scholarly journals Deformations and Stresses in a Hollow Sphere with Spherical Transversal Isotropy under Impulsive Pressure

1972 ◽  
Vol 15 (89) ◽  
pp. 1324-1332 ◽  
Author(s):  
Hiroyuki MATSUMOTO ◽  
Sadayuki UJIHASHI
1999 ◽  
Author(s):  
T. H. Sanders ◽  
Cochran Jr. ◽  
Joe K.
Keyword(s):  

1998 ◽  
Author(s):  
J. L. Clark ◽  
K. M. Hurysz ◽  
K. J. Lee ◽  
J. K. Cochran ◽  
T. H. Sanders ◽  
...  

Author(s):  
P. Heydari Boushehri ◽  
A. Hafizi ◽  
M. R. Rahimpour ◽  
R. Khalifeh

Author(s):  
Xin-Pu Fu ◽  
Wen-Zhu Yu ◽  
Meng-Yuan Li ◽  
Rui Si ◽  
Chao Ma ◽  
...  

Author(s):  
Fatima S. Bayones ◽  
Abd-elmoaty M. Abd-Alla ◽  
Gamal A. Yahya ◽  
Ashraf M. Farhan

2021 ◽  
Vol 9 (1) ◽  
pp. 67
Author(s):  
Hiroshi Takagi ◽  
Fumitaka Furukawa

Uncertainties inherent in gate-opening speeds are rarely studied in dam-break flow experiments due to the laborious experimental procedures required. For the stochastic analysis of these mechanisms, this study involved 290 flow tests performed in a dam-break flume via varying gate speeds between 0.20 and 2.50 m/s; four pressure sensors embedded in the flume bed recorded high-frequency bottom pressures. The obtained data were processed to determine the statistical relationships between gate speed and maximum pressure. The correlations between them were found to be particularly significant at the sensors nearest to the gate (Ch1) and farthest from the gate (Ch4), with a Pearson’s coefficient r of 0.671 and −0.524, respectively. The interquartile range (IQR) suggests that the statistical variability of maximum pressure is the largest at Ch1 and smallest at Ch4. When the gate is opened faster, a higher pressure with greater uncertainty occurs near the gate. However, both the pressure magnitude and the uncertainty decrease as the dam-break flow propagates downstream. The maximum pressure appears within long-period surge-pressure phases; however, instances considered as statistical outliers appear within short and impulsive pressure phases. A few unique phenomena, which could cause significant bottom pressure variability, were also identified through visual analyses using high-speed camera images. For example, an explosive water jet increases the vertical acceleration immediately after the gate is lifted, thereby retarding dam-break flow propagation. Owing to the existence of sidewalls, two edge waves were generated, which behaved similarly to ship wakes, causing a strong horizontal mixture of the water flow.


Symmetry ◽  
2021 ◽  
Vol 13 (5) ◽  
pp. 830
Author(s):  
Evgeniya V. Goloveshkina ◽  
Leonid M. Zubov

The concept of a spherically symmetric second-rank tensor field is formulated. A general representation of such a tensor field is derived. Results related to tensor analysis of spherically symmetric fields and their geometric properties are presented. Using these results, a formulation of the spherically symmetric problem of the nonlinear theory of dislocations is given. For an isotropic nonlinear elastic material with an arbitrary spherically symmetric distribution of dislocations, this problem is reduced to a nonlinear boundary value problem for a system of ordinary differential equations. In the case of an incompressible isotropic material and a spherically symmetric distribution of screw dislocations in the radial direction, an exact analytical solution is found for the equilibrium of a hollow sphere loaded from the outside and from the inside by hydrostatic pressures. This solution is suitable for any models of an isotropic incompressible body, i. e., universal in the specified class of materials. Based on the obtained solution, numerical calculations on the effect of dislocations on the stress state of an elastic hollow sphere at large deformations are carried out.


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