کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
512301 866398 2015 19 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Augmented Numerical Manifold Method with implementation of flat-top partition of unity
ترجمه فارسی عنوان
روش منیفولد عددی تکمیل شده با استفاده از پارتیشن بندی تخت یکپارچه
کلمات کلیدی
روش چند منظوره عددی، مشکل وابستگی خطی، تکه تکه تکه ای از وحدت، پارتیشن عنصر محدود از وحدت، تقریب چندجملهای مرتبه بالا
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر نرم افزارهای علوم کامپیوتر
چکیده انگلیسی

This paper formulates the flat-top partition of unity (PU)-based numerical manifold method (NMM). Through modifying the finite element PU into the flat-top PU, the linear dependence problem involved in finite element PU-based high-order polynomial approximations has been successfully alleviated. Moreover, the procedure to construct the flat-top PU is substantially simplified by taking full advantage of the unique features of the NMM, compared to that in other flat-top PU-based methods. The proposed method could also be treated as an improved version of the discontinuous deformation analysis (DDA) by completely avoiding the additional strategies previously used to enforce the displacement compatibility between adjacent elements. The formulations are presented in details for 1-D, 2-D and 3-D cases. The discrete equations of the flat-top PU-based NMM are derived based on the minimum potential energy principle. The simplex integration technique and its variation are employed to evaluate the integration of the matrices of the discrete equations over arbitrarily shaped manifold elements. Seven representative examples have validated the proposed method in the aspects of approximation accuracy and efficiency.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Engineering Analysis with Boundary Elements - Volume 61, December 2015, Pages 153–171
نویسندگان
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