Plastic-Wave Propagation Effects in Transverse Impact of Membranes

1960 ◽  
Vol 27 (1) ◽  
pp. 172-176 ◽  
Author(s):  
B. Karunes ◽  
E. T. Onat

The paper is concerned with the plane motion of a rigid-strain-hardening membrane attached to two parallel fixed supports. The membrane is subjected to a uniformly distributed transverse impulse and the subsequent motion of the membrane is to be determined with the particular emphasis on the variation of thickness in the final deflected shape. It is first shown that two essentially different initial modes of deformation exist depending on the average rate of hardening. For both modes, the analysis can be based on two types of waves of discontinuity until the moment when the compressive membrane forces occur in the middle region of the membrane. The presence of compressive forces will generally preclude the existence of a unique solution for further motion. The bending rigidity will probably have to be included into the analysis in order to obtain a unique solution. However, for the technically important rates of hardening and velocities, the kinetic energy of the membrane at the moment of occurrence of compressive forces is small compared with the initial energy, so that significant information could be obtained from the present analysis about the variation of thickness and hardening throughout the membrane.

1993 ◽  
Vol 25 (03) ◽  
pp. 549-569 ◽  
Author(s):  
Yadong Wu

In this paper we introduce a multilevel birth-death particle system and consider its diffusion approximation which can be characterized as aM([R+)-valued process. The tightness of rescaled processes is proved and we show that the limitingM(R+)-valued process is the unique solution of theM([R+)-valued martingale problem for the limiting generator. We also study the moment structures of the limiting diffusion process.


1985 ◽  
Vol 52 (1) ◽  
pp. 137-143 ◽  
Author(s):  
M. F. Beatty ◽  
J. B. Haddow

Governing equations are derived for the plane motion of a stretched hyperelastic string subjected to a suddenly applied force at one end. These equations can be put in the form of a quasilinear system of first-order partial differential equations, which is totally hyperbolic for an admissible strain energy function. There are, in general, two wave speeds and two corresponding shock speeds. Special consideration is given to the jump relations across the shocks. Similarity solutions for a string moved at one end in loading or unloading are obtained for a general hyperelastic solid. The results are applicable to the familiar neo-Hookean or Mooney-Rivlin material, and the nature of the solution for another special hyperelastic material is discussed. These solutions are valid for a semi-infinite string, or until the first reflection occurs. It is shown that a special case of the similarity solution is valid for the normal impact of a stretched string by a constant speed, point application of load. Exact solution to the equations for the neo-Hookean model is derived in terms of elliptic integrals, and some numerical results are provided.


Author(s):  
Milutin Živanović ◽  
Nataša Džudović

Corporate mergers and acquisitions represent one of the most dynamic fields in the world of the business finance. These remarkably complex transactions success may vary depending on the economic and institutional environments in which the transactions are performed. This paper investigates the information content of the bid premium determined in the M&A transactions and focuses on the identification of significant differences in its amount depending on: (1) the observed timeframe (width of the event window observed relative to the moment of the transaction announcement); (2) current equity market trends (3) institutional environments and the degree of the economic development of the countries in which the transaction participants operate; and (4) selected payment method and motive for entering the transaction in regard to space and time dimensions of bid premium. Examining the sample of 783 merger and acquisition transactions at the global economy level, the research explores the importance and range of time and space determinants of bid premiums in M&A transactions.Our results confirm that bid premium carries significant information and that is highly dependent on the observed timeframe, i.e. we find evidence of information “leakage” prior to transaction announcement and sluggish adaptation to expected value creation due to market characteristics, level of economic development of countries in which M&As are operated and specific transaction characteristics such as payment method and motive for participating in such transaction. The paper shows that the results can often differ depending on whether the analysis includes dominant trends in the most important capital markets.


2010 ◽  
Vol 64 (3) ◽  
pp. 177-181
Author(s):  
Srdjan Marjanovic ◽  
Milovan Suvakov

In this paper we present the results of Monte Carlo simulations of positronium (Ps) swarm thermalization in helium (He) and water vapour. We have investigated the temporal evolution of energy and spatial parameters of the swarm and their sensitivity to the shape of the cross-section and the initial energy distribution. Positron anihilation spectroscopy (PAS) and positron emission tomography (PET) are techniques that depend on anihilation of positronium in materials and tissue. The results obtained point that the Monte Carlo technique shows good agreement with experimental results and is capable of accurately describing the behaviour of Ps particles including the energy, particle lifetime and the moment and location of the anihilation.


2012 ◽  
Vol 40 (113) ◽  
pp. 63-78
Author(s):  
Anette Grønning

HOW TO TELL THAT YOU ARE PREGNANT | The focus of this article is mediated exposure of life before life based on fetal images, including textual updates uploaded to individual Facebook profiles. The article analyses how pictures of embryos have become part of daily digital self presentation and the narrative about expecting a child. We follow a pregnant’s Facebook profile from the moment she uploads the first fetal image around the twelfth week, till the moment she updates with the news about the delivery documented by a picture of her newborn baby. The mediated exposure also involves the coming father, as the pregnant woman tags the pictures with his name to underline the family ties. Many relations (mostly women) contribute with comments that can be categorised into three groups: serious, humoristic-ironic and analysing questioning. The Facebook update can be seen as a side stage or middle region (Meyrowitz) position, a constantly more muddy space between public and private self presentation. This new praxis confirms Jean Baudrillard’s thoughts about the subject’s exaggerated presentation of self. The online audience is more comprehensive and less controllable than offline. The pregnant exposes her pregnancy, motherhood and her product (the foetus)through updates, pictures and tagging. The Facebook update is a new way to interpellate family relations and to celebrate the coming new member with the comprehensive network in three levels.


1999 ◽  
Vol 36 (6) ◽  
pp. 1039-1055 ◽  
Author(s):  
Ching-Chuan Huang ◽  
Farn-Yue Menq ◽  
Yue-Chin Chou

A two-dimensional model retaining wall system was developed to investigate the effect of the bending rigidity of a wall, supported at the top and bottom, on the lateral pressure distribution at completion-of-backfilling condition. A total of 120 000 pieces of 1.96 mm diameter stainless steel rods were placed piece by piece behind the 500 mm high walls in a parallel and dense stack. Ten two-component load cells were mounted to the inner face of the wall to obtain simultaneously normal and shear stresses acting on the wall. The stress-deformation characteristics of the steel-rod assembly and the friction angle between the steel rods and the stainless plate were investigated thoroughly to provide parameters of the backfill material used. Four types of walls with different bending rigidities were employed. The deflections at the half-height of the wall at the moment of completion of backfill ranged between 0.03 and 4.6 mm. A parameter Rr, the relative degree of deflection at the half-height of the wall, was used to evaluate the lateral pressure distribution on the walls for their at-completion conditions. Both the lateral pressure coefficients and the patterns of lateral pressure distribution on the walls were strongly related to Rr .


Author(s):  
Olav Njåstad ◽  
W. J. Thron

AbstractMethods from the theory of orthogonal polynomials are extended to L-polynomials . By this means the authors and W. B. Jones (J. Math. Anal. Appl. 98 (1984), 528–554) solved the strong Hamburger moment problem, that is, given a double sequence , to find a distribution function ψ(t), non-decreasing, with an infinitenumber of points of increase and bounded on −∞ < t < ∞, such that for all integers . In this article further menthods such as analogues of the Lioville-Ostrogradski formula and of the Christoffel-Darboux formula are developed to investigated When the moment porblem has a unique solution. This will be the case if and only if a sequence of nested disks associated with the sequence has only a point as its intersection (the so called limit point case).


2015 ◽  
Vol 83 (12) ◽  
pp. 4701-4709 ◽  
Author(s):  
Shuping Hou ◽  
Xiaohua Dong ◽  
Zhangsheng Yang ◽  
Zhongyu Li ◽  
Quanzhong Liu ◽  
...  

Chlamydia trachomatisinfection in the lower genital tract can ascend to and cause pathologies in the upper genital tract, potentially leading to severe complications, such as tubal infertility. However, chlamydial organisms depleted of plasmid or deficient in the plasmid-encoded Pgp3 are attenuated in ascending infection and no longer are able to induce the upper genital tract pathologies, indicating a significant role of Pgp3 in chlamydial pathogenesis. We now report thatC. trachomatisPgp3 can neutralize the antichlamydial activity of human cathelicidin LL-37, a host antimicrobial peptide secreted by both genital tract epithelial cells and infiltrating neutrophils. Pgp3 bound to and formed stable complexes with LL-37. We further showed that the middle region of Pgp3 (Pgp3m) was responsible for both the binding to and neutralization of LL-37, suggesting that Pgp3m can be targeted for attenuating chlamydial pathogenicity or developed for blocking LL-37-involved non-genital-tract pathologies, such as rosacea and psoriasis. Thus, the current study has provided significant information for both understanding the mechanisms of chlamydial pathogenesis and developing novel therapeutic agents.


1993 ◽  
Vol 25 (3) ◽  
pp. 549-569 ◽  
Author(s):  
Yadong Wu

In this paper we introduce a multilevel birth-death particle system and consider its diffusion approximation which can be characterized as aM([R+)-valued process. The tightness of rescaled processes is proved and we show that the limitingM(R+)-valued process is the unique solution of theM([R+)-valued martingale problem for the limiting generator. We also study the moment structures of the limiting diffusion process.


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