Zur Frage der Druckverteilung unter elastisch gelagerten Tragwerken

Schubert, G.

doi:10.1007/bf02095912

Cited by 59 publications

(36 citation statements)

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“…This pressure distribution was originally found by Schubert (1942) and by Shtaerman (1949) as noted by Ja¨ger (2001) and Ciavarella (1999), respectively.…”

Section: Resultsmentioning

confidence: 89%

Hertz contact at finite friction and arbitrary profiles

Storåkers

Elaguine

2005

Journal of the Mechanics and Physics of Solids

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“…This pressure distribution was originally found by Schubert (1942) and by Shtaerman (1949) as noted by Ja¨ger (2001) and Ciavarella (1999), respectively.…”

Section: Resultsmentioning

confidence: 89%

Hertz contact at finite friction and arbitrary profiles

Storåkers

Elaguine

2005

Journal of the Mechanics and Physics of Solids

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“…The procedure to obtain these parameters is as follows. If a certain ratio (b/a) 1 is known, entering this value in the curve y/a = f 2 (b/a), it is possible to know the depth (y/a) 1 where the maximum of the yield parameter is produced. Also, the parameter ( ffiffi ffi J p =p 0 ) Max 1 can be obtained directly from the curve ( ffiffi ffi J p =p 0 ) Max = f 3 (b=a).…”

Section: Stress Field Due To Normal Loadmentioning

confidence: 99%

Explicit equations for the half-plane sub-surface stress field under a flat rounded contact

Vázquez

Domı́nguez

2014

The Journal of Strain Analysis for Engineering Design

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In this article, the interior half-plane stress field resulting from the contact between a half-plane and a flat rounded punch is obtained in an explicit form. The punch is first subjected to a normal load, N, and later to a tangential load Q = mN, so a global sliding condition is achieved. The equations presented here are obtained assuming that the contacting bodies exhibit isotropic elastic behaviour and have identical mechanical properties and that both bodies can be modelled as halfplanes. In addition to the equations describing the interior stress field, the maximum value of the von Mises parameter and the location of this maximum value are obtained as a function of the b/a ratio, a and b being the semi-widths of the contact zone and flat section, respectively. Finally, the direct stress, s t xx (x, 0), due to the tangential load is calculated using the formulae developed here.1. The contacting bodies exhibit isotropic elastic behaviour and have identical mechanical properties. 2. It is assumed that both contacting bodies behave as half-planes. Although the half-plane model applicability to the finite geometry of the flat rounded punch does not strictly comply. It is expected that

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“…By making use of the general solution of the axisymmetric contact problem for an elastic isotropic half-space [48][49][50][51][52] (see also [53][54][55]), the solution to Equation (2) can be represented in the form…”

Section: Contact Problem Formulationmentioning

confidence: 99%

An effective asymptotic method in the axisymmetric frictionless contact problem for an elastic layer of finite thickness

Argatov

2015

Math Methods in App Sciences

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A brief review of asymptotic methods to deal with frictionless unilateral contact problems for an elastic layer of finite thickness is presented. Under the assumption that the contact radius is small with respect to the layer thickness, an effective asymptotic method is suggested for solving the unilateral contact problem with a priori unknown contact radius. A specific feature of the method is that the construction of an asymptotic approximation is reduced to a linear algebraic system with respect to integral characteristics (polymoments) of the contact pressure. As an example, the sixth-order asymptotic model has been written out.

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Zur Frage der Druckverteilung unter elastisch gelagerten Tragwerken

Cited by 59 publications

References 0 publications

Hertz contact at finite friction and arbitrary profiles

Hertz contact at finite friction and arbitrary profiles

Explicit equations for the half-plane sub-surface stress field under a flat rounded contact

An effective asymptotic method in the axisymmetric frictionless contact problem for an elastic layer of finite thickness

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