کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
279935 1430364 2007 14 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
An approach to solving mechanics problems for materials with multiscale self-similar microstructure
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی عمران و سازه
پیش نمایش صفحه اول مقاله
An approach to solving mechanics problems for materials with multiscale self-similar microstructure
چکیده انگلیسی

This article proposes an efficient method for solving mechanics boundary value problems formulated for domains with multiscale self-similar microstructure. In particular, composite materials for which one of the phases has a fractal-like structure with scale cut-offs are considered. The boundary value problems are solved using a finite element procedure with enriched shape functions that incorporate information about the geometric complexity. The use of these shape functions makes possible the definition of a unique, parametrically defined model from which the solution for configurations with an arbitrary number of scales can be derived. The proposed method is primarily useful for structures with a large number of self-similar scales for which using the usual finite element method would be too expensive. In order to exemplify the method, a 2D composite with fractal microstructure is considered and several boundary value problems are solved.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: International Journal of Solids and Structures - Volume 44, Issue 24, 1 December 2007, Pages 7877–7890
نویسندگان
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