REFLECTION OF RELAY-LEMB WAVES FROM THE END OF THE HEMISPHERE WITH MIXED BOUNDARY CONDITIONS
DOI:
https://doi.org/10.18372/2310-5461.50.15694Keywords:
elastic waves, mixed boundary conditions, energy analysisAbstract
The article is devoted to the analysis of the wave field, which is excited when the first normal propagating wave is reflected from the end of the elastic hemisphere, part of which is rigidly clamped, and part is free from stresses. The boundary value problem belongs to the class of mixed boundary value problems, the characteristic feature of which is the presence of a local feature of stresses at the point of change of the type of boundary conditions.
References
Городецкая Н. С., Гринченко В. Т., Старовойт И. В. Особенности возбуждения нор-мальных волн при изгибных колебаниях полу-слоя. Акустичний вісник. 2007. Т. 10, № 3. С. 42–54.
Гринченко В. Т., Городецкая Н. С., Старовойт И. В. Антисимметричные колебания по-луслоя с защемленным торцом. Акустичний ві-сник. 2009. Т. 12, № 1. С. 32–42.
Shen Wang, Songling Huang, Wei Zhao, Xue Wang. Approach to Lamb wave lateral crack quantification in elastic plate based on reflection and transmission coefficients surfaces. Research in nondestructive evaluation. 2010. Vol. 21. P. 213–223. DOI: 10.1080/09349847.2010.516060
Sinclair G. B., Beisheim J. R., Kardak A. A. On the detection of stress singularities in finite ele-ment analysis. Journal of applied mechanics. 2019. Vol. 86, №2. P. 021005 (18 pages). DOI: 10.1115/1.4041766
Bostrom A. Review of hypersingular integral equa-tion method for crack scattering and application to modeling of ultrasonic nondestructive evaluation. Applied Mechanics Reviews. July 2003. Vol 56. №4. P. 383–405. DOI: 10.1115/1.1574522
Deng-How Tsaur, Kao-Hao Chang, Ming-Sheng Hsu. A series solution for the diffraction of SH waves by a vertical edge crack. Journal of applied mechanics. July 2011. Vol. 78. P. 044502 (4 pages). DOI: 10.1115/1.4003745
Gorodetska N.S., Nikishov V.I., Shcherbak T.M. On the scattering of surface waves by underwater obstacles. International journal of fluid mechan-ic’s research. 2019. Vol.46. №1. P. 295–308. DOI: 10.1615/InterJFluidMechRes.v46.i4.20
Боджи Д. Действие поверхностных нагрузок на систему из двух соединенных вдоль одной из граней упругих клиньев, изготовленных из различных материалов и имеющих произ-вольные углы раствора. Труды американского общества инженеров-механиков. 1971. Том 38. №2. С.87–96.
Rice J. R. Elastic fracture mechanics concepts for interfacial crack. 1988. Journal of applied me-chanics. Vol. 55, P. 98–103. DOI: 10.1115/1.3173668
Прудников А. П., Брычков Ю. А., Маричев О. И. Интегралы и ряды. Москва: Наука, 1981. 798 с.
