Glasses having non-frangible stress profiles
A glass exhibiting non-frangible behavior in a region where substantially higher central tension is possible without reaching frangibility is provided. This region allows greater extension of the depth of compression in which fracture-causing flaws are arrested, without rendering the glass frangible despite the presence of high central tension region in the sample.
1. A glass, the glass being ion-exchanged and comprising:
a. a compressive layer extending from a surface of the glass to a depth of compression DOC, the compressive surface layer having a maximum compressive stress CS;
b. a central region having a maximum physical central tension CT at a centre of the glass, the central region extending outward from the centre of the glass to the depth of compression, wherein the glass has an average elastic energy density of less than 200 J/m 2 ·mm;
a thickness t in a range from 0.3 mm to 1.0 mm, wherein DOC≥0.08·t and; and wherein:
i. the physical central tension CT is greater than 0.681×(57−9.0×ln(t)+49.3×(ln(t) 2 ) when 0.3 mm≤t≤0.5 mm, wherein the unit of 57 is MPa, the unit of −9.0 is MPa/mm, the unit of ln(t) is mm, the unit of 49.3 is MPa/mm and the unit of (ln(t)) 2 is mm;
ii. the physical central tension CT is greater than 0.728×(57−9.0×ln(t)+49.3×(ln(t) 2 ) when 0.5 mm≤t≤0.7 mm, wherein the unit of 57 is MPa, the unit of −9.0 is MPa/mm, the unit of ln(t) is mm, the unit of 49.3 is MPa/mm and the unit of (ln(t)) 2 is mm;
iii. the physical central tension CT is greater than 0.755×(−38.7×ln(t)+48.2) when 0.7 mm<t≤1.0 mm, wherein the unit of −38.7 is MPa/mm, the unit of ln(t) is mm, and the unit of 48.2 is MPa; and
iv. the glass has a total normalized energy
W
norm
tot
=
W
el
tot
(
1
-
v
E
)
=
∫
0
Thickness
σ
2
dx
per unit thickness of less than or equal to 37.5×10 3 MPa 2 μm, wherein v is the Poisson ratio, E is Young's modulus, σ is the stress, and x is the depth.
2. The glass of claim 1 , wherein:
a. the physical central tension CT is greater than 0.728×(57−9.0×ln(t)+49.3×(ln(t)) 2 ) when 0.3 mm≤t≤0.5 mm, wherein the unit of 57 is MPa, the unit of −9.0 is MPa/mm, the unit of ln(t) is mm, the unit of 49.3 is MPa/mm and the unit of (ln(t)) 2 is mm;
b. the physical central tension CT is greater than 0.751×(57−9.0×ln(t)+49.3×(ln(t)) 2 ) when 0.5 mm≤t≤0.7 mm, wherein the unit of 57 is MPa, the unit of −9.0 is MPa/mm, the unit of ln(t) is mm, the unit of 49.3 is MPa/mm and the unit of (ln(t)) 2 is mm; and
c. the physical central tension CT is greater than 0.768×(−38.7×ln(t)+48.2) when 0.7 mm<t≤1.0 mm, wherein the unit of −38.7 is MPa/mm, the unit of ln(t) is mm, and the unit of 48.2 is MPa.
3. The glass of claim 1 , wherein the glass has an average elastic energy density of less than 140 J/m 2 ·mm.
4. The glass of claim 3 , wherein the glass has an average elastic energy density of less than 120 J/m 2 ·mm.
5. The glass of claim 1 , wherein the compressive stress CS is at least 150 MPa.
6. The glass of claim 1 , wherein the compressive stress CS is less than 250 MPa.
7. The glass of claim 1 , wherein the glass is an alkali aluminosilicate glass.
8. The glass of claim 1 , wherein DOL>0.1t.
9. The glass of claim 8 , wherein DOL>0.15t.
10. The glass of claim 1 , wherein the glass has a central tension CT greater than 57 (MPa)−9.0(MPa/mm)·ln(t)(mm)+49.3(MPa/mm)·(ln(t)) 2 (mm) for thicknesses less than or equal to 0.75 mm, or greater than −38.7(MPa/mm)·ln(t)(mm)+48.2(MPa) for thicknesses greater than 0.75 mm.