非傅里叶热弹性的时域间断迦辽金有限元方法

郭攀; 武文华; 吴志刚

doi:10.6052/0459-1879-12-217

非傅里叶热弹性的时域间断迦辽金有限元方法

doi: 10.6052/0459-1879-12-217

1.
大连理工大学运载工程与力学学部工程力学系, 工业装备结构分析国家重点实验室, 大连116024
2. 大连理工大学运载工程与力学学部航空航天学院, 工业装备结构分析国家重点实验室, 大连116024

基金项目: 国家重点基础研究发展规划(2011CB013705),国家重大专项(2011ZX05026-002-02)和创新研究群体研究基金(50921001)资助项目.

详细信息

通讯作者:
武文华,副教授,主要研究方向:计算力学.E-mail:lxyuhua@dlut.edu.cn

中图分类号: TK121
计量
- 文章访问数: 1204
- HTML全文浏览量: 58
- PDF下载量: 711
- 被引次数: 0
出版历程
- 收稿日期: 2012-12-06
- 修回日期: 2013-02-26
- 刊出日期: 2013-05-18

TIME DISCONTINUOUS GALERKIN FINITE ELEMENT METHOD FOR GENERALIZED THERMO-ELASTIC WAVE OF NON-FOURIER EFFECTS

Guo Pan¹,
Wu Wenhua^{1
, ,},
Wu Zhigang²

1.
The State Key Laboratory for Structural Analysis of Industrial Equipment, Department of Engineering Mechanics, Faculty of Vehicle Engineering and Mechanics, Dalian University of Technology, Dalian 116024, China
2. The State Key Laboratory for Structural Analysis of Industrial Equipment, School of Aeronautics and Astronautics, Faculty of Vehicle Engineering and Mechanics, Dalian University of Technology, Dalian 116024, China

Funds: The project was supported by the National Basic Research Program of China (2011CB013705), National Science and Technology Major Project of the Ministry of Science and Technology of China (2011ZX05026-002-02) and Innovation Research Group Research Fund (50921001).

摘要

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 discontinuousGalerkin 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.
- 广义热弹性 /
- 时域间断迦辽金有限元方法 /
- 热冲击 /
- 数值振荡
Abstract: 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 generalized 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.
- generalized thermo-elastic theory /
- DGFEM /
- thermal shock /
- numerical oscillation

HTML全文

参考文献(10)

田晓耕,沈亚鹏.广义热弹性问题研究进展.力学进展,2012, 42(1): 18-28 (Tian Xiaogeng,Shen Yapeng. Research progress in generalized thermoelastic problems. Advances in Mechanics, 2012, 42(1): 18-28 (in Chinese))

蒋方明, 刘登瀛. 非傅里叶导热的最新研究进展. 力学进展, 2002, 32(1): 128-139 (Jiang Fangming, Liu Dengying. New progress on non-fourier heat conduction. Advances in Mechanics, 2002, 32(1): 128-139 (in Chinese))

Tamma KK, Namburu RR. Computational approaches with applications to nonclassical and classical thermo-mechanical problems. Applied Mechanics Reviews, 1997, 50(9): 514-551

刘静等编著. 微米／纳米尺度传热学. 北京:科学出版社, 2001 (Liu Jing. Micro/nano Scale Heat Transfer. Beijing: Science Press, 2001 (in Chinese))

Lord H, Shulman Y. A generalized dynamical theory of thermo-elasticity. Journal of the Mechanics and Physics of Solids, 1967, 15: 299-309

Green AE, Lindsay KE. Thermoelasticity. Journal of Elasticity, 1972, 2: 1-7

Green AE, Naghdi PM. Thermoelasticity without energy dissipation. Journal of Elasticity, 1993, 31: 189-208

Strunin DV, Melnik RVN, Roberts AJ. Coupled thermomechanical waves in hyperbolic thermoelasticity. Journal of Thermal Stresses, 2001, 24: 121-140

Prevost JH, Tao D. Finite element analysis of dynamic coupled thermoelasticity problems with relaxation times. Journal of Applied Mechanics, 1983, 50: 817-822

Wu WH, Li XK. Application of the time discontinuous Galerkin finite element method to heat wave simulation. International Journal of Heat and Mass Transfer, 2006, 49 (9-10): 1679-1684

施引文献

资源附件(0)

访问统计