کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
1901264 | 1045671 | 2014 | 13 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Numerical study of formation of solitary strain waves in a nonlinear elastic layered composite material
ترجمه فارسی عنوان
مطالعه عددی شکل گیری امواج کاهشی انفرادی در مواد کامپوزیتی لایه ای غیر خطی
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
علوم زمین و سیارات
زمین شناسی
چکیده انگلیسی
Propagation of nonlinear strain waves through a layered composite material is considered. The governing macroscopic wave equation for the long-wave case was obtained earlier by the higher-order asymptotic homogenization method (Andrianov et al., 2013). Non-stationary dynamic processes are investigated by a pseudo-spectral numerical procedure. The time integration is performed by the Runge-Kutta method; the approximation with respect to the spatial co-ordinate is provided by the Fourier series expansion. The convergence of the Fourier series is substantially improved and the Gibbs-Wilbraham phenomenon is reduced with the help of Padé approximants. As result, we explore how fast and under what conditions the solitary strain waves can be generated from an initial excitation. The numerical and analytical solutions (when the latter can be obtained) are in good agreement.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Wave Motion - Volume 51, Issue 3, April 2014, Pages 405-417
Journal: Wave Motion - Volume 51, Issue 3, April 2014, Pages 405-417
نویسندگان
Igor V. Andrianov, Vladyslav V. Danishevs'kyy, Oleksandr I. Ryzhkov, Dieter Weichert,