scholarly journals Evaluating Penetration Strengths of Rubber Sheets under Transverse Pressure

2021 ◽  
Vol 70 (11) ◽  
pp. 789-795
Author(s):  
Tadaharu ADACHI ◽  
Keita IGARI ◽  
Yosuke ISHII
Keyword(s):  
1963 ◽  
Vol 89 (4) ◽  
pp. 97-104
Author(s):  
H. Ivan Schwartz ◽  
Louis P. Nutt
Keyword(s):  

The stability of viscous flow between two coaxial cylinders maintained by a constant transverse pressure gradient is considered when the fluid is an electrical conductor and a uniform magnetic field is impressed in the axial direction. The problem is solved and the dependence of the critical number for the onset of instability on the strength of the magnetic field and the coefficient of electrical conductivity of the fluid is determined.


1972 ◽  
Vol 9 (02) ◽  
pp. 173-194
Author(s):  
Dan Hoffman

The recent advent of the large tanker and bulk carrier has promoted the requirements for more detailed structural analysis of a ship and the reevaluation of theories for calculating the static, quasistatic and dynamic loads. The paper begins with discussion of the methods available to determine the various types of loads expected, their phase relationship, and ways of superimposing them. It then proceeds to the treatment of sea loads based on theoretical and experimental data, and techniques of determining the ship response in a seaway are discussed. The response to regular waves is reviewed with special reference to the determination of pressure distribution on the hull. Statistical ship response, immediate and cumulative over the life of the ship, is demonstrated in relation to the prediction of long-term bending moment trends, and the distribution of the extremes is discussed. Special loading conditions are described with special emphasis on the transverse pressure distribution, dynamic effects due to motion of liquid cargo in tanks, shipping of green water, wave-induced vibrations, slamming pressures and whipping stresses due to various causes. The paper treats the above subjects in a broad manner and no attempt to illustrate the theory in detail is made.


2019 ◽  
Vol 119 (1) ◽  
pp. 1-21
Author(s):  
Sergei N. Timoshin ◽  
Pallu Thapa

Abstract A two-fluid boundary layer is considered in the context of a high Reynolds number Poiseuille–Couette channel flow encountering an elongated shallow obstacle. The flow is laminar, steady and two-dimensional, with the boundary layer shown to have the pressure unknown in advance and a specified displacement (a condensed boundary layer). The focus is on the detail of the flow reversal triggered by the obstacle. The interface between the two fluids passes through the boundary layer which, in conjunction with the effects of gravity and distinct densities in the two fluids, leads to several possible topologies of the reversed flow, including a conventional on-wall separation, interior flow reversal above the interface, and several combinations of the two. The effect of upstream influence due to a transverse pressure variation under gravity is mentioned briefly.


Anomalous results, including counterintuitive permanent displacements and scatter of numerical solutions, have been found for certain fixed-pin supported beams deformed plastically by a transverse pressure pulse. Similar difficulties may be anticipated in other pulse loaded beams and plates with constraints that prevent in-plane displacements. The present studies show some of the special circumstances in which these occur, with a simple elastic-plastic model of Shanley type. In particular, effects of changing a geometrical ratio and of including damping are shown over a range of load magnitudes. The influence of damping is remarkable. Unpredictability of final displacement is evident in special circumstances, such that the final displacement is hypersensitive to the parameters of the loading, structure and solution technique.


Small transverse displacements of a flat elastic plate are governed by a single linear equation, but large displacements entail stretching of the middle surface and consequent tensions, which interacting with the curvatures (i.e. by 'membrane effect’) introduce non-linear terms into the conditions of equilibrium and so make those equations no longer independent. The second-order terms were formulated by von Kármán in 1910, but the amended (‘large deflexion’) equations have been solved only in a few cases, and then with considerable difficulty. In this paper four examples are treated approximately by a technique based on relaxation methods. The first and second are relatively simple problems which have been solved exactly and so serve as test cases, viz. ( a ) a circular plate, with clamped edge, which sustains a uniform transverse pressure and ( b ) a circular plate, with ‘simply supported’ edge, which buckles with radial symmetry under uniform edge thrust. The third and fourth examples present great difficulties to orthodox analysis: they are ( c ) a square plate, sustaining uniform transverse pressure, of which the edges are clamped, ( d ) a square plate buckled by actions which, clamping its edges, tend initially to induce a state of uniform shear.


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