کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
520856 867738 2014 21 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Variational integrators for the dynamics of thermo-elastic solids with finite speed thermal waves
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر نرم افزارهای علوم کامپیوتر
پیش نمایش صفحه اول مقاله
Variational integrators for the dynamics of thermo-elastic solids with finite speed thermal waves
چکیده انگلیسی

This paper formulates variational integrators for finite element discretizations of deformable bodies with heat conduction in the form of finite speed thermal waves. The cornerstone of the construction consists in taking advantage of the fact that the Green–Naghdi theory of type II for thermo-elastic solids has a Hamiltonian structure. Thus, standard techniques to construct variational integrators can be applied to finite element discretizations of the problem. The resulting discrete-in-time trajectories are then consistent with the laws of thermodynamics for these systems: for an isolated system, they exactly conserve the total entropy, and nearly exactly conserve the total energy over exponentially long periods of time. Moreover, linear and angular momenta are also exactly conserved whenever the exact system does. For definiteness, we construct an explicit second-order accurate algorithm for affine tetrahedral elements in two and three dimensions, and demonstrate its performance with numerical examples.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational Physics - Volume 257, Part B, 15 January 2014, Pages 1423–1443
نویسندگان
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