scholarly journals Numerical solution for the stress near a hole with corners in an infinite plate under biaxial loading

2021 ◽  
Vol 127 (1) ◽  
Author(s):  
Weiqi Wang ◽  
Brian J. Spencer
Keyword(s):  
Numerical Solution ◽  
Biaxial Loading ◽  
Infinite Plate

scholarly journals Numerical Solution of Non-Newtonian Fluids Flow Past an Accelerated Vertical Infinite Plate in the Presence of Free Convection Currents

2013 ◽  
Vol 18 (3) ◽  
pp. 761-777
Author(s):  
M. Patel ◽  
M.G. Timol
Keyword(s):  
Fluid Flow ◽  
Free Convection ◽  
Prandtl Number ◽  
Numerical Solution ◽  
Numerical Solutions ◽  
Infinite Plate ◽  
Similarity Analysis ◽  
Convection Current ◽  
Linear Ordinary Differential Equations ◽  
Flow Past

Abstract A similarity analysis of non-Newtonian fluid flow past an accelerated vertical infinite plate in the presence of free convection current is carried out. A group theoretic generalized dimensional analysis is employed to achieve the governing non-linear ordinary differential equations in the most general form. Numerical solutions of these equations are given with the plot of their velocity profiles with the effects of Pr-Prandtl number and Gr-Grashof number

Numerical solution of the curved rigid line problem in an infinite plate

1990 ◽  
Vol 60 (5) ◽  
pp. 283-292 ◽  
Author(s):  
Y. Z. Chen ◽  
Z. W. Zhao
Keyword(s):  
Numerical Solution ◽  
Infinite Plate ◽  
Rigid Line

scholarly journals QUAZILINEARIZATION METHOD FOR THE SOLUTION TO THE PROBLEM OF PLATE WITH THE CENTRAL CIRCULAR HOLE UNDER CREEP REGIME

2017 ◽  
Vol 23 (2) ◽  
pp. 44-50
Author(s):  
L. V. Stepanova ◽  
R. M. Zhabbarov
Keyword(s):  
Numerical Solution ◽  
Tangential Stress ◽  
Circular Hole ◽  
Infinite Plate ◽  
Nonlinear Problems ◽  
Internal Point ◽  
Approximation Solution ◽  
Maximum Value ◽  
Creep Regime

The approximation solution of the problem for an infinite plate with the circular hole under creep regime is obtained by the quazilinearization method. Four approximations of the solution of the nonlinear problems are found. It is shown that with increasing of the number of approximations the solution converges to the limit numerical solution. It is worth to note that the tangential stress reaches its maximum value not at the circular hole but at the internal point of the plate. It is also shown that quazilinearization method is an effective method for nonlinear problems.

Quasi-Square Hole With Optimum Shape in an Infinite Plate Subjected to In-Plane Loading

1981 ◽  
Vol 103 (4) ◽  
pp. 866-870 ◽  
Author(s):  
A. J. Durelli ◽  
K. Rajaiah
Keyword(s):  
Stress Concentration ◽  
Circular Hole ◽  
Biaxial Loading ◽  
Optimization Technique ◽  
Infinite Plate ◽  
Efficiency Factor ◽  
Optimum Shape ◽  
Stress Concentrations ◽  
Large Plate ◽  
Square Hole

This paper deals with the optimization of the shape of the corners and sides of a square hole, located in a large plate and subjected to in-plane loads, with the object of minimizing stress concentrations. Appreciable disagreement has been found between the results obtained previously by other investigators. In this paper new tests have been conducted and discrepancies have been corrected. Using an optimization technique, the authors have developed a quasi square shape which introduces a stress concentration of only 2.54 in a uniaxial field, the comparable value for the circular hole being 3. The efficiency factor of the proposed optimum shape is 0.90 whereas the efficiency factor of the best shape developed previously was 0.71. The shape also is developed that minimizes the stress concentration in the case of biaxial loading when the ratio of biaxiality is 1:-1.

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