A continuum framework for mechanics of fractal materials II: elastic stress fields ahead of cracks in a fractal medium

被引：15

作者：

Balankin, Alexander S. ^{[1
]}

机构：

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

来源：

EUROPEAN PHYSICAL JOURNAL B | 2015年 / 88卷 / 04期

关键词：

SELF-AFFINE CRACKS; STRENGTH;

D O I：

10.1140/epjb/e2015-50703-8

中图分类号：

O469 [凝聚态物理学];

学科分类号：

070205 ;

摘要：

This paper is devoted to the crack mechanics in heterogeneous materials with fractal (micro-)structures. Specifically, stress concentrations ahead of straight notches and self-affine cracks in fractal media are studied within a fractal continuum framework. A model of fractal continuum with fractal boundaries accounting for the metric, topological, and connectivity properties of the material microstructure and crack is employed for homogenization of crack problems in fractal media. It is found that the fractal nature of material heterogeneity can either delay or assist the crack initiation and propagation, depending on the interplay between metric and topological properties of the fractal domain.

引用

页数：6

共 29 条

[1]

Anderson T.L., 2005, Fracture Mechanics: Fundamentals and Applications, V3rd, DOI [10.1201/9781420058215, DOI 10.1201/9781420058215]

[2] Nonuniversality of roughness exponent of quasistatic fracture surfaces [J].

Ansari-Rad, Mehdi ;

Allaei, S. Mehdi Vaez ;

Sahimi, Muhammad .

PHYSICAL REVIEW E, 2012, 85 (02)

[3] A continuum framework for mechanics of fractal materials I: from fractional space to continuum with fractal metric [J].

Balankin, Alexander S. .

EUROPEAN PHYSICAL JOURNAL B, 2015, 88 (04)

[4] Stress concentration and size effect in fracture of notched heterogeneous material [J].

Balankin, Alexander S. ;

Susarrey, Orlando ;

Mora Santos, Carlos A. ;

Patino, Julian ;

Yoguez, Amalia ;

Garcia, Edgar I. .

PHYSICAL REVIEW E, 2011, 83 (01)

[5] Physics of fracture and mechanics of self-affine cracks [J].

Balankin, AS .

ENGINEERING FRACTURE MECHANICS, 1997, 57 (2-3) :135-203

[6] Probabilistic mechanics of self-affine cracks in paper sheets [J].

Balankin, AS ;

Hernandez, LH ;

Urriolagoitia, G ;

Susarrey, O ;

González, JM ;

Martinez, J .

PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 1999, 455 (1987) :2565-2575

[7] Is the cause of size effect on structural strength fractal or energetic-statistical? [J].

Bazant, ZP ;

Yavari, A .

ENGINEERING FRACTURE MECHANICS, 2005, 72 (01) :1-31

[8] Scaling properties of cracks [J].

Bouchaud, E .

JOURNAL OF PHYSICS-CONDENSED MATTER, 1997, 9 (21) :4319-4344

[9] Embrittlement and decrease of apparent strength in large-sized concrete structures [J].

Carpinteri, A ;

Chiaia, B .

SADHANA-ACADEMY PROCEEDINGS IN ENGINEERING SCIENCES, 2002, 27 (4) :425-448

[10] FRACTAL FRACTURE-MECHANICS - A REVIEW [J].

CHEREPANOV, GP ;

BALANKIN, AS ;

IVANOVA, VS .

ENGINEERING FRACTURE MECHANICS, 1995, 51 (06) :997-1033

← 1 2 3 →