scholarly journals Complex potential by hydrodynamic analogy for the determination of flexure–torsion induced stresses in De Saint Venant beams with boundary singularities

2013 ◽  
Vol 37 (12) ◽  
pp. 1632-1641 ◽  
Author(s):  
Giorgio Barone ◽  
Francesco Lo Iacono ◽  
Giacomo Navarra
Keyword(s):  
Complex Potential ◽  
Hydrodynamic Analogy ◽  
Induced Stresses

Calculating the lift on a finite stack of cylindrical aerofoils

2006 ◽  
Vol 462 (2069) ◽  
pp. 1387-1407 ◽  
Author(s):  
Darren Crowdy
Keyword(s):  
Exact Solution ◽  
Conformal Mapping ◽  
Complex Potential ◽  
Analytical Form ◽  
Image Region ◽  
Complete Determination ◽  
The Individual ◽  
Special Case ◽  
Streaming Flow

The classic exact solution due to Lagally (Lagally, M. 1929 Die reibungslose strömung im aussengebiet zweier kreise. Z. Angew. Math. Mech . 9 , 299–305.) for streaming flow past two cylindrical aerofoils (or obstacles) is generalized to the case of an arbitrary finite number of cylindrical aerofoils. Given the geometry of the aerofoils, the speed and direction of the oncoming uniform flow and the individual round-aerofoil circulations, the complex potential associated with the flow is found in analytical form in a parametric pre-image region that can be conformally mapped to the fluid region. A complete determination of the flow then follows from knowledge of the conformal mapping between the two regions. In the special case where the aerofoils are all circular, the conformal mapping from the parametric pre-image region to the fluid domain is a Möbius mapping. The solution for the complex potential in such a case can then be used, in combination with the Blasius theorem, to compute the distribution of hydrodynamic forces on the multi-aerofoil configuration.

Determination of Residual Stress of Hard Film/Soft Substrate Specimens via Unloading Results of Nanoindentation Tests

2011 ◽  
Vol 328-330 ◽  
pp. 843-848
Author(s):  
Huu Hung Nguyen ◽  
Pal Jen Wei ◽  
Jen Fin Lin
Keyword(s):  
Residual Stress ◽  
Residual Stresses ◽  
Soft Substrate ◽  
Large Depth ◽  
Cube Corner ◽  
Induced Stresses ◽  
Depth Curves

A method used to determine the residual stress in a hard film deposited on a soft substrate via the unloading load-depth curves was proposed. The unloading curves with transitional behaviors were used to determine the film deflection stiffness, and then the residual stresses were obtained. Significant extra stresses were induced by a cube corner indenter at large depth. In contrast, the indentation-induced stresses could be neglected in cases of Berkovich indentation at relatively small depths.

Complex potentials and the inverse problem

2018 ◽  
Vol 6 (2) ◽  
pp. 11-15
Author(s):  
R.J. Lombard ◽  
R. Mezhoud ◽  
R. Yekken
Keyword(s):  
Inverse Problem ◽  
Complex Potential ◽  
Local Potential ◽  
Complex Potentials ◽  
Real Spectrum ◽  
Real Potential ◽  
Equivalent Local Potential

The occurrence of complex potentials with real eigenvalues has implications concerning the inverse problem, i.e. the determination of a potential from its spectrum. First, any complex potential with real eigenvalues has at least one equivalent local potential. Secondly, a real spectrum does not necessarily corresponds to a local real potential. A basic ambiguity arises from the possibility the spectrum to be generated by a complex potential. The purpose of this work is to discuss several aspects of this problem.

Determination of Temperature Induced Stresses in a Conical Shell

ARS Journal ◽  
1960 ◽  
Vol 30 (11) ◽  
pp. 1041-1046
Author(s):  
V. A. SIBIRIAKOV
Keyword(s):  
Conical Shell ◽  
Induced Stresses

A new hydrodynamic analogy model for the determination of transport phenomena in random packings

2020 ◽  
pp. 116246
Author(s):  
Alexander H.J. Salten ◽  
Jan F. Maćkowiak ◽  
Jerzy K. Maćkowiak ◽  
Eugeny Y. Kenig
Keyword(s):  
Transport Phenomena ◽  
Hydrodynamic Analogy ◽  
Random Packings

Diffusion in Metallic Multilayers

1995 ◽  
Vol 382 ◽  
Author(s):  
A. L. Greer
Keyword(s):  
Plastic Flow ◽  
Microstructural Evolution ◽  
Low Temperatures ◽  
Flow Behaviour ◽  
Individual Species ◽  
Metallic Multilayers ◽  
Induced Stresses ◽  
Interdiffusion Kinetics

ABSTRACTThe use of metallic multilayers for diffusion measurements is reviewed. Experiments on epitaxial Ag/Au multilayers show that microstructural evolution can affect the measurements, but that nonetheless accurate determinations of lattice interdiffusivity can be made down to exceptionally low temperatures. Experiments on amorphous Ni-Zr multilayers show that with diffusional symmetry there can significant diffusion-induced stresses. Analysis of the interdiffusion kinetics as influenced by stress permits the determination of a range of materials parameters, including the diffusivities of individual species and plastic flow behaviour.

Complex potentials and the inverse problem

2018 ◽  
Vol 6 (2) ◽  
pp. 11-15
Author(s):  
R.J. Lombard ◽  
R. Mezhoud ◽  
R. Yekken
Keyword(s):  
Inverse Problem ◽  
Complex Potential ◽  
Local Potential ◽  
Complex Potentials ◽  
Real Spectrum ◽  
Real Potential ◽  
Equivalent Local Potential

The occurrence of complex potentials with real eigenvalues has implications concerning the inverse problem, i.e. the determination of a potential from its spectrum. First, any complex potential with real eigenvalues has at least one equivalent local potential. Secondly, a real spectrum does not necessarily corresponds to a local real potential. A basic ambiguity arises from the possibility the spectrum to be generated by a complex potential. The purpose of this work is to discuss several aspects of this problem.

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