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

[1]

ADAMOVIC J, 2006, VISUAL GEOSCI, V11, P72

[2] CRACK PATHS IN PLANE SITUATIONS .2. DETAILED FORM OF THE EXPANSION OF THE STRESS INTENSITY FACTORS [J].

AMESTOY, M ;

LEBLOND, JB .

INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES, 1992, 29 (04) :465-501

[3] THERMAL-SHOCK CRACK PATTERNS EXPLAINED BY SINGLE AND MULTIPLE CRACK-PROPAGATION [J].

BAHR, HA ;

FISCHER, G ;

WEISS, HJ .

JOURNAL OF MATERIALS SCIENCE, 1986, 21 (08) :2716-2720

[4] 1-D DETERMINISTIC CRACK PATTERN-FORMATION AS A GROWTH-PROCESS WITH RESTRICTIONS [J].

BAHR, HA ;

BAHR, U ;

PETZOLD, A .

EUROPHYSICS LETTERS, 1992, 19 (06) :485-490

[5]

BAHR HA, UNPUB

[6] STABILITY AND POST-CRITICAL GROWTH OF A SYSTEM OF COOLING OR SHRINKAGE CRACKS [J].

BAZANT, ZP ;

OHTSUBO, H ;

AOH, K .

INTERNATIONAL JOURNAL OF FRACTURE, 1979, 15 (05) :443-456

[7] Self-driven propagation of crack arrays: A stationary two-dimensional model [J].

Boeck, T ;

Bahr, HA ;

Lampenscherf, S ;

Bahr, U .

PHYSICAL REVIEW E, 1999, 59 (02) :1408-1416

[8] MODELING THE EVOLUTION OF COLUMNAR JOINTS [J].

BUDKEWITSCH, P ;

ROBIN, PY .

JOURNAL OF VOLCANOLOGY AND GEOTHERMAL RESEARCH, 1994, 59 (03) :219-239

[9] EFFECT OF THERMAL REGIME ON GROWTH INCREMENT AND SPACING OF CONTRACTION JOINTS IN BASALTIC LAVA [J].

DEGRAFF, JM ;

AYDIN, A .

JOURNAL OF GEOPHYSICAL RESEARCH-SOLID EARTH, 1993, 98 (B4) :6411-6430

[10]

FISCHER G, 2005, COMPUTER TOMOG UNPUB

← 1 2 3 4 5 →