Wave propagation and transient response of a fluid-filled FGM cylinder with rigid core using the inverse Laplace transform

摘要: Abstract This paper studies the wave propagation and transient response of a fluid-filled functionally graded material (FGM) cylinder with rigid core using Laplace transform. The mechanical properties FGM are assumed to vary smoothly continuously change volume concentrations constituting materials across thickness structure according specific grading pattern. is approximated by laminate model, for which solution expected gradually approach exact one as number layers' increases. For each layer cylinder, equations motion extracted based on elasticity theory. derived in form plane strain problem definition. Then, transfer matrix method, includes global that composed product local matrices applying continuity displacement stress components at interfaces neighboring layers, employed. solved domain Durbin's numerical transform inversion employed convert obtained results into time domain. Finally, effects various radius hydrodynamic field fluid subjected impulsive loads examined detail. show von-misses considerably decreased increasing core.