Diameter of basalt columns derived from fracture mechanics bifurcation analysis

被引：21

作者：

Bahr, H. -A. ^{[1
]}

Hofmann, M. ^{[1
]}

Weiss, H. -J. ^{[2
]}

Bahr, U. ^{[3
]}

Fischer, G. ^{[4
]}

Balke, H. ^{[1
]}

机构：

[1] Tech Univ Dresden, Inst Festkorpermechan, D-01062 Dresden, Germany

[2] Fraunhofer Inst Werkstoff & Strahltech, D-01277 Dresden, Germany

[3] Tech Univ Dresden, Inst Theoret Phys, D-01062 Dresden, Germany

[4] Univ Dortmund, Lehrstuhl Qualitatswesen, D-44227 Dortmund, Germany

来源：

PHYSICAL REVIEW E | 2009年 / 79卷 / 05期

关键词：

bifurcation; fracture mechanics; rocks; EXPERIMENTAL SIMULATION; UNSTABLE GROWTH; CRACK ARRAYS; STRESS; JOINTS; PATTERNS; PATHS;

D O I：

10.1103/PhysRevE.79.056103

中图分类号：

O35 [流体力学]; O53 [等离子体物理学];

学科分类号：

070204 ; 080103 ; 080704 ;

摘要：

The diameter of columnar joints forming in cooling basalt and drying starch increases with decreasing growth rate. This observation can be reproduced with a linear-elastic three-dimensional fracture mechanics bifurcation analysis, which has been done for a periodic array of hexagonal columnar joints by considering a bifurcation mode compatible with observations on drying starch. In order to be applicable to basalt columns, the analysis has been carried out with simplified stationary temperature fields. The critical diameter differs from the one derived with a two-dimensional model by a mere factor of 1/2. By taking into account the latent heat released at the solidification front, the results agree fairly well with observed column diameters.

引用

页数：9

共 41 条

[11] Columnar structure in sandstone walls of a glass furnace [J].

French, JW .

NATURE, 1922, 109 :274-274

[12] Order and disorder in columnar joints [J].

Goehring, L ;

Morris, SW .

EUROPHYSICS LETTERS, 2005, 69 (05) :739-745

[13] Experimental investigation of the scaling of columnar joints [J].

Goehring, Lucas ;

Morris, Stephen W. ;

Lin, Zhenquan .

PHYSICAL REVIEW E, 2006, 74 (03)

[14] Scaling of columnar joints in basalt [J].

Goehring, Lucas ;

Morris, Stephen W. .

JOURNAL OF GEOPHYSICAL RESEARCH-SOLID EARTH, 2008, 113 (B10)

[15] SOLIDIFICATION IN KILAUEA-IKI LAVA LAKE [J].

HARDEE, HC .

JOURNAL OF VOLCANOLOGY AND GEOTHERMAL RESEARCH, 1980, 7 (3-4) :211-223

[16] Self-driven tunneling crack arrays - a 3D-fracture mechanics bifurcation analysis [J].

Hofmann, M. ;

Bahr, H. A. ;

Linse, T. ;

Bahr, U. ;

Balke, H. ;

Weiss, H. J. .

INTERNATIONAL JOURNAL OF FRACTURE, 2006, 141 (3-4) :345-356

[17] Sequential fragmentation: The origin of columnar quasihexagonal patterns [J].

Jagla, EA ;

Rojo, AG .

PHYSICAL REVIEW E, 2002, 65 (02) :1-026203

[18] Maturation of crack patterns [J].

Jagla, EA .

PHYSICAL REVIEW E, 2004, 69 (05) :6

[19]

Jagla EA, 2002, PHYS REV E, V65, DOI 10.1103/PhysRevE.65.046147

[20] Optimal spacing and penetration of cracks in a shrinking slab [J].

Jenkins, DR .

PHYSICAL REVIEW E, 2005, 71 (05)

← 1 2 3 4 5 →