期刊
ARCHIVE OF APPLIED MECHANICS
卷 92, 期 1, 页码 287-307出版社
SPRINGER
DOI: 10.1007/s00419-021-02056-3
关键词
Dynamic coupled thermoelasticity; Space-time discretization; GFDM; Meshless method; Heterogeneous
类别
资金
- National Natural Science Foundation of China [11972054]
- Natural Science Foundation of Shandong Province of China [ZR2017JL004]
A novel space-time generalized finite difference method has been developed for solving dynamic coupled thermoelasticity problems, where the velocity is introduced as an additional unknown field quantity in the numerical implementation. The accuracy of this method has been verified through numerical analysis of dynamic coupled thermoelasticity problems in different loading cases in homogeneous or heterogeneous plates.
A novel space-time generalized finite difference method based on the direct space-time discretization technique is developed for solving dynamic coupled thermoelasticity problems. By considering the time scale as an additional space dimension, the spatial and temporal domains are simultaneously discretized. In our numerical implementation, the velocity is introduced as an additional unknown field quantity for dealing with the inertia item appearing in elastodynamic equations. Some dynamic coupled thermoelasticity problems in homogeneous or heterogeneous plates under different loading cases are numerically analyzed by this method. The accuracy of the present method is verified by comparison with analytical solutions or other numerical results.
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