## A semi-atomistic model for flaw-induced fracture in non-ductile materials |

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2n+l adjacent broken An+1 analysis applications applied stress ARRAY OF BONDS beryllium bond spacing bonds is accounted boron broken bonds broken filaments catastrophic crack propagation centration factor Charles Ref Cn+1 continuum mechanical correlate covalent bonding crack depth Crack Propagation Crack crack tip CRITICAL BOND FAILURE digital quantity dislocation mobility ductile dynamic overload dynamic stress concentration experimental filament is given filaments Ref flaw formally equivalent given by Griffith given in Equation graphite Griffith Ref Hedgepeth Ref Hedgepeth's interatomic bonds intrinsic bond strength intrinsic strength ionic bonds liquid nitrogen logKn MICRO-DYNAMIC network-structure non-ductile failure non-ductile fracture non-ductile materials non-linear force non-linear force-elongation number of adjacent number of broken phonons postulated Propagation Crack propagation semi-atomistic model shown in Figure silica SOUTHWICK spacing of bonds static fatigue static stress STRENGTH OF MATERIALS strength of non-ductile stress concentration factor surface energy TECHNICAL STRENGTH tensile strength theoretical theory to non-linear thermal thermoplastic uniaxial yields