On theasymptotics ofRayleigh typewavesfor singular propagation directions onthesurface of anisotropic elastic body

uland I (space-time series) aretreated asquasi- 1.fIn a physical sense,thephenomenon ofye- shearandquasi-longitudin al 1 ~~~~~~~~~stresses ~~~~~the boundary conditions, itsatisfies theequation lemanrd thegeneral schemeofconstructing asymp-tie v(-p2/3y) = )anddescrbes theproximity ofthe totics, usingthetechnique ofthespace-time ray caustic of 0)arid descriete p i ofthe ~~~~~~The preserit work(withregard totheaboveiri- wherep»>1,tiStime,arid vistheAiryfunctiori. equality forA0)aimstocoristruct thepririciple Theexparisiori withtheAiryfurictiori isjustthe termsoftheexparisiori (1)(withk =0) forthe arisatz applied fordescribirig thewavefield riear a caseofcoiricidirig phasevelocities (atty=0)oftwo simple caustic. fIn (1), theexpressiori withtheAiryquasi-shear wavesatcertairi, irigerieral, isolated