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Numerical Methods in Dynamic Fracture Mechanics

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A REVIEW OF NUMERICAL METHODS FOR THE SOLUTION OF DYNAMIC PROBLEMS OF FRACTURE MECHANICS IS PRESENTED. FINITE DIFFERENCE, FINITE ELEMENT AND BOUNDARY ELEMENT METHODS AS APPLIED TO LINEAR ELASTIC OR VISCO-ELASTIC AND NON-LINEAR ELASTOPLASTIC IR ELASTOVISCOPLASTIC DYNAMIC FRACTURE MECHANICS PROBLEMS ARE DESCRIBED AND CRITICALLY EVALUATED. BOTH CASES OF STATIONARY CRACKS AND RAPIDLY PROPAGATING CRACKS OF SIMPLE I, II, III OR MIXED MODES ARE CONSIDERED. HARMONICALLY VARYING WITH TIME OR GENERAL TRANSIENT DYNAMIC DISTURBANCES IN THE FORM OF EXTERNAL LOADING OR INCIDENT WAVES ARE TAKEN INTO ACCOUNT. DETERMINATION OF THE DYNAMIC STRESS INTENSITY FACTOR FOR STATIONARY CRACKS OR MOVING CRACKS WITH KNOWN VELOCITY HISTORY AS WELL AS DETERMINATION OF THE CRACK-TIP PROPAGATION HISTORY FOR GIVEN DYNAMIC FRACTURE TOUGHNESS VERSUS CRACK VELOCITY RELATION ARE DESCRIBED AND ILLUSTRATED BY MEANS OF CERTAIN REPRESENTATIVE EXAMPLES. FINALLY, A BRIEF ASSESSMENT OF THE PRESENT STATE OF KNOWLEDGE IS MADE AND RESEARCH NEEDS ARE IDENTIFIED.
1995-03-15
European Commission
JRC5301
EUR 11300 EN,   
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