Are scaling laws on strength of solids related to mechanics or to geometry?

被引：150

作者：

Carpinteri, A ^{[1
]}

Pugno, N ^{[1
]}

机构：

[1] Politecn Torino, Dept Struct Engn & Geotechn, I-10129 Turin, Italy

来源：

NATURE MATERIALS | 2005年 / 4卷 / 06期

关键词：

D O I：

10.1038/nmat1408

中图分类号：

O64 [物理化学（理论化学）、化学物理学];

学科分类号：

070304 ; 081704 ;

摘要：

Arguments related to the dependence of the strength of solids on mechanics or to the geometry of material are discussed. Scaling laws on the strength of solids usually ignore geometry and are studied by applying mechanics, fracture mechanics for elasto-brittle materials or strain-gradient plasticity for elasto-plastic materials. It is shown that scaling laws are connected to the geometrical and multiscale character of the domain in which the energy exchange occurs. It was found that energy dissipation take place not over a euclidean domain but on a fractal domain, which is always included within euclidean surfaces and volumes.

引用

页码：421 / 423

页数：3

共 13 条

[1]

Baant Z. P., 2002, SCALING STRUCTURAL S

[2] One, two, and three-dimensional universal laws for fragmentation due to impact and explosion [J].

Carpinteri, A ;

Pugno, N .

JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME, 2002, 69 (06) :854-856

[3] Scale-effects on mean and standard deviation of the mechanical properties of condensed matter: an energy-based unified approach [J].

Carpinteri, A ;

Pugno, N .

INTERNATIONAL JOURNAL OF FRACTURE, 2004, 128 (1-4) :253-261

[4] SCALING LAWS AND RENORMALIZATION-GROUPS FOR STRENGTH AND TOUGHNESS OF DISORDERED MATERIALS [J].

CARPINTERI, A .

INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES, 1994, 31 (03) :291-302

[5] Scaling of energy dissipation in crushing and fragmentation: a fractal and statistical analysis based on particle size distribution [J].

Carpinteri, A ;

Lacidogna, G ;

Pugno, N .

INTERNATIONAL JOURNAL OF FRACTURE, 2004, 129 (02) :131-139

[6]

Carpinteri A, 2004, ACOUSTIQUE TECHNIQUE, V38, P31

[7] Fractal dislocation patterning during plastic deformation [J].

Hahner, P ;

Bay, K ;

Zaiser, M .

PHYSICAL REVIEW LETTERS, 1998, 81 (12) :2470-2473

[8] HOW LONG IS COAST OF BRITAIN - STATISTICAL SELF-SIMILARITY AND FRACTIONAL DIMENSION [J].

MANDELBROT, B .

SCIENCE, 1967, 156 (3775) :636-+

[9] Indentation size effects in crystalline materials: A law for strain gradient plasticity [J].

Nix, WD ;

Gao, HJ .

JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS, 1998, 46 (03) :411-425

[10] Quantized fracture mechanics [J].

Pugno, NM ;

Ruoff, RS .

PHILOSOPHICAL MAGAZINE, 2004, 84 (27) :2829-2845

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