کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
278048 | 1430265 | 2013 | 18 صفحه PDF | دانلود رایگان |

In this paper, we develop a procedure for optimal topological design by sequentially inserting finite-sized non-spherical inclusions or holes within a homogeneous domain. We propose a new criterion for topology change that results in a trade-off problem to achieve the greatest/least change in the objective for the least/greatest change in the size of the inclusion/hole respectively. We derive the material derivative of the proposed objective, termed as the configurational derivative, that describes sensitivity of arbitrary functionals to arbitrary motions of the inclusion/hole as well as the domain boundaries. We specifically utilize the sensitivity to position, orientation and scaling of finite-sized heterogeneities to effect topological design. We simplify the configurational derivative to the special case of infinitesimally small spherical inclusions or holes and show that the developed derivative is a generalization of the classical topological derivative. The computational implementation relies on B-spline isogeometric approximations. We demonstrate, through a series of examples, optimal topology achieved through sequential insertion of a heterogeneity of fixed shape and optimization of its configuration (location, orientation and scale).
Journal: International Journal of Solids and Structures - Volume 50, Issue 2, 15 January 2013, Pages 429–446