Advanced Search

Query:

Fill in the form and click »Search«...

Format:

Display: entries per page entries

Zbl 1149.76607
He, Jihuan
An elementary introduction to recently developed asymptotic methods and nanomechanics in textile engineering. (English)
[J] Int. J. Mod. Phys. B 22, No. 21, 3487-3578 (2008). ISSN 0217-9792

Summary: This review is an elementary introduction to the concepts of the recently developed asymptotic methods and new developments. Particular attention is paid throughout the paper to giving an intuitive grasp for Lagrange multiplier, calculus of variations, optimization, variational iteration method, parameter-expansion method, exp-function method, homotopy perturbation method, and ancient Chinese mathematics as well. Subsequently, nanomechanics in textile engineering and E-infinity theory in high energy physics, Kleiber's 3/4 law in biology, possible mechanism in spider-spinning process and fractal approach to carbon nanotube are briefly introduced. Bubble-electrospinning for mass production of nanofibers is illustrated. There are in total more than 280 references.

MSC 2000:: *76A99 Foundations, constitutive equations, rheology
49S05 Variational principles of physics
11A55 Continued fractions (number-theoretic results)
28A80 Fractals
82D99 Appl. to specific physical systems
76-02 Research monographs (fluid mechanics)

Keywords: variational principle; Lagrange multiplier; optimization; variational iteration method; homotopy perturbation method; exp-function method; parameter-expansion method; nanofiber; electrospinning; spider; nanohydrodynamics; carbon nanotube; fractal spacetime; E-infinity theory

Comment on this Item PDF MathML XML ASCII DVI PS BibTeX Online Ordering Article Journal

	Scientific prize winners of the ICM 2010
	Overhang
	Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

Advanced Search

Zentralblatt MATH Berlin [Germany]