A non-frangible glass article strengthened by a dual or two-step ion exchange (IOX) process, where the first IOX step leads to a depth of compressive layer FSM_DOL>0.1·t or, in some embodiments, FSM_DOL>0.15·t, where t is the thickness of the glass, is provided. The glass article has a compressive stress CS1 after the first IOX step at the surface of from 100 MPa to 400 MPa or, in some embodiments, from 150 MPa to 300 MPa. The first IOX step is followed by a second IOX step, leading to a “spike” compressive stress CS2 after the second IOX step at the surface of greater than 500 MPa or, in some embodiments, 700 MPa. The width of the spike generated by the second IOX is between 1 μm and 30 μm, or between 8 μm and 15 μm, using the criteria where the magnitude (absolute value) of the slope of the spike is higher than 20 MPa/μm.