Surface displacements due to an underground explosion

1966 ◽  
Vol 56 (4) ◽  
pp. 877-888
Author(s):  
G. N. Bycroft
Keyword(s):  
Steady State ◽  
Point Source ◽  
Spherical Cavity ◽  
Nuclear Explosion ◽  
Elastic Half Space ◽  
Underground Explosion ◽  
Maximum Displacement ◽  
Surface Displacements ◽  
State Point ◽  
Transient Case

abstract A simple solution to the problem of the surface displacements on an elastic half-space caused by an underground explosion is presented. The analysis is based on deriving the transient case for a point source from the steady state point source and then proceeding to the case of a finite spherical cavity by means of a retarded potential. Theoretical values of maximum displacement compare favorably with measured values from the underground test shot Rainier, a nuclear explosion of Operation Plumbob.

Dynamic response of an elastic half-space to time-dependent surface tractions over an embedded spherical cavity

1965 ◽  
Vol 287 (1411) ◽  
pp. 549-567 ◽  
Keyword(s):  
General Solution ◽  
Point Source ◽  
Half Space ◽  
Dynamic Problem ◽  
Spherical Cavity ◽  
Elastic Half Space ◽  
Time Dependent ◽  
Successive Approximations ◽  
Method Of Successive Approximations ◽  
Limit Case

The dynamic problem of the deformation of a homogeneous, perfectly elastic and isotropic half space due to harmonically time-dependent tractions over the boundary of an embedded spherical cavity is discussed. The solution is developed completely and rigorously by a method of successive approximations. Lamb’s solution for a point source in a half-space is derived as a limit case of the general solution. The problem is suggested by its applications in the theory of underground explosions and in seismology.

Dynamic response of an elastic half-space to time-dependent surface tractions over an embedded spherical cavity. II

1967 ◽  
Vol 300 (1461) ◽  
pp. 159-186
Keyword(s):  
Half Space ◽  
Spherical Cavity ◽  
Elastic Half Space ◽  
Body Waves ◽  
Time Dependent ◽  
Plane Boundary ◽  
Cavity Surface ◽  
Surface Displacements ◽  
Approximate Expressions ◽  
General Time

The general solution for the wave propagation in an elastic half-space containing a spherical cavity obtained in an earlier paper is worked out in detail in the case of a compressional force of excitation over the cavity surface. Explicit approximate expressions are derived for the displacements due to the direct and the reflected body waves as far as terms representing waves arising from not more than three reflexions. As an example of more general time-dependence, the case of an exponentially decaying shock exciting the cavity surface is discussed and the results are illustrated by graphs showing the variation of the surface displacements at three selected points of the plane boundary.

Steady-State Point-Source Excitation of a Laminated Composite

1983 ◽  
Vol 50 (1) ◽  
pp. 165-168
Author(s):  
G. S. Beaupre ◽  
G. Herrmann
Keyword(s):  
Steady State ◽  
Point Source ◽  
Group Velocity ◽  
Laminated Composite ◽  
Periodic Excitation ◽  
Geometric Optics ◽  
Antiplane Strain ◽  
State Point ◽  
Elastic Composite ◽  
Source Excitation

Steady-state periodic excitation at a point of an extended, periodically laminated, elastic composite is considered in antiplane strain. The curves of constant phase are determined in the geometric optics approximation. The associated distribution of group velocity is also calculated.

Steady-state point-defect diffusion profiles in solids during irradiation

1974 ◽  
Vol 23 (1) ◽  
pp. 53-59 ◽  
Author(s):  
Nghi Q. Lam ◽  
Steven J. Rothman ◽  
Rudolf Sizmanns
Keyword(s):  
Steady State ◽  
Point Defect ◽  
Defect Diffusion ◽  
State Point ◽  
Diffusion Profiles

scholarly journals Transient Excitation of an Elastic Half Space by a Point Load Traveling on the Surface

1969 ◽  
Vol 36 (3) ◽  
pp. 505-515 ◽  
Author(s):  
D. C. Gakenheimer ◽  
J. Miklowitz
Keyword(s):  
Exact Solution ◽  
Free Surface ◽  
Steady State ◽  
Wave Front ◽  
Half Space ◽  
Displacement Field ◽  
Elastic Half Space ◽  
Point Load ◽  
Limit Case ◽  
Transient Waves

The propagation of transient waves in a homogeneous, isotropic, linearly elastic half space excited by a traveling normal point load is investigated. The load is suddenly applied and then it moves rectilinearly at a constant speed along the free surface. The displacements are derived for the interior of the half space and for all load speeds. Wave-front expansions are obtained from the exact solution, in addition to results pertaining to the steady-state displacement field. The limit case of zero load speed is considered, yielding new results for Lamb’s point load problem.

scholarly journals IBEM Simulation of Seismic Wave Scattering by a 3D Tunnel Mountain

2021 ◽  
Vol 2021 ◽  
pp. 1-23
Author(s):  
Ping-Lin Jiang ◽  
Hua Jiang ◽  
Yu-Sheng Jiang ◽  
Dai Wang ◽  
Nan Li ◽  
...  
Keyword(s):  
Spatial Distribution ◽  
Seismic Wave ◽  
Wave Scattering ◽  
Surface Displacement ◽  
Elastic Half Space ◽  
P Wave ◽  
Severe Damage ◽  
Surface Displacements ◽  
Seismic Wave Scattering ◽  
The One

The seismic wave scattering by a 3D tunnel mountain is investigated by the indirect boundary element method (IBEM). Without loss of generality, the 3D physical model of hemispherical tunnel mountain in an elastic half-space is established, and the influence of the incidence frequency and angle of P or SV wave on the mountain surface displacements is mainly examined. It is shown that there exists quite a difference between the spatial distribution of displacement amplitude under the incident P wave and the one under SV wave and that the incidence frequency and angle of wave, especially the existence of tunnel excavated in the mountain, have a great effect on the surface displacements of mountain; the presence of the tunnel in the mountain may cause the greater amplification of surface displacement, which is unfavorable to the mountain projects. In addition, it should be noted that the tunnel may suffer the more severe damage under the incident SV wave.

Axisymmetric Thermal Stresses in a Spherical Shell of Arbitrary Thickness

1957 ◽  
Vol 24 (3) ◽  
pp. 376-380
Author(s):  
E. L. McDowell ◽  
E. Sternberg
Keyword(s):  
Steady State ◽  
Spherical Shell ◽  
Spherical Cavity ◽  
Series Solution ◽  
Thermal Stresses ◽  
Solid Sphere ◽  
Theory Of Elasticity ◽  
Infinite Medium ◽  
Series Solutions ◽  
Arbitrary Thickness

Abstract This paper contains an explicit series solution, exact within the classical theory of elasticity, for the steady-state thermal stresses and displacements induced in a spherical shell by an arbitrary axisymmetric distribution of surface temperatures. The corresponding solutions for a solid sphere and for a spherical cavity in an infinite medium are obtained as limiting cases. The convergence of the series solutions obtained is discussed. Numerical results are presented appropriate to a solid sphere if two hemispherical caps of its boundary are maintained at distinct uniform temperatures.

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