کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
471603 698648 2006 20 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Hierarchical models of elastic shells in curvilinear coordinates
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر علوم کامپیوتر (عمومی)
پیش نمایش صفحه اول مقاله
Hierarchical models of elastic shells in curvilinear coordinates
چکیده انگلیسی

In the present paper, static and dynamical problems for linearly elastic shells in curvilinear coordinates are considered. Hierarchies of two-dimensional models for corresponding boundary and initial boundary value problems are constructed within the variational settings. The existence and uniqueness of solutions of the reduced problems are investigated in suitable spaces. Under the conditions of solvability of the original static or dynamical problem, convergence of the sequence of vector functions of three variables restored from the solutions of the constructed two-dimensional problems to the solution of the three-dimensional problem is proved and approximation error is estimated.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computers & Mathematics with Applications - Volume 51, Issue 12, June 2006, Pages 1789-1808