A theoretical and experimental investigation of the flaw distribution on glass surfaces

Tsai, Y. M.; Kolsky, H.

doi:10.1016/0022-5096(67)90004-x

Cited by 37 publications

(22 citation statements)

References 4 publications

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“…This emphasizes the applicability of the Hertz solution in [1], For a/H = 0.95, however, the maximum plate contact stress in excess of the half-space solution is as large as 20%. Contact stress distributions were calculated for various values of a/H, and the shapes of distribution set up by spherical indentation were seen not to deviate appreciably from each other.…”

Section: (A) Figures 2(a) (B) Were Obtained As a Results Of The Follmentioning

confidence: 99%

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Stress distributions in elastic and viscoelastic plates subjected to symmetrical rigid indentations

Tsai¹

1969

Quart. Appl. Math.

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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 fracture stress waves as a function of impact velocities. From the stress waves experimentally observed and a knowledge of wave propagation, it could be estimated that at the highest velocities of impact, fractures occurred only a few microseconds after the glass blocks were first compressed. At the instant of occurrence of fracture a thin layer of glass was stressed while the rest of the glass block was still free from traction. The physical situation would appear to be that of a thin layer of stressed material resting on a rigid foundation. It was also observed [4] that at high impact velocity large radial cracks were produced inside the material. This pattern of fractures, however, was not observed at lower impact velocities, where a relatively thicker layer of glass was stressed at the instant of fracture. This velocity effect on the patterns of fractures would lead one to consider the possible effect that the thickness of the stressed material has on the local stress distribution. It is with these considerations and with the practical applicability of the Hertz solution, for plates of finite thickness, that the present investigation is concerned.

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Section: (A) Figures 2(a) (B) Were Obtained As a Results Of The Follmentioning

confidence: 99%

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mentioning

confidence: 99%

Stress distributions in elastic and viscoelastic plates subjected to symmetrical rigid indentations

Tsai¹

1969

Quart. Appl. Math.

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“…In a previous paper [1] the fracture produced in a glass plate by pressing spherical indenters onto the glass surface was studied both theoretically and experimentally. Under the quasistatical loading of the indenter, a ring crack develops which encircles the area of contact of the indenter and the specimen.…”

Section: Introductionmentioning

confidence: 99%

“…For these fracture loads, the maximum tensile stresses which occur along the circles of contact were calculated from the Hertz solution for the spherical indentation of an elastic half-space [2, 31. Experimental results show that the mean value of the calculated tensile stresses is not a constant quantity, but increases with decreasing diameter of the indenter. The relationship between apparent tensile strength and indenter diameter is known as Auerbach's Law, and has been discussed in terms of the statistics of the flaw distribution in glass surfaces [1].…”

Section: Introductionmentioning

confidence: 99%

“…It was shown that the ratio of the maximum tensile stress in a plate to the corresponding half-space value approaches unity for thick plates, but increases with decreasing thickness. Thus, the half-space solution is an accurate approximation only for the plates [1], the thicknesses of which are large compared to the radius of the contact area. For thin plates under the pressure of large indenters, however, the maximum tensile stress in the plates may become twice as large as that in a half-space [4].…”

Section: Introductionmentioning

confidence: 99%

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Thickness dependence of the indentation hardness of glass plates

Tsai¹

1969

Int J Fract

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The load required to produce fracture m glass plates by pressing steel balls onto both upper and lower surfaces of the plate has been recorded experimentally as a function of the thickness of the plate and the diameter of the Indenter. It is observed that for a sufficiently large indenter the fracture load decreases rapidly as the thickness of the plate decreases. The variation of the fracture load with plate thickness rs shown to be a consequence of the fact that the value of the maximum tensile stress at the boundary of the contact area is larger in a thin plate than in a thick plate, for the same indentataon pressure. A method of calculation is described for determining the maxamum tensile stress m an elastic plate subjected to arbitrary symmetrical spherical indentations.

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The Initiation and Propagation of Hertzian Ring Cracks

Finnie

Vaidyanathan

1974

Concepts, Flaws, and Fractography

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A theoretical and experimental investigation of the flaw distribution on glass surfaces

Cited by 37 publications

References 4 publications

Stress distributions in elastic and viscoelastic plates subjected to symmetrical rigid indentations

Stress distributions in elastic and viscoelastic plates subjected to symmetrical rigid indentations

Thickness dependence of the indentation hardness of glass plates

The Initiation and Propagation of Hertzian Ring Cracks

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