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Spacing of Cracks in Reinforced Concrete

Journal of Structural Engineering, 1983
The spacing and width of cracks in a parallel crack system is approximately analyzed using the energy criterion of fracture mechanics as well as the strength criterion. The energy criterion indicates that the crack spacing is a function of the axial strain of the bars and also depends on bar spacing, bar diameter, fracture energy of concrete, and its ...
Zdeněk P. Bažant, Byung H. Oh
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Annular crack in a thermoelastic half-space

Journal of Thermal Stresses, 2020
The purpose of this article is to analytically investigate the three-dimensional thermoelastic fields in a semi-infinite medium weakened by an annular crack.
B. Kebli, Z. Baka
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Interaction of a crack and in inclusion in a piezoceramic half-space

Soviet Applied Mechanics, 1983
The mechanics of fracture of piezoceramic materials with cracks was examined in [3]. The authors also solved a problem with rectilinear tunnel-like cracks at a boundary with a conductor. The formulation of correct boundary conditions on the edges of cracks in a piezoceramic medium was discussed in [6].
Ivanenko, O. A., Fil'shtinskij, L. A.
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Crack Width and Crack Spacing In Reinforced Concrete Members

ACI Journal Proceedings, 1965
A SIMPLE METHOD IS DEVELOPED FOR CALUCLATION OF CRACK WIDTH AND CRACK SPACING IN REINFORCED CONCRETE MEMBERS. THE CRACK WIDTHS DETERMINED BY THIS METHOD WERE COMPARED WITH TEST DATA OBTAINED FROM FLEXURAL AND TENSILE MEMBERS REINFORCED WITH ONE BAR. THE SHAPE OF THE MAIN CRACKS WAS INVESTIGATED BY MEANS OF SHORT TENSION MEMBERS OF A LENGTH EQUAL TO THE
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Between the Cracks: Filling Space with Polygonal Shapes

The American Mathematical Monthly, 2020
A proof is given, for a large class of polygons, of a conjecture of Shier concerning his algorithm for the disjoint but otherwise random placement of successively smaller copies of an arbitrary sha...
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An elliptic crack in an elastic half-space

International Journal of Engineering Science, 1992
We consider the effect of the free surface on the stress distribution of an elliptic crack aligned parallel to the free boundary and at a depth \(h\) below it. The title problem is posed as a dual integral equation in Cartesian coordinate system. By suitable transformation the dual integral equation is first reduced to an infinite system of dual ...
Roy, A., Chatterjee, M.
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Instability and Spacing of Cooling or Shrinkage Cracks

Journal of the Engineering Mechanics Division, 1979
When a system of parallel equidistant cooling crack propagates into halfspace, it reaches at a certain depth a critical state at which the growth of every other crack is arrested. Later these cracks reach a second critical state at which they close. The intermediate cracks, at doubled spacing, open about twice as wide and advance further as cooling ...
Zdeněk P. Bažant, Abu bakr A. Wahab
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On Cracking That Nut, Absolute Space

Philosophy of Science, 1977
In his recent "The Identity of Indiscernibles," Ian Hacking writes approvingly of Leibniz's use of the Identity of Indiscernibles (I/I) "as a nutcracker to crush absolute space" ([3], p. 251). Hacking's point, often made in the literature, is that the familiar spatiotemporal examples, such as a universe consisting of only two otherwise identical ...
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Depth and spacing of tension cracks

Journal of Geophysical Research, 1961
Contraction cracks in basalt, permafrost, and mud, and crevasses in glaciers are examples of geological phenomena that might be studied by reference to a theoretical model of tension cracks in a semi-infinite solid. The effect of the crack in relieving stress at the ground surface bears on the problem of crack spacing, and the rate of energy ...
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Optimal spacing and penetration of cracks in a shrinking slab

Physical Review E, 2005
A method based on energy minimization is used to determine the spacing and penetration of a regular array of cracks in a slab that is shrinking due to a changing temperature field. The results show a range of different crack propagation behavior dependent on a single dimensionless parameter, being the ratio of the slab thickness and a characteristic ...
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