کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
783221 1464971 2016 11 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Extended framework of Hamilton's principle in heat diffusion
ترجمه فارسی عنوان
چارچوب گسترده ای از اصل همیلتون در انتشار گرما
کلمات کلیدی
چارچوب گسترده ای از اصل همیلتون، فرمول بندی متغیر، روش عنصر محدود فضا-زمان واحد، انتشار گرما، جلوه های صوتی دوم
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی مکانیک
چکیده انگلیسی


• Variational formulation for heat diffusion including 2nd sound effects is provided.
• It recovers all the governing PDEs with proper use of initial/boundary conditions.
• It provides sound basis to develop various unified space-time FEMs.
• For its validity, the simplest unified space-time FEM is developed with examples.

Based upon the extended framework of Hamilton's principle, a variational formulation in heat diffusion, as well as second sound phenomena is developed. This formulation is compatible with the initial and boundary conditions of a well-posed heat problem, and it correctly accounts for the governing partial differential equations, as its Euler-Lagrange equations. Thus, this new formulation provides a sound base to develop various unified space-time finite element methods. In order to validate the finite element representation over both space and time in the context of this formulation, two-dimensional lower-order space-time finite element methods are also developed with numerical investigations on representative examples.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: International Journal of Mechanical Sciences - Volume 114, August 2016, Pages 166–176
نویسندگان
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