http://imechanica.org/node/2475 Comments for "Solutions to the Eshelby conjectures and construction of special inclusions" en http://imechanica.org/node/2475 <p> We find a way of constructing special inclusions by solving variational inequalities. As a side result, the Eshelby conjectures, which asserts that uniform eigenstress induces uniform elastic strain if and only if the inclusion is an ellipsoid, are solved. In a periodic setting, we can construct optimal&nbsp;ordered structures in the sense of attaining the Hashin-Shtrikman bounds. These works have been submitted and preprints are available at <a href="http://www.its.caltech.edu/~liulp/">http://www.its.caltech.edu/~liulp/</a>.&nbsp;Examples of multiply-connected inclusion with Eshelby uniformity property are shown below, see the papers for more examples and description of numerical schemes. </p> <p> <img src="http://www.its.caltech.edu/~liulp/publications/Ein2leaves.jpg" alt=" " width="510" height="458" align="middle" /> </p> <p> &nbsp; </p> <br class="clear" /> http://imechanica.org/node/2475#comments research Composites micromechanics solid mechanics Mon, 17 Dec 2007 18:48:42 -0500 liuliping 2475 at http://imechanica.org