On the problem of some interface defect filled with a compressible fluid in a periodic stratified medium
Andrzej Kaczyński, Bohdan Monastyrskyy · Journal of Theoretical and Applied Mechanics/Mechanika Teoretyczna i Stosowana · 2004
Aperiodictwo-layeredelasticspacecontaininganinterfacedefectfilled withabarotropiccompressiblefluidisconsidered.Atinfinity,thecompositeissubjectedtoauniformlydistributedloadappliedperpendicularly tothelayering.Facesofthedefectareunderactionofconstantinternal fluid pressure.An approximatesolution to this problem is givenwithin acertainhomogenizedmodel.Theresultingsingularintegro-differential equationisobtainedandsolvedfortwotypesofdefectsbyusingananalogue of Dyson’s theorem. The influence of thefiller on the mechanical behaviouroftheconsideredbodyisanalysedandillustratedgraphically.