3/8/2002, Friday Toughness. Fracture Modes Stress Field Around Crack Tip.

Page 1 <img data-url='document/382002-friday-toughness-fracture-modes-stress-field-around-crack-tip.html?page=1' data-page='1' class='cut-thumb lazyload' alt='Page 1: 3/8/2002, Friday Toughness. Fracture Modes Stress Field Around Crack Tip.' loading='lazy' src='data:image/gif;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAADUlEQVR42mNk+P+/HgAFhAJ/wlseKgAAAABJRU5ErkJggg==' data-src='https://reader036.cupdf.com/reader036/viewer/2022062303/5515d7d5550346d46f8b493c/html5/thumbnails/1.jpg' width='140' height='200' /> 3/8/2002, Friday

Toughness

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Page 3 <img data-url='document/382002-friday-toughness-fracture-modes-stress-field-around-crack-tip.html?page=3' data-page='3' class='cut-thumb lazyload' alt='Page 3: 3/8/2002, Friday Toughness. Fracture Modes Stress Field Around Crack Tip.' loading='lazy' src='data:image/gif;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAADUlEQVR42mNk+P+/HgAFhAJ/wlseKgAAAABJRU5ErkJggg==' data-src='https://reader036.cupdf.com/reader036/viewer/2022062303/5515d7d5550346d46f8b493c/html5/thumbnails/3.jpg' width='140' height='200' /> Stress Field Around Crack Tip

Page 4 <img data-url='document/382002-friday-toughness-fracture-modes-stress-field-around-crack-tip.html?page=4' data-page='4' class='cut-thumb lazyload' alt='Page 4: 3/8/2002, Friday Toughness. Fracture Modes Stress Field Around Crack Tip.' loading='lazy' src='data:image/gif;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAADUlEQVR42mNk+P+/HgAFhAJ/wlseKgAAAABJRU5ErkJggg==' data-src='https://reader036.cupdf.com/reader036/viewer/2022062303/5515d7d5550346d46f8b493c/html5/thumbnails/4.jpg' width='140' height='200' /> Stress Concentration

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€

σij =KI

2πrfij(θ)

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Page 8 <img data-url='document/382002-friday-toughness-fracture-modes-stress-field-around-crack-tip.html?page=8' data-page='8' class='cut-thumb lazyload' alt='Page 8: 3/8/2002, Friday Toughness. Fracture Modes Stress Field Around Crack Tip.' loading='lazy' src='data:image/gif;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAADUlEQVR42mNk+P+/HgAFhAJ/wlseKgAAAABJRU5ErkJggg==' data-src='https://reader036.cupdf.com/reader036/viewer/2022062303/5515d7d5550346d46f8b493c/html5/thumbnails/8.jpg' width='140' height='200' /> Crack Tip Plastic Zone

Page 9 <img data-url='document/382002-friday-toughness-fracture-modes-stress-field-around-crack-tip.html?page=9' data-page='9' class='cut-thumb lazyload' alt='Page 9: 3/8/2002, Friday Toughness. Fracture Modes Stress Field Around Crack Tip.' loading='lazy' src='data:image/gif;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAADUlEQVR42mNk+P+/HgAFhAJ/wlseKgAAAABJRU5ErkJggg==' data-src='https://reader036.cupdf.com/reader036/viewer/2022062303/5515d7d5550346d46f8b493c/html5/thumbnails/9.jpg' width='140' height='200' /> Fracture Process Zone

Page 10 <img data-url='document/382002-friday-toughness-fracture-modes-stress-field-around-crack-tip.html?page=10' data-page='10' class='cut-thumb lazyload' alt='Page 10: 3/8/2002, Friday Toughness. Fracture Modes Stress Field Around Crack Tip.' loading='lazy' src='data:image/gif;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAADUlEQVR42mNk+P+/HgAFhAJ/wlseKgAAAABJRU5ErkJggg==' data-src='https://reader036.cupdf.com/reader036/viewer/2022062303/5515d7d5550346d46f8b493c/html5/thumbnails/10.jpg' width='140' height='200' /> Concrete

Page 11 <img data-url='document/382002-friday-toughness-fracture-modes-stress-field-around-crack-tip.html?page=11' data-page='11' class='cut-thumb lazyload' alt='Page 11: 3/8/2002, Friday Toughness. Fracture Modes Stress Field Around Crack Tip.' loading='lazy' src='data:image/gif;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAADUlEQVR42mNk+P+/HgAFhAJ/wlseKgAAAABJRU5ErkJggg==' data-src='https://reader036.cupdf.com/reader036/viewer/2022062303/5515d7d5550346d46f8b493c/html5/thumbnails/11.jpg' width='140' height='200' /> Polymer Fracture - Craze

Page 12 <img data-url='document/382002-friday-toughness-fracture-modes-stress-field-around-crack-tip.html?page=12' data-page='12' class='cut-thumb lazyload' alt='Page 12: 3/8/2002, Friday Toughness. Fracture Modes Stress Field Around Crack Tip.' loading='lazy' src='data:image/gif;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAADUlEQVR42mNk+P+/HgAFhAJ/wlseKgAAAABJRU5ErkJggg==' data-src='https://reader036.cupdf.com/reader036/viewer/2022062303/5515d7d5550346d46f8b493c/html5/thumbnails/12.jpg' width='140' height='200' /> Polymer Yielding

Page 13 <img data-url='document/382002-friday-toughness-fracture-modes-stress-field-around-crack-tip.html?page=13' data-page='13' class='cut-thumb lazyload' alt='Page 13: 3/8/2002, Friday Toughness. Fracture Modes Stress Field Around Crack Tip.' loading='lazy' src='data:image/gif;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAADUlEQVR42mNk+P+/HgAFhAJ/wlseKgAAAABJRU5ErkJggg==' data-src='https://reader036.cupdf.com/reader036/viewer/2022062303/5515d7d5550346d46f8b493c/html5/thumbnails/13.jpg' width='140' height='200' /> Atomistic fracture pattern at different loading rate

Low strain rate High strain rate

dislocation cleavage

H. Tan and W. Yang, Acta Mechanica Sinica

co-existence of dislocationsand cleavage embryo

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Page 15 <img data-url='document/382002-friday-toughness-fracture-modes-stress-field-around-crack-tip.html?page=15' data-page='15' class='cut-thumb lazyload' alt='Page 15: 3/8/2002, Friday Toughness. Fracture Modes Stress Field Around Crack Tip.' loading='lazy' src='data:image/gif;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAADUlEQVR42mNk+P+/HgAFhAJ/wlseKgAAAABJRU5ErkJggg==' data-src='https://reader036.cupdf.com/reader036/viewer/2022062303/5515d7d5550346d46f8b493c/html5/thumbnails/15.jpg' width='140' height='200' /> Stress-Strain Curve