FRACTAL DIMENSIONALITY AND CRITICAL EXTENSION FORCE
DONG Lianke;WANG Xiaowei Institute of Metal Research; International Centre of Material Physics; Academia Sinica; Shenyang associate professor;Institute of Metal Research;Academia Sinica; Shenyang 110015
Cite this article:
DONG Lianke;WANG Xiaowei Institute of Metal Research; International Centre of Material Physics; Academia Sinica; Shenyang associate professor;Institute of Metal Research;Academia Sinica; Shenyang 110015. FRACTAL DIMENSIONALITY AND CRITICAL EXTENSION FORCE. Acta Metall Sin, 1990, 26(2): 69-73.
Abstract Using gauge field theory of defects, the effective critical extensionforce in elastic-plastic fracture mechanics was given. The rationality of logarithmof effective critical extension force as a linear function of the fractal dimensionali-ty of the fracture was analyzed in theory. The explanation in approach to studyingmaterial toughness using the fractal has been clarified.
1 Lung C W (龙期威). In: Pietronero L, Tosatti E eds., Fractals in Physics, North-Holland, Amsterdan, 1986; 187 2 Mandelbrot B B, Passoja D E, Paullay A J. Nature, 1984; 308: 721 3 Pande C S, Richards L E, Louat N, Dempsey B D, Schwoeble A J. Acta Metall, 1987; 35: 1633 4 穆在勤,龙期威.金属学报,1988;24:A142 5 Lung C W (龙期威), Mu Z Q (穆在勤). Phys Rev, B, 1988; 38: 11781 6 Dong L K (董连科), Zhang H Y (张洪延), Lung C W (龙期威). Int J Solids Struct, 1989; 25 (7) : 707 7 Cottrell A H. Trans AIME, 1958; 212: 192