral equations. The rolling contact problem is solved by assuming a central stick zone accompanied with two slip regions. The main purpose of this study is to obtain the surface stresses in the contact area and investigate the effect of material orthotropic properties such as shear parameter and stiffness ratio and also the coefficient of friction on these contact stresses. In addition, the subsurface stresses in the orthotropic medium are determined and a parametric study, was subsequently executed. The current paper shows that the orthotropic parameters and the coefficient of friction significantly influence the contact surface stresses and the distribution of the interior field stresses. By appropriately choosing the values of these parameters, the stresses will decrease; thus, the failure behavior of the orthotropic medium improves.

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Contact stress analysis of an elastic half-plane containing multiple inclusions

Cited by 26 publications

References 28 publications

Contact analysis in presence of spherical inhomogeneities within a half-space

Contact analysis in presence of spherical inhomogeneities within a half-space

Towards sensor array materials: can failure be delayed?

Two‐dimensional analysis of the fully coupled rolling contact problem between a rigid cylinder and an orthotropic medium

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