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Fracture initiation and stress wave diffraction at cracked interfaces in layered media I. brittle/brittle transition

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Fracture Initiation and Stress Wave Diffraction at Cracked Interfaces in Layered Media — I. Brittle/Brittle Transition

Stress wave scattering about the tips of stationary interface cracks at a brittle-brittle junction in a layered medium and the associated stress-wave induced fracture were investigated. Dynamic photoelasticity was employed to visualize the highly complex interaction process between stress waves and cracks. Methods of linear elastic fracture mechanics were used to analyze regions of high stress intensity as possible sources for crack initiation. The phenomenon of partial load transmission across closed crack walls and imperfect joints and its effect on fracture initiation was also studied.

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Abbreviations

c l :

longitudinal wave velocity in a plate\(\sqrt {{E \mathord{\left/ {\vphantom {E \varrho }} \right. \kern-\nulldelimiterspace} \varrho }\left( {1 - v^2 } \right)} \)

c s :

shear wave velocity\(\sqrt {{\mu \mathord{\left/ {\vphantom {\mu \varrho }} \right. \kern-\nulldelimiterspace} \varrho }} \)

h :

normal distance from explosion to interface

a :

crack length

b :

distance between tips of two adjacent cracks

f σ :

dynamic photoelastic-fringe constant

N :

photoelastic fringe order

σ 1,σ 2 :

principal normal stresses

τ m :

maximum shear stress

σ x ,σ y ,σ xy :

stress components in cartesian coordinates

σ r ,σ θ ,σ rθ :

stress components in polar coordinates

κ :

=ϱ c 1 acoustic impedance for plates

E :

Young's modulus

ϱ :

density

µ :

shear modulus

v :

Poisson's ratio

α p ,α s :

angles of incidence of longitudinal and shear waves

β r ,β s :

angles of reflection of longitudinal and shear waves

γ p ,γ s :

angles of refraction of longitudinal and shear waves

P :

longitudinal wave

S :

shear wave

R :

Rayleigh-wave

V :

von Schmidt wave (generated by grazing incidence ofP-wave)

r :

reflected wave

d :

diffracted wave

f :

refracted wave no subscript incident wave

I, II:

upper and lower half plane superscripts indicate the cracks tips

References

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Authors and Affiliations

  1. Institut für Mechanik, Technische Universität Wien, Karlsplatz 13, A-1040, Wien, Austria

    H. P. Rossmanith

  2. Department of Mechanical Engineering, University of Maryland, 20742, College Park, MD, USA

    W. L. Fourney

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  1. H. P. Rossmanith
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Rossmanith, H.P., Fourney, W.L. Fracture initiation and stress wave diffraction at cracked interfaces in layered media I. brittle/brittle transition. Rock Mechanics 14, 209–233 (1982). https://doi.org/10.1007/BF01596617

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