# Why does glass, in spite of being amorphous, often break along very smooth surfaces?

When a crystalline material breaks, it often does so along planes in its crystalline structure. As such this is a result of its microscopic structure.

When glass breaks however, the shapes along which it breaks are typically very smooth as well, rather than being very irregular or jagged. Being amorphous, one shouldn't expect any smooth surfaces (of more than microscopic size) across which the atoms are bonding more weakly than in other direction to be present at all.

One possibility that I can think of is that real glass is locally crystalline, and some surfaces of weaker bonding are actually present in the material, and an ideal glass would behave differently.

Another possibility is that unlike in crystalline materials, this is not a result of its microscopic structure, but rather of its macroscopic structure namely its shape: when the glass is hit, it vibrates in a way that is constrained by its shape. We see that harmonic vibrations in a solid typically has very smooth shapes along which the amplitude is 0 (nodal patterns), like in Chladni plates

Does anyone know what is the actual reason?

• Why would a crack propagating through a nominally isotropic and uniform material turn left or right? Even if a varying stress field or material variation caused a slight turning tendency, how would an zigzag crack arise? – Chemomechanics Jul 9 '20 at 23:37
• This is called conchoidal fracture. There are some nice pictures here. – PM 2Ring Jul 10 '20 at 2:44
• @PM2Ring nice! If I understand correctly from the article, here you actually see the effect of how the vibration propagates through the material in the surface of fracture – doetoe Jul 10 '20 at 7:07
• @PM2Ring wouldn't you like to make this into an answer? I think it nicely complements the other one – doetoe Jul 10 '20 at 8:39
• There might also be some differential geometry at play here. Most glass shards we see are from flat panes and they are usually broken by some force trying to bend them one way or the other. Now as you can easily see by bending and crumpling a piece of paper, those bends happen uniformly along straight lines (due to the invariant zero Gaussian curvature). So if deformation pushes the glass past the breaking point, it will likely do so uniformly along those straight lines. – mlk Jul 10 '20 at 8:43

## 3 Answers

What you describe is the cleavage type of fracture of polycrystalline material. The surfaces are smooth, but the micro anisotropy due to the several grains can be seen in a scanning electron microscope.

For a material without even a microscopic anisotropy, as the case of glass, the fracture propagates from an initial crack only following the stress concentration.

• Interesting. So actually the closer the material is to really being isotropic, the smoother the fractures would be, right? – doetoe Jul 10 '20 at 7:03
• A brittle monocrystal is anisotropic and also has smooth fracture surfaces. But they are function of stresses and crystalline structure. In a brittle isotropic amorphous material, the smooth surfaces are only function of the stresses. It is necessary to be brittle, because heated glass for exampe is amorphous and isotropic but very plastic! – Claudio Saspinski Jul 10 '20 at 15:04
• -1 I don't see how your link to a random blob of papers plus the definition at the top of the page "Cleavage fracture is the most dangerous form of fracture, which is classified as a brittle transgranular fracture by separation across well-defined crystallographic planes;" supports your answer about glass. Can you support the idea that glass is polycrystalline and not amorphous, and that this is the reason it breaks this way? – uhoh Jul 11 '20 at 10:39

As PM 2Ring has mentioned in a comment, if the crack is due to a mechanical impact (as opposed to gradually increasing stress beyond a critical value), then the shape of the crack is defined by the shape of the shock waves / vibration patterns, in addition to the structure of the material.

In crystalline materials with natural planes of separation this effect contributes very little to the final shape of the crack, but in amorphous materials such as glass it leads to clearly visible patterns of shock waves (conchoidal fracture) propagating from the initial impact point:

Poly-crystalline materials and crystals with no planes of weakness also produce similar cracks on impact.

Stress gets concentrated at the tip of a crack or at an inside corner. See this video and this video. Note that in these simulations the crack does not propagate in a perfectly smooth path. In the second simulation, inhomogeneities in the medium affect the propagation direction.

If you examine the exposed surface of a conchoidal fracture such as this one, you'll see ripples on a small scale.

These can be the result of instabilities in the dynamics of the propagation, and/or the result of inhomogeneities in the medium.

The mathematics describing crack propagation can be found here. It's not simple! Generally, all three modes (opening, in plane shear, and out of plane shear) will occur simultaneously.