Download PDF by Ting T.C.T.: Anisotropic elasticity

By Ting T.C.T.

ISBN-10: 0195074475

ISBN-13: 9780195074475

Show description

Read or Download Anisotropic elasticity PDF

Best mechanics books

Download e-book for kindle: Mathematical Theory of Plasticity by R. Hill

First released in 1950, this significant and vintage publication provides a mathematical idea of plastic fabrics, written by means of one of many major exponents.

Get Cytoskeletal mechanics PDF

This e-book offers an entire spectrum of perspectives on present ways to modeling mobilephone mechanics. The authors of this publication come from the biophysics, bioengineering, and actual chemistry groups and every joins the dialogue with a distinct viewpoint on organic platforms. for this reason, the techniques diversity from finite point tools conventional in continuum mechanics to versions of the cytoskeleton as a cross-linked polymer community to versions of glassy fabrics and gels.

Gérard A. Maugin (auth.), Holm Altenbach, Gérard A. Maugin,'s Mechanics of Generalized Continua PDF

This assortment on „Mechanics of Generalized Continua - from Micromechanical fundamentals to Engineering functions“ brings jointly top scientists during this box from France, Russian Federation, and Germany. the eye during this booklet is be focussed at the most up-to-date learn goods, i. e. , - new versions, - software of recognized versions to new difficulties, - micro-macro points, - computational attempt, - probabilities to spot the constitutive equations, and - previous issues of wrong or non-satisfying strategies in keeping with the classical continua assumptions.

Extra resources for Anisotropic elasticity

Example text

Similar data for Reynolds numbers of Red = 60, Red = 90, Red = 150, and Red = 180 also are shown in the figure, as well as the experimental data determined by Williamson,[35] (plotted at effectively zero mesh spacing); it is seen that the current numerical results agree quite well with the experimental values. If fi, f2, and f3 are taken to denote the computed frequencies on meshes containing 386 x 192, 192 x 96, and 128 x 64 cells, respectively, then the limiting value fo, corresponding to zero mesh spacing, is given by when the leading error in the Richardson extrapolation is assumed to be proportional to the square of the mesh size.

That, in the same regime, K, does not scale as maximum K, scales as T - ~ / Note r - 4 / 5This . is because the position of the maxima do not coincide. This regime corresponds to an approach to a vertical tangent that occurs just before the interface turns over. If the interface were symmetric about the vertical tangent, its shape would be a cusp. It is not symmetric and the asymmetry gives it a modified '2'-shape rather than cusp-shape (see figure 4). Prior to the -215 regime, maximum K , apparently scales as T-l.

Finally, we present results computed on ultrafine grids containing 384 x 192 cells in order to demonstrate convergence of the solution with spatial mesh size. The dimensionless frequency is plotted in Fig. 6 as a function of the square of the mesh spacing for this grid and for two coarser grids: the standard grid containing 192 x 96 cells and a coarser grid containing 128 x 64 cells. Results on all grids were computed using A? 02, so the timestepping error is assumed to be negligibly small. Richardson extrapolation6 is used to predict the limiting value of the frequency corresponding to zero mesh spacing.

Download PDF sample

Anisotropic elasticity by Ting T.C.T.


by Brian
4.4

Rated 4.62 of 5 – based on 32 votes