1969
DOI: 10.1090/qam/99818
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Stress distributions in elastic and viscoelastic plates subjected to symmetrical rigid indentations

Abstract: In a previous paper [1], the static and dynamic tensile strengths of glass blocks were measured by the methods of spherical indentation and impact. That paper was concerned with the apparent dependence of the values of the fracture strength on the radius of the spherical indenter. The theory developed there critically depends upon the validity of the Hertz treatment for an elastic half space [2], [3], In later work [4] the nature of fractures produced in glass blocks by impact was studied by measuring the frac… Show more

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Cited by 21 publications
(13 citation statements)
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“…(21) are applied over Eq. (20) [7]. The results can be written in an integral equation for determining p(r) as follows:…”
Section: Normal Contact Stressmentioning
confidence: 99%
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“…(21) are applied over Eq. (20) [7]. The results can be written in an integral equation for determining p(r) as follows:…”
Section: Normal Contact Stressmentioning
confidence: 99%
“…The results obtained in Ref. 7 were later employed in an experimental investigation [8]. In the present work, the techniques of the Hankel transform are used to solve the symmetrical problem of the contact between a spherical indenter and a transversely isotropic plate of finite thickness.…”
Section: Introductionmentioning
confidence: 99%
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“…It appears interesting to extend the earlier work [1] to viscoelastic materials. The stress-strain relationships for viscoelastic materials are time-dependent and can be represented to a certain extent by the behaviors of analog models [2][3][4][5]. The propagation of a crack in viscoelastic materials involves the combined effect of both time-dependent material properties and inertias of material particles.…”
Section: Introductionmentioning
confidence: 99%
“…The equations of motion to be satisfied and the strain-displacement relationships are the same as those for the corresponding elastic solutions [1]. The main difference is in the timedependent stress-strain relationships as follows [2,3] f'[ ';' 1 /i eij (7)+~iik(t T)c~rekk (7) dr…”
Section: Introductionmentioning
confidence: 99%