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Classical Fracture Mechanics
Finite Element Techniques in Fracture
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according to Gallagher aggregate interlock algorithm anchored bar angle of crack Apparent fracture toughness approach beam OA-1 CARD SET chapter computed coordinates crack extension crack increment crack length according crack nucleation crack opening crack propagation crack tip elements criterion defined deformed mesh determination discrete crack energy release rate Engrg equation evaluated experimental failure FEFAP Figure finite element analysis Finite Element Method fracture initiation fracture mechanics fracture toughness versus i i i i implemented initial displacement initial mesh interface element isoparametric linear elastic material number Matrix Decompositions maximum Naus non-linear number of elements parameter performed plane plot Poisson's ratio principal stresses pure mode ratio reinforced concrete relative crack length shear stiffness shown in Fig singular element smeared crack solution steel stiffness matrix strain energy stress intensity factors structures tensile strength tensile stress test specimen Total number toughness versus relative versus relative crack Young's modulus