کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
251706 502941 2014 6 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Accuracy of multiscale asymptotic expansion method
ترجمه فارسی عنوان
دقت روش گسترش چند ضلعی آسیمپتیک
کلمات کلیدی
کامپوزیتهای دوره ای، چند مقیاس، گسترش انعطاف پذیر، نظم عنصر، عملکرد انرژی بالقوه
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی عمران و سازه
چکیده انگلیسی


• The exact influence functions were obtained for a periodical composite rod.
• It was revealed that the second expansion term is necessary.
• The total potential energy was used to evaluate accuracy of MsAEM.
• The results of 2D periodical composite problems validate the conclusions.

The multiscale asymptotic expansion method (MsAEM) is generally implemented by finite element method. The calculating accuracy of MsAEM depends completely on the order of asymptotic expansion and the order of finite element. First, the necessary number of expansion term is decided in a mechanical view from the pseudo loads used for solving influence functions. Next for different order of load cases, the analytical solutions of the static problems of the periodical composite rod are obtained using different order of MsAEM and finite elements. In those solutions, the element order for solving analytical macro displacements depends on the external loads whereas the element orders for solving analytical influence functions are determined from the governing differential equations of influence functions. Then, two dimensional (2D) periodical composite are explored similarly. Finally, the potential energy functional is used to evaluate the accuracy of MsAEM, and numerical comparisons validate the conclusions.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Composite Structures - Volume 112, June 2014, Pages 38–43
نویسندگان
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