Results 241 to 250 of about 67,776 (287)
Solution of some elasticity boundary value problems in bipolar coordinates
Acta Mechanica, 2007 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
N. Khomasuridze
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Chebyshev–Fourier spectral methods in bipolar coordinates
Journal of Computational Physics, 2015 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhu Huang, John P. Boyd
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Exact solution of one problem of magnetostatics in bipolar coordinates (continued)
Russian Journal of Nondestructive Testing, 2016 An exact solution for a linear problem of magnetostatics about an infinite cylinder with an infinite noncoaxial cylindrical flaw has been derived in the system of plane bipolar coordinates under the condition that external magnetizing field remains unchanged along the length axis of this model body. The solution has been tested for theoretical veracity
V. V. Dyakin +2 more
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Analysis of the interaction between two nanovoids using bipolar coordinates
Computer Modeling in Engineering & Sciences, 2008 The effects of surface energy on the interaction between two voids of equal size are investigated. The problem is solved by series expansion in bipolar coordinates. The results show that the surface energy significantly affects the stress concentration around the holes as the size of the holes shrinks to nanometers, meanwhile the interaction between ...
Shuling Hu, Shengping Shen
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A General Solution in Bipolar Coordinates to Problems Involving Elastic Dislocations
SIAM Journal on Applied Mathematics, 1970 Stress and displacement fields in bipolar coordinates are derived and expressed in terms of a stress function, the compatibility equation becoming the governing equation of the problem. Under the assumption of single-valuedness of stress, a general form of stress function is given composed of the fundamental part used by Koehler and an auxiliary part ...
Ting Wu, J. L. Nowinski
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Interpretation of the Spinning Electron with Bipolar Coordinates
Physical Review, 1944 Mary Hewlett Payne
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BIPOLAR COORDINATES AND PLOTTERS*
PRIMUS, 1994 ABSTRACT In responding to pressures from other areas of the subject, mathematics curricula, whether for mathematicians or engineers, tend to place less emphasis than before on both sketching and general knowledge of plane curves given in Cartesian or polar form.
David E. Nelson
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“Cloaking at a distance” from folded geometries in bipolar coordinates
Optics Letters, 2009 We propose a kind of folded geometry in bipolar coordinates. Transformation optics in such folded geometries has many intriguing applications, such as a kind of conceptual devices that can exactly cancel the scattering of a prespecified external object and thereby make it invisible. Numerical simulations are performed to confirm the properties.
Huanyang Chen, C. T. Chan
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IEEE Transactions on Magnetics, 2007 The paper solves a 3D magnetostatic problem in a cylindrical bipolar system of coordinates by separation of variables. The analytical solution applies to the field area between two nonconcentric cylindrical surfaces located in a close proximity to each other.
Y. Zhilichev
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