Elastic Strain Produced by Sudden Application of Pressure to One End of a Cylindrical Bar. I. Theory

Folk, R.; Fox, George; Shook, C. A.; Curtis, C. W.

doi:10.1121/1.1909682

Cited by 74 publications

(12 citation statements)

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“…The elementary 1-D theory of wave propagation in bars, and also some more advanced theories that consider wave dispersion due to lateral inertia effects [1,2,3], do not tackle this problem. Rather they investigate wave propagation at large distances from the bar end [4].…”

Section: Introductionmentioning

confidence: 99%

Displacement correction for punching at a dynamically loaded bar end

Safa

Gary

2010

International Journal of Impact Engineering

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Abstract:The object of this work is to provide a 3-D displacement correction for local punching due to axial load at the end of a bar. For this purpose, an analytical calculation of the indentation at the end of an elastic isotropic bar subjected to a dynamic loading is carried out. It provides a first-order correction of the displacement obtained through the 1-D wave analysis commonly used in SHPB processing.

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Section: Introductionmentioning

confidence: 99%

Displacement correction for punching at a dynamically loaded bar end

Safa

Gary

2010

International Journal of Impact Engineering

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“…It should be noted that for each value of x/t, k" is double valued. Associated with the lower values are the low frequency modes, which are of large amplitude, while the higher values yield the low amplitude high frequency modes [15]. For the low frequency modes (iZ2<a/d02) is rather small and therefore a third order solution is required, while for the high frequency modes ((ViQ/d.&2) is "sufficiently large", and the second order solutions suffice.…”

Section: X)/;mentioning

confidence: 99%

Expanding axial wave on a submerged cylindrical shell

Fang¹,

Klosner²

1970

Quart. Appl. Math.

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Abstract.A double transform method is used to determine the response of a submerged, infinitely long, circular cylindrical shell to a plane acoustic wave which acts initially at an isolated cross section, and then proceeds to propagate along the axis of the cylinder, symmetrically with respect to that cross section.The application of the saddle point method to the inversion integral results in an asymptotic solution, valid for long time. Comparisons are made with the analogous steady-state solution obtained by using piston theory to describe the effects of the fluid on the shell.I. Introduction. The investigation of the interaction of acoustic media and shell structures has been extensively treated in the literature. One class of these studies has concerned itself with the response of structures to engulfing pressure waves. In the vast majority of these studies, the reflected acoustic field is accounted for by making a plane wave assumption, that is, by using the so-called piston theory [1], [2], This simplification results in the uncoupling of the acoustic and elastic fields, thereby significantly reducing the analytical difficulties. It is well known that the use of piston theory, which for short time responses is reasonably valid, is highly suspect for long times. However, since solutions of the exact coupled fields were nonexistent until recently, it was impossible to determine the range of applicability of these approximate solutions. Haywood [3] investigated a simplified form of the plane problem of the engulfing wave by assuming that the shell is suddenly subjected to a hydrostatic pressure. Neglecting the mass of the shell, and using a cylindrical wave approximation, he showed that the plane wave approximation underestimated the shell response. Wore recently several papers have appeared in which the exact solutions of some interaction problems have been obtained and then compared to the approximate solutions. In the first of these, Herman and Klosner [4] determined the response of a circular cylindrical shell to a sudden pressure increase in its surrounding fluid. In order to simplify the mathematical difficulties, and yet retain the characteristic form of the time dependency, the pressure was assumed to vary periodically along the axis of the shell. The results in-*

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“…Vales et al (1996) completed the exact solution started by Skalak and extended Skalak's decomposition to the near field with extensive numerical calculations. Folk et al (1958) investigated a single semi-infinite bar with mixed end conditions excited by a step function.…”

Section: Introductionmentioning

confidence: 99%

Measurement of Anisotropic Elastic Constitutive Properties at High Temperatures

Peterson¹

2003

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Public reporting burden for the collection of information is estimated to average 1 hour per response, including the time for reviewing instructions, searching existing data sources, gathering and maintaining the data needed, and completing and reviewing the collection of information. Send comments regarding this burden estimate or any other aspect of this collection of information, including suggestions for reducing this burden, to Washington Headquarters Services, Directorate for Information Operations and Reports, 1215 Jefferson Davis Highway, Suite 1204, Arlington VA 22202-4302. Respondents should be aware that notwithstanding any other provision of law, no person shall be subject to a penalty for failing to comply with a collection of information if it does not display a currently valid OMB control number. 5d. PROJECT NUMBER 5e. TASK NUMBER 5f. WORK UNIT NUMBER REPORT DATE DEC 20032 PERFORMING ORGANIZATION NAME(S) AND ADDRESS(ES)University of Maine 5717 Corbett Hall Orono ME 04469-57178. PERFORMING ORGANIZATION REPORT NUMBER SPONSORING/MONITORING AGENCY NAME(S) AND ADDRESS(ES) 10. SPONSOR/MONITOR'S ACRONYM(S) SPONSOR/MONITOR'S REPORT NUMBER(S) DISTRIBUTION/AVAILABILITY STATEMENTApproved for public release, distribution unlimited SUPPLEMENTARY NOTESThe original document contains color images. MotivationKnowledge of material properties is one of the key elements in design of advanced aerospace systems. However the measurement of material properties is a difficult task since many, if not most, materials used in aerospace applications are anisotropic. Composite or single crystal materials are used in rockets, engines and vehicle reentry systems. In addition these materials must operate under extreme temperatures and in corrosive or oxidative environments. The measurement of a complete set of material properties at high temperatures is thus necessary for design of systems that must reliably operate under extreme conditions. Knowledge of the complete anisotropic properties of the material allow structural optimization to be performed that can significantly reduce the vehicle mass and improve system reliability.A particular need is the accurate measurement of elastic and visco-elastic properties of composites at high temperatures in order to design the components used in advanced missile defense systems. Technological advancements such as those proposed in the Atmospheric Interceptor Technology (AIT) program require that the materials in the compone nts operate on high-maneuvering targets in a severe aero-thermal environment. This requirement places a high demand on materials that operate at temperatures up to 3000°C. The length of time that the component must operate reliably may be limited, but reliability is critical. Thus not only are material properties at temperature required, but the effects of time at temperature and dynamic heating effects must be considered. These time dependent characteristics and associated material degradation effects are the focus application for the new sensor that has been develo...

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Elastic Strain Produced by Sudden Application of Pressure to One End of a Cylindrical Bar. I. Theory

Cited by 74 publications

References 0 publications

Displacement correction for punching at a dynamically loaded bar end

Displacement correction for punching at a dynamically loaded bar end

Expanding axial wave on a submerged cylindrical shell

Measurement of Anisotropic Elastic Constitutive Properties at High Temperatures

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