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STATISTICAL INTERPRETATION ON THE RELATIONSHIP BETWEEN THE VOLUMETRIC AND SECTIONAL SIZE DISTRIBUTIONS OF DISORDERED MESO-STRUCTURES

BAI YI-LONG XIA MENG-FEN KE FU-JIU GUO WEN-HAI LING ZHONG

STATISTICAL INTERPRETATION ON THE RELATIONSHIP BETWEEN THE VOLUMETRIC AND SECTIONAL SIZE DISTRIBUTIONS OF DISORDERED MESO-STRUCTURES

BAI YI-LONG, XIA MENG-FEN, KE FU-JIU, GUO WEN-HAI, LING ZHONG
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  • Received Date:  18 March 1992
  • Published Online:  10 July 2005

STATISTICAL INTERPRETATION ON THE RELATIONSHIP BETWEEN THE VOLUMETRIC AND SECTIONAL SIZE DISTRIBUTIONS OF DISORDERED MESO-STRUCTURES

  • 1. (1)北京大学物理系,北京大学非线性科学中心,北京100871; (2)北京航空航天大学应用数理系,北京100083; (3)中国科学院力学研究所非线性连续介质力学开放实验室,北京100080

Abstract: In this paper the transformation between the volumetric and sectional size distribution of the disordered meso-structures is studied. An integral equation governing this transformation for the cases of spheres or parallel penny shaped cracks is derived. The statistical interpretation on the transformation equation is emphasized. Furthermore, the transformations for moments of distribution function and for fractal dimension are discussed.

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