Van P, Papenfuss C, Muschik W
Department of Chemical Physics, Technical University of Budapest, Budafoki ut 8, 1521 Budapest, Hungary and Institut fur Mechanik, Institut fur Theoretische Physik, Technische Universitat Berlin, Strasse des 17. Juni, 10623 Berlin, Germany.
Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics. 2000 Nov;62(5 Pt A):6206-15. doi: 10.1103/physreve.62.6206.
The mesoscopic concept is applied to the description of microcracks. The balance equations of the cracked continuum result in mesoscopic directional balances of mass, momentum, angular momentum, and energy. Averaging over the length of the cracks gives the corresponding orientational balances. A further averaging process leads to the macroscopic balance equations of the microcracked continua. Dynamic equations for the fabric tensors of different order are derived using a multipole moment expansion of the orientational crack distribution function. The simple example of Griffith cracks is treated. The role of physical assumptions in the microcrack representations and the different macroscopic internal variable representations of microcracks are discussed.
介观概念被应用于微裂纹的描述。含裂纹连续体的平衡方程导致了质量、动量、角动量和能量的介观方向平衡。在裂纹长度上进行平均可得到相应的取向平衡。进一步的平均过程则得到微裂纹连续体的宏观平衡方程。利用取向裂纹分布函数的多极矩展开，推导了不同阶次结构张量的动力学方程。并处理了格里菲斯裂纹的简单例子。讨论了物理假设在微裂纹表征中的作用以及微裂纹的不同宏观内变量表征。
