کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
278048 1430265 2013 18 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Optimal topological design through insertion and configuration of finite-sized heterogeneities
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی عمران و سازه
پیش نمایش صفحه اول مقاله
Optimal topological design through insertion and configuration of finite-sized heterogeneities
چکیده انگلیسی

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).

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: International Journal of Solids and Structures - Volume 50, Issue 2, 15 January 2013, Pages 429–446
نویسندگان
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