弹性和电-微拉伸广义热弹性固体中的平面波在不完全边界上的传播

R·库玛; 鲁班德

doi:10.3879/j.issn.1000-0887.2009.11.010

弹性和电-微拉伸广义热弹性固体中的平面波在不完全边界上的传播

doi: 10.3879/j.issn.1000-0887.2009.11.010

库卢谢特拉大学数学系,库卢谢特拉-136 119, 印度

详细信息

中图分类号: O33;O343.6
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出版历程
- 收稿日期: 2008-08-07
- 修回日期: 2009-09-28
- 刊出日期: 2009-11-15

Propagation of Plane Waves at the Imperfect Boundary of an Elastic and Electro-Microstretch Generalized Thermoelastic Solid

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

摘要

摘要: 讨论了平面波入射在弹性固体（介质^M）和电-微拉伸广义热弹性固体（介质M）的界面上时，波的反射和透射问题．介质M中存在5种反射波（纵向位移（LD）波、热（T）波、〖HJ1mm〗纵向微拉伸（LM）波和2种横向耦合位移和微转动波（CD（Ⅰ）和CD(Ⅱ)波））；介质^M中存在2种透射波（纵（P）波和横（SV）波）．得到不完全边界上不同反射波和透射波的振幅比，并导出法向力刚度、切向力刚度和完全粘接时的振幅比．对LD波和CD（Ⅰ）波，图示出振幅比随不同入射角的变化．显示出反射波和透射波的振幅比受到介质的刚度、电场、拉伸和热特性的影响．推演出一些有价值的特例
- 振幅比 /
- 电-微拉伸热弹性固体 /
- 法向力刚度 /
- 切向力刚度 /
- 完全粘接
Abstract: The problem of reflection and transm ission of plane waves incident on the contact surface of an elastic solid (medium M) and electro-micro stretch generalized thermoe lastic solid (medium M), was discussed. It is found that there exist five reflected waves (longitudinal displacement (LD) wave, thermal (T) wave, longitudinalm icrostretch (LM) wave and two coupled transverse displacement and microrotational (CD(Ⅰ) and CD (Ⅱ) waves)) in medium Mand two transmitted waves (longitudinal (P) and tran sverse (SV) waves) in medium M. The amplitude ratios of different reflected and transmitted waves were obtained for an miperfect boundary, and deduced fo r no rm al fo rce stiffness, tran sverse force stiffness and perfect bond ing. The variations of am plitude ratios with angle of incidence were depicted graphically for LD-wave, and CD(Ⅰ)-wave. It is noticed that the am plitude ratios of reflected and transmitted waves are affected by stiffness, electric field, stretch and thermal properties of the media. Some particular cases of interest were deduced from the present investigation.
- amplitude ratios /
- electro-microstretch thermoe lastic solid /
- normal force stiffness /
- transverse force stiffness /
- welded contact

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