کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
6925010 | 1448674 | 2018 | 11 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Method of fundamental solutions and high order algorithm to solve nonlinear elastic problems
ترجمه فارسی عنوان
روش حل اساسی و الگوریتم مرتبه بالا برای حل مشکلات کشش غیر خطی
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کلمات کلیدی
روش راه حل های اساسی روش عددی همبسته، محاسبات غیر خطی، فرمول لاگرانژی،
موضوعات مرتبط
مهندسی و علوم پایه
مهندسی کامپیوتر
نرم افزارهای علوم کامپیوتر
چکیده انگلیسی
In this work, we propose an algorithm, which combines the Method of Fundamental Solutions (MFS) and the Asymptotic Numerical Method (ANM), to solve two-dimensional nonlinear elastic problems. Thanks to the development in Taylor series, nonlinear elastic problem is transformed into a succession of linear differential equations with the same tangent operator. Recognizing that the fundamental solution is not always available, the Method of Fundamental Solutions-Radial Basis Functions (MFS-RBF) is combined with the Analog Equation Method (AEM) to solve these resulting linear equations. Regularization methods such as Truncated Singular Value Decomposition (TSVD) and Tikhonov regularization associated with the L-curve or Generalized Cross Validation (GCV) criterion have been used to control the resulting ill-conditioned linear systems. The efficiency of the proposed algorithm (MFS-ANM) is validated by comparing the obtained results with those of the classical algorithm based on the finite element method (FEM-ANM).
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Engineering Analysis with Boundary Elements - Volume 89, April 2018, Pages 25-35
Journal: Engineering Analysis with Boundary Elements - Volume 89, April 2018, Pages 25-35
نویسندگان
Omar Askour, Abdeljalil Tri, Bouazza Braikat, Hamid Zahrouni, Michel Potier-Ferry,