Stresses and strains in a deformable fractal medium and in its fractal continuum model

被引：37

作者：

Balankin, Alexander S. ^{[1
]}

机构：

[1] Inst Politecn Nacl, ESIME Zacatenco, Grp Mecan Fractal, Mexico City 07738, DF, Mexico

来源：

PHYSICS LETTERS A | 2013年 / 377卷 / 38期

关键词：

Fractal materials; Fractal continuum mechanics; Constitutive equations; COVARIANT BALANCE LAWS; SELF-AFFINE CRACKS; MECHANICS; SOLIDS; DIFFUSION; ELASTICITY; EQUATIONS; DIMENSION; STRENGTH; GEOMETRY;

D O I：

10.1016/j.physleta.2013.07.029

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The model of fractal continuum accounting the topological, metric, and dynamic properties of deformable physical fractal medium is suggested. The kinematics of fractal continuum deformation is developed. The corresponding geometric interpretations are provided. The concept of stresses in the fractal continuum is defined. The conservation of linear and angular momentums is established. The mapping of mechanical problems for physical fractal media into the corresponding problems for fractal continuum is discussed. (C) 2013 Published by Elsevier B.V.

引用

页码：2535 / 2541

页数：7

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