Reflection of coupled dilatational and shear waves in the generalized micropolar thermoelastic materials

被引：13

作者：

Lianngenga, Rengsi ^{[1
]}

Singh, Sanasam S. ^{[1
]}

机构：

[1] Mizoram Univ, Dept Math & Comp Sci, Aizawl 796004, Mizoram, India

来源：

JOURNAL OF VIBRATION AND CONTROL | 2020年 / 26卷 / 21-22期

关键词：

Micropolar materials; generalized thermoelasticity; dilatational wave; shear waves; amplitude ratio; energy ratio; PLANE-WAVES; FLAT BOUNDARY; INTERFACE; PROPAGATION; REFRACTION; LIQUID; SV;

D O I：

10.1177/1077546320908705

中图分类号：

O42 [声学];

学科分类号：

070206 ; 082403 ;

摘要：

The problem of wave propagation in the generalized theory of micropolar thermoelasticity under the Green-Lindsay model has been investigated. We have investigated the reflected dilatational and shear waves due to incident waves at a plane-free surface of generalized micropolar thermoelastic materials. The amplitude and energy ratios corresponding to the reflected coupled dilatational and coupled shear waves are derived using boundary conditions at the free surface. These ratios are also computed numerically for a particular model. Note that there are critical angles for the incident shear wave.

引用

页码：1948 / 1955

页数：8

共 38 条

[1] [Anonymous], 1976, WAVE PROPAGATION ELA
[2] Theory of Generalized Micropolar Thermoelastic Diffusion Under Lord-Shulman Model
Aouadi, Moncef
[J]. JOURNAL OF THERMAL STRESSES, 2009, 32 (09) : 923 - 942
[3] WAVE-PROPAGATION IN A MICROPOLAR ELASTIC HALF-SPACE
ARIMAN, T
[J]. ACTA MECHANICA, 1972, 13 (1-2) : 11 - &
[4] Boschi E., 1973, Meccanica, V8, P154, DOI 10.1007/BF02128724
[5] Reflection of plane waves by the free boundary of a porous elastic half-space
Ciarletta, M
Sumbatyan, MA
[J]. JOURNAL OF SOUND AND VIBRATION, 2003, 259 (02) : 253 - 264
[6] Codarcea-Munteanu L, 2019, STUD SYST DECIS CONT, V179, P133, DOI 10.1007/978-3-030-00084-4_7
[7] Cosserat E.M.P., 1909, Sur la theorie des corps deformables
[8] Reflection of generalized thermoelastic waves from isothermal and insulated boundaries of a half space
Das, N. C.
Lahiri, A.
Sarkar, S.
Basu, S.
[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2008, 56 (11) : 2795 - 2805
[9] Eringen A.C., 1970, UDLINE COURSE LECT, V23
[10] ERINGEN AC, 1966, J MATH MECH, V15, P909

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