摘要
基于Lord--Shulman非傅里叶热弹性模型,提出了采用修正的时域间断迦辽金有限元方法(time discontin-uous Galerkin finite element method,DGFEM)求解方法.DGFEM对温度场、位移场基本未知向量及其时间导数向量在时域中分别插值;在最终的求解公式中,引入了人工阻尼.数值结果显示所发展的DGFEM较好地捕捉了波的间断并消除了热冲击作用下虚假的数值振荡,能够良好地模拟热弹性问题并具有较高的精度.
In the paper, we present a modified time discontinuous Galerkin finite element method （DGFEM） for the solution of generalized thermo-elastic coupled problems based on well-known non-Fourier Lord-Shulman theory. The general temperature and displacement fields with their time derivatives are interpolated in time domain, respectively. In order to filter out the spurious wave-front oscillations, an artificial damping scheme is implementation in the final finite element formula. Numerical results show that the present modified DGFEM proposes the good abilities and provides much more accurate solutions for ger^eralized thermo-elastic coupled behavior. It can effectively capture the discontinuities at the wave front and filter out the effects of spurious numerical oscillation induced by thermal shock.
出处
《力学学报》
EI
CSCD
北大核心
2013年第3期447-450,共4页
Chinese Journal of Theoretical and Applied Mechanics
基金
国家重点基础研究发展规划(2011CB013705)
国家重大专项(2011ZX05026-002-02)
创新研究群体研究基金(50921001)资助项目~~
