| CPC C03C 21/002 (2013.01) [G02F 1/133305 (2013.01); G02F 1/133331 (2021.01); G06F 1/1652 (2013.01)] | 17 Claims |

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1. A foldable apparatus comprising a substrate comprising:
a substrate thickness defined between a first major surface and a second major surface opposite the first major surface;
a first portion comprising the substrate thickness, a first compressive stress region extending to a first depth of compression from the first major surface, a second compressive stress region extending to a second depth of compression from the second major surface;
a second portion comprising the substrate thickness, a third compressive stress region extending to a third depth of compression from the first major surface, a fourth compressive stress region extending to a fourth depth of compression from the second major surface;
a central portion positioned between the first portion and the second portion, the central portion comprising a central thickness defined between a first central surface area and a second central surface area opposite the first central surface area, a first central compressive stress region extending to a first central depth of compression from the first central surface area, a second central compressive stress region extending to a second central depth of compression from the second central surface area, the first central surface area is recessed from the first major surface by a first distance, the second central surface area is recessed from the second major surface by a second distance, and the central thickness is less than the substrate thickness; and
a concentration of lithium oxide at the first central surface area is greater than a concentration of lithium oxide at a central midpoint by from 0.2 mol % to 2 mol %,
wherein the first portion comprises:
a midpoint midway between the first major surface and the second major surface;
a concentration of lithium oxide at the first major surface;
a total concentration of potassium oxide, rubidium oxide, cesium oxide, and francium oxide at the first major surface;
a concentration of lithium oxide at the midpoint; and
a total concentration of potassium oxide, rubidium oxide, cesium oxide, and francium oxide at the midpoint, and
wherein the substrate is a glass-based substrate or a ceramic-based substrate, and the central midpoint is midway between the first central surface area and the second central surface area, the central portion comprises:
a total concentration of potassium oxide, rubidium oxide, cesium oxide, and francium oxide at the first central surface area; and
a total concentration of potassium oxide, rubidium oxide, cesium oxide, and francium oxide at the central midpoint.
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15. A foldable apparatus comprising a substrate comprising:
a substrate thickness defined between a first major surface and a second major surface opposite the first major surface;
a first portion comprising the substrate thickness, a first compressive stress region extending to a first depth of compression from the first major surface, a second compressive stress region extending to a second depth of compression from the second major surface;
a second portion comprising the substrate thickness, a third compressive stress region extending to a third depth of compression from the first major surface, a fourth compressive stress region extending to a fourth depth of compression from the second major surface;
a central portion positioned between the first portion and the second portion, the central portion comprising a central thickness defined between a first central surface area and a second central surface area opposite the first central surface area, a first central compressive stress region extending to a first central depth of compression from the first central surface area, a second central compressive stress region extending to a second central depth of compression from the second central surface area, the first central surface area is recessed from the first major surface by a first distance, and the central thickness is less than the substrate thickness; and
a concentration of lithium oxide at the first central surface area is greater than a concentration of lithium oxide at a central midpoint by from 0.2 mol % to 2 mol %,
wherein the first portion comprises:
a midpoint midway between the first major surface and the second major surface;
a concentration of lithium oxide at the first major surface;
a total concentration of potassium oxide, rubidium oxide, cesium oxide, and francium oxide at the first major surface;
a concentration of lithium oxide at the midpoint; and
a total concentration of potassium oxide, rubidium oxide, cesium oxide, and francium oxide at the midpoint, and
wherein the substrate is a glass-based substrate or a ceramic-based substrate, and the central midpoint is midway between the first central surface area and the second central surface area, the central portion comprises:
a total concentration of potassium oxide, rubidium oxide, cesium oxide, and francium oxide at the first central surface area; and
a total concentration of potassium oxide, rubidium oxide, cesium oxide, and francium oxide at the central midpoint,
wherein a surface profile of the first central surface area has an average gradient of 0.015 mm/mm or less.
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