Abstract: Glass-based article including a first surface and a second surface opposing the first surface defining a thickness (t), and a stress profile are disclosed having a thickness (t) of about 3 millimeters or less, and wherein all points of the stress profile between a thickness range from about 0·t up to 0.3·t and from greater than 0.7·t, comprise a tangent with a slope that is less than about ?0.1 MPa/micrometers or greater than about 0.1 MPa/micrometers. Also disclosed are glass-based articles having a thickness (t) in a range of 0.1 mm and 2 mm; and wherein at least one point of the stress profile in a first thickness range from about 0·t up to 0.020·t and greater than 0.98·t comprises a tangent with a slope of from about ?200 MPa/micrometer to about ?25 MPa/micrometer or about 25 MPa/micrometer to about 200 MPa/micrometer, and wherein all points of the stress profile in a second thickness range from about 0.035·t and less than 0.

Abstract: Methods of manufacturing a glass-based article includes exposing a glass-based substrate having a lithium aluminosilicate composition to an ion exchange treatment to form the glass-based article. The ion exchange treatment including a molten salt bath having a concentration of a sodium salt in a range from 8 mol % to 100 mol %. The glass-based article includes sodium having a non-zero varying concentration extending from a surface of the glass-based article to a depth of the glass-based article The glass-based article has compressive stress layer extending from the surface to a spike depth of layer from 4 micrometers to 8 micrometers. The glass-based article includes a molar ratio of potassium oxide (K2O) to sodium oxide (Na2O) averaged over a distance from the surface to a depth of 0.4 micrometers that is greater than or equal to 0 and less than or equal to 1.8.

Abstract: Glass-based articles comprise stress profiles providing improved fracture resistance. The glass-based articles herein provide high fracture resistance after multiple drops.

Abstract: Methods of manufacturing a glass-based article includes exposing a glass-based substrate having a lithium aluminosilicate composition to an ion exchange treatment to form the glass-based article. The ion exchange treatment including a molten salt bath having a concentration of a sodium salt in a range from 8 mol % to 100 mol %. The glass-based article includes sodium having a non-zero varying concentration extending from a surface of the glass-based article to a depth of the glass-based article The glass-based article has compressive stress layer extending from the surface to a spike depth of layer from 4 micrometers to 8 micrometers. The glass-based article includes a molar ratio of potassium oxide (K2O) to sodium oxide (Na2O) averaged over a distance from the surface to a depth of 0.4 micrometers that is greater than or equal to 0 and less than or equal to 1.8.

Abstract: 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.

Abstract: A glass-based article including a first surface and a second surface opposing the first surface defining a thickness (t) of about 3 millimeters or less (e.g., about 1 millimeter or less), and a stress profile, wherein all points of the stress profile between a thickness range from about 0·t up to 0.3·t and from greater than about 0.7·t to t, comprise a tangent with a slope having an absolute value greater than about 0.1 MPa/micrometer. In some embodiments, the glass-based article includes a non-zero metal oxide concentration that varies along at least a portion of the thickness (e.g., 0·t to about 0.3·t) and a maximum central tension of less than about 71.5/?(t) (MPa). In some embodiments, the concentration of metal oxide or alkali metal oxide decreases from the first surface to a point between the first surface and the second surface and increases from the point to the second surface. The concentration of the metal oxide may be about 0.05 mol % or greater or about 0.

Abstract: A glass composition includes: from 55.0 mol % to 70.0 mol % SiO2; from 12.0 mol % to 20.0 mol % Al2O3; from 5.0 mol % to 15.0 mol % Li2O; and from 4.0 mol % to 15.0 mol % Na2O. The glass composition has the following relationships ?8.00 mol %?R2O+RO?Al2O3?B2O3?P2O5??1.75 mol %, 9.00?(SiO2+Al2O3+Li2O)/Na2O, and (Li2O+Al2O3+P2O5)/(Na2O+B2O3)?3.50. The glass composition may be used in a glass article or a consumer electronic product.

Abstract: A lithium containing glass article is provided. In aspects, the lithium containing glass article includes an intensity coupling profile including a plurality of coupling resonances. A first of the coupling resonances has a half-width half-maximum value that is at least 1.8 times greater than the half-width half-maximum value of a second of the coupling resonances. In aspects, the lithium containing glass article includes a smoothed intensity coupling profile including a plurality of coupling resonances. A second derivative of the smoothed intensity coupling profile at a first of the coupling resonances is at least 1.8 times greater than a second derivative of the smoothed coupling profile at a second of the coupling resonances.

Abstract: A glass composition includes: from 55.0 mol % to 70.0 mol % SiO2; from 12.0 mol % to 20.0 mol % Al2O3; from 5.0 mol % to 15.0 mol % Li2O; and from 4.0 mol % to 15.0 mol % Na2O. The glass composition has the following relationships ?8.00 mol %?R2O+RO?Al2O3?B2O3?P2O5??1.75 mol %, 9.00?(SiO2+Al2O3+Li2O)/Na2O, and (Li2O+Al2O3+P2O5)/(Na2O+B2O3)?3.50. The glass composition may be used in a glass article or a consumer electronic product.

Abstract: A laminated glass article comprises a core layer comprising a core glass composition, and a cladding layer directly adjacent to the core layer and comprising a clad glass composition. A stress of the cladding layer increases with increasing distance from an outer surface of the cladding layer from a compressive stress to a tensile stress, transitions to a compressive stress as a step-change at an interface region between the core layer and the cladding layer, and increases with increasing distance from the interface region to a center of the core layer from the compressive stress to a tensile stress.

Abstract: Chemically strengthened glass articles having at least one deep compressive layer extending from a surface of the article to a depth of compression DOC of at least about 125 ?m within the glass article. The compressive stress profile includes a single linear segment or portion extending from the surface to the depth of compression DOC. Alternatively, the compressive stress profile may include an additional portion extending from the surface to a relatively shallow depth and the linear portion extending from the shallow depth to the depth of compression.

Abstract: Ion-exchanged glass ceramic articles described herein have a stress that decreases with increasing distance according to a substantially linear function from a depth of about 0.07 t to a depth of about 0.26 t from the outer surface of the ion-exchanged glass ceramic article from a compressive stress to a tensile stress. The stress transitions from the compressive stress to the tensile stress at a depth of from about 0.18 t to about 0.25 t from the outer surface of the ion-exchanged glass ceramic article. An absolute value of a maximum compressive stress at the outer surface of the ion-exchanged glass article is from 1.8 to 2.2 times an absolute value of a maximum central tension (CT) of the ion-exchanged glass article, and the glass ceramic article has a fracture toughness of 1 MPa?m or more as measured according to the double cantilever beam method.

Abstract: Glass-based articles are provided that exhibit improved fracture resistance. The relationships between properties attributable to the glass composition and stress profile of the glass-based articles are provided that indicate improved fracture resistance.

Abstract: Methods of characterizing ion-exchanged chemically strengthened Li-containing glasses include: a) measuring a mode spectrum of the glass sample; b) using the mode spectrum, estimating a first contribution to the center tension associated with a spike region and estimating a second contribution to the center tension due to a deep region only, wherein the deep region is assumed to follow a power-law stress profile; and c) determining a total center tension by adding of the first and second contributions to the center tension. The methods can be used for quality control during manufacturing of glass samples by comparing the total center tension to a center tension specification that provides optimum strength and durability.

Abstract: A laminated glass article comprises a core layer comprising a core glass composition, and a cladding layer directly adjacent to the core layer and comprising a clad glass composition. A stress of the cladding layer increases with increasing distance from an outer surface of the cladding layer from a compressive stress to a tensile stress, transitions to a compressive stress as a step-change at an interface region between the core layer and the cladding layer, and increases with increasing distance from the interface region to a center of the core layer from the compressive stress to a tensile stress.

Abstract: Glass-based articles comprise stress profiles providing improved fracture resistance. The glass-based articles herein provide high fracture resistance after multiple drops.

Abstract: A strengthened glass having a stress profile that differs from error-function and parabolic profiles. Stress relaxation and thermal annealing/diffusion effects, which occur at longer ion exchange and/or anneal times increase the depth of compression of the surface layer. A method of achieving these effects is also provided.

Abstract: Glass-based articles comprise stress profiles providing improved fracture resistance. The glass-based articles herein provide high fracture resistance after multiple drops.

Abstract: Methods and apparatus for obtaining a corrected digital mode spectrum for a chemically strengthened (CS) substrate having a curved surface are disclosed. The methods include digitally capturing transverse magnetic (TM) and transverse electric (TE) mode spectra of the CS substrate to form a digital mode spectrum image using an evanescent prism coupling system having a system calibration for measuring flat CS substrates. The method further includes establishing a calibration correction based on the difference in the digitally captured TM and TE mode spectra as compared to a reference TM and TE mode spectra for a reference CS substrate. The calibration correction is applied to the digital mode spectrum image to form the corrected digital mode spectrum image, which can be processed using the system calibration for measuring flat CS substrates to determine a refractive index profile and stress characteristics for the curved CS substrate.

Abstract: A glass composition includes from 55.0 mol % to 75.0 mol % SiO2; from 8.0 mol % to 20.0 mol % Al2O3; from 3.0 mol % to 15.0 mol % Li2O; from 5.0 mol % to 15.0 mol % Na2O; and less than or equal to 1.5 mol % K2O. The glass composition has the following relationships: Al2O3+Li2O is greater than 22.5 mol %, R2O+RO is greater than or equal to 18.0 mol %, R2O/Al2O3 is greater than or equal to 1.06, SiO2+Al2O3+B2O3+P2O5 is greater than or equal to 78.0 mol %, and (SiO2+Al2O3+B2O3+P2O5)/Li2O is greater than or equal to 8.0. The glass composition may be used in a glass article or a consumer electronic product.