Calculation of Stress Intensity Factors for an Arbitrary Oriented Penny-shaped Crack Under Inner Pressure in an Orthotropic Electroelastic Material

Kirilyuk, V. S.; Levchuk, O. I.; Altenbach, Holm

doi:10.1007/978-3-030-13307-8_16

Cited by 1 publication

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“…In [8], the contact problem of thermoelasticity is studied with a special distribution of the temperature field on the surface of the punch, which is proportional to the contact pressure under the paraboloidal punch. In the papers [11][12][13][14][15] and [16][17][18][19][20][21], spatial problems for transverselyisotropic elastic and electroelastic bodies respectively were considered. At the same time, analytical solutions of spatial contact problems for transversely isotropic elastic bodies were not obtained when hard punch heated in an arbitrary manner.…”

Section: Introductionmentioning

confidence: 99%

Modeling of contact interaction of a heated plane rigid elliptical punch with a transversally isotropic elastic half-space

Kirilyuk¹,

Levchuk²,

Gavrilenko³

et al. 2020

SRIT

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On the base of a rigorous mathematical model, the problem of the contact interaction of a heated flat punch of an elliptical section with a transversely isotropic elastic half-space is investigated. It is assumed that the half-space surface is the isotropy plane of a transversely isotropic material, and also that there is a smooth (without friction) contact. Expressions of contact stresses and displacements of a heated flat elliptical punch are found explicitly. In the form of a simple inequality, a condition for separating the elastic material from the surface of a flat elliptical punch is obtained. Numerical calculations are carried out. Contact interaction of a heated flat punch is studied taking into account the separation of material from the punch.

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