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Online First
Analysis of Crack Stresses And Its Application to Problems of Orogen Mechanics
Volume: 85
Series:
Abstract:
The plain problem of the theory of elasticity, concerning the influence of shear crack on stresses and displacements on the cylindrical hole boundary and in its vicinity, as well as the influence of the cylindrical hole on the stress intensity factors at crack tips, are considered. Obtained formulae allow to calculate stresses and displacements in arbitrary point of the medium, when knowing the hole-crack geometry as well as the external stress field. In the last part of the work the problem of determination of stresses and displacements outside the cylindrical hole, basing on the measurements of these values on the hole boundary, is considered.
CONTENTS
Introduction, ...3
I. Basic equation of the problem potentials, ...5
II. Solution of the basic equation, ...16
III. Stresses and displacements, ...20
IV. Limit cases. Influence of some types of excavations support on the distribution of stresses and displacements, ...24
V. Influence of the circle on the stress intensity coefficients at the crack ends, ...32
VI. Determination of stress and displacements in the area outside a round excavation pit, basing on measurements of values in question at excavation boundary, ...38
VII. Numerical examples, ...46
Conclusions, ...55
Set of used programs, ...59
Program A, ...60
Program B, ...64
Program C, ...68
Program D, ...70
Program E, ...75
References, ...78
Streszczenie, ...79