Die Entspannungswelle bei plötzlichem Einschnitt eines gespannten elastischen Körpers

Maue, A. W.

doi:10.1002/zamm.19540340102

Cited by 46 publications

(17 citation statements)

References 2 publications

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“…6 by an additional circle around the station location. There is doubt concerning the output of station 11 for the 1971 May earthquakes, which show exceedingly high amplitude as compared Discussion (a) Distant and regional earthquakes Maue (1954) has investigated (two-dimensionally) the motion of relaxation that occurs when an elastic medium under tension (in y direction) is suddenly cut open from one side, perpendicular to the tension axis (along x < 0, y = 0). The plane compressional wave corresponding to a step is the strain zyy at the shockfront, and the amplitude is such that the initial tension is compensated.…”

Section: E Berg and W Lutschakmentioning

confidence: 99%

Crustal Tilt Fields and Propagation Velocities Associated with Earthquakes†

Berg¹,

Lutschak²

2009

Geophysical Journal of the Royal Astronomical Society

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Tilt steps similar to strain steps have been observed for earthquakes with magnitudes ranging from 2 to 8 and distances ranging from 10 to 12 O00 km. Tilt-step propagation velocities from the hypocentre to the station of 1-2-3.8 kms-1 have been observed in addition to those corresponding to the arrival time of teleseismic S waves. Tilt directions, amplitudes, and velocities observed at several stations simultaneously for the same earthquake are internally consistent and are likely to depend on the tectonic environment of the station in addition to the focal mechanism. The low velocity of 1-2 kms-1 is consistent with plastic-wave propagation. Other velocities are close to the Rayleigh wave short-period group velocity over continental paths.Theoretical tilt amplitudes for fixed epicentral distance, focal depth, and stress system depend logarithmically on the magnitude, with a possible cut-off. However, observed tilt amplitudes are too large when compared to existing theoretical dislocation models for a single-layered homogeneous isotropic elastic crust. Alternative solutions in terms of more realistic crustal layering and including plastic deformation under preexisting tectonic stress probably could account for a number of observations.

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Section: E Berg and W Lutschakmentioning

confidence: 99%

Crustal Tilt Fields and Propagation Velocities Associated with Earthquakes†

Berg¹,

Lutschak²

2009

Geophysical Journal of the Royal Astronomical Society

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“…From an engineering viewpoint, obtaining the associated dynamic stress intensity factors is of great interest. The first transient problem was solved for a semi-infinite crack in an infinite medium by use of the Wiener-Hopf method (Maue, 1954). Subsequently, De Hoop (1958) solved similar problems using the Wiener-Hopf method and the Cagniard method.…”

Section: Introductionmentioning

confidence: 99%

Dynamic stress intensity factors around a cylindrical crack in an infinite elastic medium subject to impact load

Itou

2007

International Journal of Solids and Structures

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This paper investigates transient stresses around a cylindrical crack in an infinite elastic medium subject to impact loads. Incoming stress waves resulting from the impact load impinge on the crack in a direction perpendicular to the crack axis. In the Laplace transform domain, by means of the Fourier transform technique, the mixed boundary value equations with respect to stresses and displacements were reduced to two sets of dual integral equations. To solve the equations, the differences in the crack surface displacements were expanded in a series of functions that are zero outside the crack. The boundary conditions for the crack were satisfied by means of the Schmidt method. Stress intensity factors were defined in the Laplace transform domain and were numerically inverted to physical space. Numerical calculations were carried out for the dynamic stress intensity factors corresponding to some typical shapes assumed for the cylindrical crack.

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“…In the first category scattering problems of plane elastic waves coming from infinity and scattered by cracks are studied by the following investigators: Maue [1], Sih and Loeber [2,3], Mal [4], Thau [5,6-1, Jain and Kanwal [7] and Itou [8], Angel and Achenbach [9], Gross and Zhang [10], Zhang and Achenbach [11] and so on. Problems of dynamic response of cracks to uniform tractions suddenly applied on their surfaces belong to the second category and are investigated by the following authors: Maue [12] and DeHoop [13], Ravera and Sih [14] and Sih et al Chen [17], Itou Tai and Li [ 19-1, etc. From the published literature it is seen that the study on elastodynamic response of cracks appears to be confined within the scope of plane incident waves or uniform impact tractions. When an elastic medium is stressed by some transient concentrated forces, a curved wave front will be generated to impinge cracks.…”

Section: Introductionmentioning

confidence: 99%

Dynamic mode II stress intensity factors of an infinite cracked medium subjected to transient concentrated forces

Chen

Zhang

1992

Int J Fract

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In this article the determination of dynamic mode II stress intensity factors of a crack embedded in an infinite medium subjected to transient concentrated line forces is investigated. The concentrated line forces act at an arbitrary distance away from the crack, including the special case when the forces act precisely on the crack surfaces. Laplace and Fourier transforms are used to reduce the mixed boundary value problem to a standard Fredholm integral equation of the second kind in Laplace transform domain, which is solved numerically. Via the numerical inversion of Laplace transform, the dynamic mode II stress intensity factors at the crack tips are obtained and presented in graphical form for various geometry parameters. It is found that the point of application of the concentrated forces, which induce the maximum value of the dynamic mode II stress intensity factors, is precisely on the crack surface for horizontal concentrated forces, whereas for vertical forces, it is at some distance away from the crack.

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Die Entspannungswelle bei plötzlichem Einschnitt eines gespannten elastischen Körpers

Cited by 46 publications

References 2 publications

Crustal Tilt Fields and Propagation Velocities Associated with Earthquakes†

Crustal Tilt Fields and Propagation Velocities Associated with Earthquakes†

Dynamic stress intensity factors around a cylindrical crack in an infinite elastic medium subject to impact load

Dynamic mode II stress intensity factors of an infinite cracked medium subjected to transient concentrated forces

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