کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
499327 | 863040 | 2009 | 15 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Stability and convergence of mixed methods for elastic rods of arbitrary geometry
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
مهندسی کامپیوتر
نرم افزارهای علوم کامپیوتر
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چکیده انگلیسی
A Timoshenko’s small-strain model for elastic rods with arbitrary geometry is analyzed using mixed finite element methods based on the Hellinger–Reissner principle. After presenting the mathematical model and commenting on some drawbacks of standard finite element approximations, a stabilized mixed formulation is derived by adding to the Galerkin formulation least squares residual of the equilibrium equations. Stability, uniform convergence and error estimates are proved and results of numerical experiments are presented illustrating the behavior of the finite element approximations, confirming the predicted rates of convergence and attesting the robustness of the stabilized mixed formulation.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computer Methods in Applied Mechanics and Engineering - Volume 198, Issues 15–16, 15 March 2009, Pages 1283–1297
Journal: Computer Methods in Applied Mechanics and Engineering - Volume 198, Issues 15–16, 15 March 2009, Pages 1283–1297
نویسندگان
A.J.B. Santos, A.F.D. Loula, J.N.C. Guerreiro,