کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
474314 | 698863 | 2008 | 20 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
An application of symmetry groups to nonlocal continuum mechanics
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
مهندسی کامپیوتر
علوم کامپیوتر (عمومی)
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: An application of symmetry groups to nonlocal continuum mechanics An application of symmetry groups to nonlocal continuum mechanics](/preview/png/474314.png)
چکیده انگلیسی
In this study the symmetry group properties of the one-dimensional elastodynamics problem in nonlocal continuum mechanics is discussed by using an approach developed for symmetry group analysis of integro-differential equations with general form. This approach is based on the modification of the invariance criterion of the differential equations, which include nonlocal variables and integro-differential operators. Lie point symmetries of the nonlocal elasticity equation are obtained based on solving nonlocal determining equations by using a new approach. The symmetry groups for different types of kernel function and the free term including the classical linear elasticity case are presented.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computers & Mathematics with Applications - Volume 55, Issue 9, May 2008, Pages 1923–1942
Journal: Computers & Mathematics with Applications - Volume 55, Issue 9, May 2008, Pages 1923–1942
نویسندگان
Teoman Özer,