磁-微极广义热弹性介质中轴对称变形的弹性动力学

R·库玛; 鲁班德

磁-微极广义热弹性介质中轴对称变形的弹性动力学

库鲁克西察大学数学系,库鲁克西察_136 119, 印度

详细信息

中图分类号: O343.6
计量
- 文章访问数: 2950
- HTML全文浏览量: 172
- PDF下载量: 572
- 被引次数: 0
出版历程
- 收稿日期: 2008-04-10
- 修回日期: 2008-10-15
- 刊出日期: 2009-01-15

Elastodynamics of Axi-Symmetric Deformation in Magneto-Micropolar Generalized Thermoelastic Medium

Department of Mathematics, Kurukshetra University, Kurukshetra-136 119, India

摘要

摘要: 在横向磁场中，表面受机械源或热源作用时，研究电磁-微极热弹性半空间中的轴对称问题．问题的求解用到了Laplace和Hankel变换技术．作为该方法的一个应用，采用了集中源/沿圆周分布作用源（机械源和热源）．对积分变换的逆变换使用数值技术，得到物理域中的应力分量和温度分布，以及感应电场和感应电磁场．对于两种不同的广义热弹性理论(Lord-Shulman(L-S)理论和Green-Lindsay(G-L)理论)，给出了这些物理量的表达式，并用插图显示磁场的影响．还导出了一个感兴趣的特例．
- 广义磁-微极热弹性 /
- 轴对称问题 /
- 机械源和热源 /
- Laplace变换 /
- Hankel变换
Abstract: An axi-symmetric problem in the electromagnetic micropolar thermoelastic half-space whose surface is subjected to mechanical or thermal source in a transverse magnetic field is concerned with. Laplace and Hankel transform techniques were used to solve the problem. To illustrate the application of approach, two different type of sources i. e., concentrated force and thermal source over the circular region were considered. The integral transforms were inverted by using a numerical technique to obtain the components of stresses, temperature distribution and induced electric and magnetic fields. The expressions of these quantities were illustrated graphically to depict the magnetic effect for two different generalized thermoelasticity theories, i. e., Lord and Shulman (L-S theory) and Green and Lindsay (G-L theory). A particular interesting case was also deduced.
- generalized magneto-micropolar thermoelasticity /
- axi-symmetric problem /
- mechanical and thermal sources /
- Laplace transforms /
- Hankel transforms

HTML全文

参考文献(15)

[1]	Eringen A C. Linear theory of micropolar elasticity[J].J Math Mech, 1966,15（6）:909-923.
[2]	Eringen A C. Theory of micropolar fluids[J].J Math Mech,1966,15（1）:1-18.
[3]	Eringen A C. Nonlocal polar field theories[A]. In:Eringen A C, Ed.Continuum Physics[C]. Vol 4.New York:Academic Press, 1976, 205-267.
[4]	Lord H W, Shulman Y. A generalized dynamical theory of thermoelasticity[J].J Mech Phys Solid,1967,15（5）:299-309. doi: 10.1016/0022-5096(67)90024-5
[5]	Muller I M. The coldness, a universal function in thermoelastic bodies[J].Arch Ration Mech Anal,1971,41（5）:319-332.
[6]	Green A E, Laws N. On the entropy production inequality[J].Arch Ration Mech Anal,1972,45（1）:47-53.
[7]	Green A E, Lindsay K A. Thermoelasticity[J].Elasticity,1972,2（1）:1-7. doi: 10.1007/BF00045689
[8]	Suhubi E S. Thermoelastic solids[A].Part 2, Chapter 2. In:Eringen A C Ed.Continuum Physics[C]. Vol 2.New York:Academic Press, 1975.
[9]	Kaliski S. Thermo-magneto-microelasticity[J].Bull Acad Polon Sci Sr Sci Tech,1968,16(1):7-12.
[10]	Nowacki W. Some problems of micropolar magneto-elasticity[J].Proc Vibr Probl,1971,12:105-203.
[11]	Kumar R, Choudhary S. Axi-symmetric problem in time harmonic sources in micropolar elastic medium[J].Ind J Pure and Appl Math,2002,33:1169-1182.
[12]	Kumar R, Deswal S.Axi-symmetric problem in a generalized micropolar thermoelastic half-space[J].Internat J Appl Mech and Eng,2007,12(2):413-429.
[13]	Honig G, Hirdes U. A method for the numerical inversion of Laplace transform[J]. Comput and Appl Math,1984,10（1）:113-132. doi: 10.1016/0377-0427(84)90075-X
[14]	Press W H, Teukolshy S A, Vellerling W T,et al.Numerical Recipes in FORTRAN[M].2nd Ed. Cambridge:Cambridge University Press, 1986.
[15]	Eringen A C.Plane wave in nonlocal micropolar elasticity[J].Internat J Eng Sci, 1984,22（8/10）:1113-1121. doi: 10.1016/0020-7225(84)90112-5