Cavitation in Nonlinearly Elastic Solids: A Review

1995 ◽  
Vol 48 (8) ◽  
pp. 471-485 ◽  
Author(s):  
C. O. Horgan ◽  
D. A. Polignone

Cavitation phenomena in nonlinearly elastic solids have been the subject of extensive investigation in recent years. The impetus for much of these theoretical developments has been supplied by pioneering work of Ball in 1982. Ball investigated a class of bifurcation problems for the equations of nonlinear elasticity which model the appearance of a cavity in the interior of an apparently solid homogensous isotropic elastic sphere or cylinder once a critical external tensile load is attained. This model may also be interpreted in terms of the sudden rapid growth of a pre-existing microvoid. In this paper, we briefly summarize some of the main results obtained to date on radially symmetric cavitation, using the bifurcation model. The paper is a review and a comprehensive list of references is given to original work where details of the analyses may be found.

1957 ◽  
Vol 3 ◽  
pp. 289-304 ◽  

Hubert Maitland Turnbull, who died on 29 September 1955 some eight years after retirement from the Chair of Morbid Anatomy at the London Hospital Medical College, occupied a position of eminence in British pathology. Not only was he greatly esteemed by his colleagues at the London but his influence extended widely throughout the medical schools of this and other countries of the Commonwealth. This was due not so much to his ability as an initiator and director of research, even though he was responsible for a considerable amount of valuable original work during his forty years at the London Hospital, but to a particular genius for accuracy of observation and meticulous attention to detail which he possessed in high degree and applied with almost religious fervour to everything that he did. Entering pathology at a time when many in this country held that morbid anatomy was a dead subject, Virchow, in their opinion, having left little new territory to be explored, Turnbull set himself to revolutionize morbid anatomical practice and to raise the subject to the level of a science. And so well did he succeed that he proved a source of inspiration not only to his fellow pathologists and those young graduates who chose to emulate him, but also to the much wider circle of clinicians who sought the privilege of working for a time in his department as a prelude to specialization in some other branch of medicine.


2017 ◽  
Vol 1 (01) ◽  
pp. 25-32
Author(s):  
Deru R Indika ◽  
Cindy Jovita

The speed of internet access and the rapid growth of the smartphone industrymakes it easier for people to get information. In the field of marketing, this affectshow the promotion is done. The use of social media which is actually meansfor social interaction between online individuals becomes commonly used bycompanies as a tool for promotion including in the tourism industry. One of thesocial media that is often used is Instagram, an application that allows users toshare photos and pictures along with short messages with other users. This studydiscussed how Instagram as a social media can affect consumer purchase intentiontoward a tourist destination. The subject of research is Floating Market located inLembang, Bandung, West Java. The results showed that information deliveredthrough Instagram was effective in increasing consumer purchase intention upto 50.2%


2011 ◽  
Vol 57 (4) ◽  
pp. 401-423
Author(s):  
P. Zielinski

Abstract The paper presents the results of an extensive investigation of asphalt concrete specimens with geosynthetic interlayer. The subject of this research is evaluation of influence of geosynthetics interlayer applied to bituminous pavements on interlayer bonding of specimens. The results of the tests proves that when geosynthetic is used, the bonding of interlayer depends mainly on the type of bituminous mixture, the type of geosynthetic, and the type and amount of bitumen used for saturation and sticking of geosynthetic. The amount of bitumen used in order to saturate and fix the geosynthetic significantly changes the interlayer bonding of specimens.


1968 ◽  
Vol 11 (2) ◽  
pp. 237-254 ◽  
Author(s):  
Peter King

One of the most serious problems facing Archbishop Laud was the rapid growth of the Lecturer Movement during the 1620s and 1630s. The increasing numbers of graduates available, and the increasing amount of money donated to support them meant that the weekly lectures had become one of the chief “religious … organizations of the opposition”, and were beginning to “undermine the hierarchical principle”. The gravity of the situation was marked by the increasingly stringent regulation of the lecturers. They had originally been allowed to preach with very little control, but from the Canons of 1604 onwards they were made the subject of several new regulations. These culminated in the Directions of March 16296 which, although issued by Archbishop Abbot, were based upon suggestions made by Laud to the king. Soon afterwards the lecturers in London Diocese were curtailed as a prelude to Laud's future work as archbishop. The Directions were reissued in January 1634, and a policy of deliberately reducing certain kinds of lecturer was initiated in several dioceses, pursued in the Metropolitical Visitation, and completed by Laud's supporters amongst the bishops.


In continuation of the previous work on germanium and arsenic by one of the writers (K. R. R.), an extensive investigation of the spectrum of selenium has been undertaken in order to analyse the spectra of the atom at successive stages of ionisation and determine the energy levels characteristic of each. In the present part an account is given of the general experimental methods adopted in these investigations and the results obtained for the spectra of Se IV and Se V. The other spectra of the element, a consideration of which is in progress, will form the subject of succeeding parts. Of the earlier measurements of the spark spectrum of selenium, those by Messerschmidt are extensive and range from λ 5898 to λ 2340. McLennan and Young have recorded 12 lines in the spark and 5 lines in the arc between λ 2200 and λ 1850. McLennan, Young and Ireton have also measured the vacuum arc spectrum in the region λ 2296 to λ 1492. However, in the Schumann region extending to λ 1230, the measurements by Lacroute are more complete. Bloch and Bloch have investigated, on two occasions, the spectrum of an electrodeless discharge through selenium vapour by varying the length of the auxiliary gap in series with the discharge and have assigned all the lines of selenium between λ 6783 and λ 2196 to the different stages Se I, Se II, Se III and Se IV.


Second order or ‘cross’ effects arise as a result of quadratic terms in the constitutive equations of isotropic elastic, viscous and viscoelastic media, which are required by the condition of tensor invariance of those relations. The most pronounced second order effects arise when these are clearly separable from the first order deformation, as in the case of second order elongation and volume change of an elastic cylinder subject to a twisting moment, or of second order normal stress in the case of shear flow of polymeric liquids. The recent I. U. T. A. M. Conference on Second Order Effects (Pergamon Press, London, 1964) was mainly concerned with these two phenomena. The paper discusses second order effects in dissipative (viscoelastic, plastic and strain ­ hardening) solids and reports the results of experiments in which these effects were observed. While the experiments on elastomers confirm the Rivlin-Ericksen theory of those effects in viscoelastic media, the existence of a new accumulating second order effect has been discovered by experiments on aluminium specimens in reversed torsion (Ronay 1965). This effect, which has not been observed before, is probably responsible for the rapid acceleration of tensile creep in metals by small amplitudes of reversed torsion. While the second order effects in elastic solids vanish at zero strain since they are reversible, and vanish at zero velocity in polymeric fluids, they accumulate with the number of repeated torsion cycles in strain-hardening media. Hence their observation is very simple and does not require the elaborate procedures necessary for the observation of second order effects in elastic solids and viscous fluids. The theory of accumulating second order effects in strain-hardening media is developed; the linearity of the interaction between tensile load and torsion amplitude is demonstrated by the experiments.


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