Diffraction of a Pressure Wave by a Cylindrical Cavity in an Elastic Medium

Baron, Melvin L.; Matthews, A. T.

doi:10.1115/1.3641710

Cited by 74 publications

(32 citation statements)

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“…The degree of stress concentration at the cavity walls has been investigated extensively (Baron et al, 1960;Baron and Parnes, 1961). Fortunately, the stress concentration during passage of a stress wave is only about 11o greater than the stress concentration in a static stress field.…”

Section: Soil-structure Interaction With Directly Induced Stress Wavesmentioning

confidence: 99%

The Response of Soils to Dynamic Loadings; Report 26, Final Report

Whitman¹

1970

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In 1967, the uriter was very concerned about an apparent trend toward developing ever more complex computer codes while failing to use existing computer codes to understand important cause and effect relations and to ascertain the effect of uncertainties in the input on the nature of the computed results. The emphasis of Chapter 2, and many of the specific comments, reflected this concern. The writer quite frankly felt that the comrn puter code development, as it was apparently being followed, was largely an academic exercise, that quite likely it would be impossible to rely on the codes for design predictions, aid that designs would still have to be based on very simple prediction equations together with a large dose of judgment.The writer has been "out of the business" since 1967, but from various conversations it appears that he may have been wrong in his assessment of the trends in computer code development and utilization. Apparently there has developed a close cooperation between experienced soil engineers and the developers and users of complex computer codes. Apparently there is also now a recognition of the need to make, in connection with specific design projects and field experiments, a series of computer runs so as to bracket the effect of uncertainties in the input and assumptions.If these statements do reflect the current situation, then some of the statements in this report may happily be out-of-date.However, the writer still does bvlieve in the necessity of developing improved but simple and approximate prediction techniques which do not re-

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Section: Soil-structure Interaction With Directly Induced Stress Wavesmentioning

confidence: 99%

The Response of Soils to Dynamic Loadings; Report 26, Final Report

Whitman¹

1970

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“…both at any point within the plane model and at the interface between the medium and the obtacle, which supplemented the results of investigations [15][16][17][18][19] on radial arr and tangential aoA stresses at the contact surfaces of an obstacle. A study of shear stresses is evidently of independent interest because the in-situ strength of a rock at the site of an obstacle in a state of complex stress may be determined by its shear strength.…”

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confidence: 73%

Simulation of stress wave diffraction by various obstacles in a continuous medium

Strel'chuk¹,

Slavin²,

Shaposhnikov³

1971

Soviet Mining Science

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The diffraction of elastic waves by various obstacles (cavities, cylindrical linings, solid inclusions) in continuous media is of marked theoretical and practical interest. When tunnels are driven by blasting, one is faced with the necessity of investigating the dynamic reaction of hydraulic engineering, transport, and other tunnels during their interaction with the shock wave.s.The difficulties of theoretical approaches [1-3] to such problems make it necessary to use experimental procedures, for example in studying the dynamic stress concentration at obstacles of various characters and forms. Such problems are simulated [4][5][6] by the method of dynamic photoelasticity [7,8], which enables one to observe and record the diffraction wave stress fields which arise in the vicinity of the obstacle throughout the period of interaction. Using the dynamic photoelasticity method, we have investigated the following problem experimentally. A direct compression wave (P wave) strikes an obstacle and begins to interact with it at a fixed moment of time t= 0. We examined three alternative types (in terms of boundary conditions) of circular cylindrical obstacles ( A complete solution to the problem of dynamic stress concentration presupposes an investigation of the effects of all its governing parameters throughout the practically important range as far as establishment of self-similar regions of change of their numerical values. In the case of a plane-wave approximation of the solution, the parameters R/r and r/X, respectively characterizing the curvature of the incident wave front and the relative distance from the source of perturbation, are eliminated from the analysis. Thus the governing parameters of the solution of (1) reflect the geometrical and physical aspects of this problem as well as the dimensionless time of the diffraction process.For these types of obstacles (see Fig. 1), (1) breaks down into three particular cases:

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“…Stress concentrations are obtained in reference 30 for harmonic dilatational wave trains as functions of wavelength and Poisson's ratio. References 27,28, and 29 consider the response of cylindrical cavities for transient compression pulses and generate influence functions which are subsequently used in obtaining the response of a cylindrical shell used as a cavity liner (Ref. 32 and 33).…”

Section: Iit Research Institutementioning

confidence: 99%

Theoretical Investigation of Loads on Buried Structures. Volume I. Results of Discussion.

Robinson¹

1978

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Diffraction of a Pressure Wave by a Cylindrical Cavity in an Elastic Medium

Cited by 74 publications

References 0 publications

The Response of Soils to Dynamic Loadings; Report 26, Final Report

The Response of Soils to Dynamic Loadings; Report 26, Final Report

Simulation of stress wave diffraction by various obstacles in a continuous medium

Theoretical Investigation of Loads on Buried Structures. Volume I. Results of Discussion.

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