کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4627660 1631808 2014 15 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
An improved moving least-squares Ritz method for two-dimensional elasticity problems
ترجمه فارسی عنوان
یک روش ریتز کوچک مسطح بهبود یافته برای مشکلات کششی دو بعدی
کلمات کلیدی
روش بدون عنصر، بهبود حرکت کمترین مربع، روش ریتز، کشش دو بعدی
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
چکیده انگلیسی

We propose an improved moving least-squares Ritz (IMLS-Ritz) method with its element-free framework developed for studying two-dimensional elasticity problems. Using the IMLS approximation for the field variables, the discretized governing equations of the problem are derived via the Ritz procedure. In the IMLS, an orthogonal function system with a weight function is employed as the basis for construction of its displacement field. By using the element-free IMLS-Ritz method, solutions of the two-dimensional elasticity problems are obtained. The applicability of the element-free IMLS-Ritz method is illustrated through three selected example problems. The convergence characteristics of the method are examined by varying the number of nodes and geometric parameters of these examples. The accuracy of the method is validated by comparing the computed results with the EFG and exact solutions.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 246, 1 November 2014, Pages 268–282
نویسندگان
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