A strip-element method for analyzing wave scattering by a crack in an immersed axisymmetric laminated composite cylinder

A strip-element method is presented for analyzing wave scattering by a crack in a laminated composite cylinder immersed in a fluid. In this approach, two-nodal-line and three-nodal-line axisymmetric strip elements are employed to model the fluid and laminated cylinder, respectively. Governing equations for the fluid and solid elements in the frequency domain are derived with a variational method and the Hamilton principle. The associated characteristic equations in the wave-number domain are obtained through Fourier transform techniques. Responses of the fluid-loaded cylinder to a line load are found by a modal-analysis method and inverse Fourier transform techniques. Numerical results are presented for cracked laminated composite cylinders submerged in water. Water is found to have strong influence on the scattered wave fields in a cracked laminated composite cylinder.

[1]  E. Telatar,et al.  Reflection coefficient null of acoustic waves at a liquid–anisotropic‐solid interface , 1989 .

[2]  A. Atalar.  Reflection of ultrasonic waves at a liquid–cubic–solid interface , 1983 .

[3]  T. Chou,et al.  Non-Linear Deformation and Failure Behavior of Carbon/Glass Hybrid Laminates , 1987 .

[4]  Jan Drewes Achenbach,et al.  Strip Element Method to Analyze Wave Scattering by Cracks in Anisotropic Laminated Plates , 1995 .

[5]  A. Nayfeh.  Elastic wave reflection from liquid-anisotropic substrate interfaces , 1991 .

[6]  Yoseph Bar-Cohen,et al.  Analysis of leaky Lamb waves in bonded plates , 1989 .

[7]  Stanley B. Dong,et al.  Propagating waves and edge vibrations in anisotropic composite cylinders , 1984 .

[8]  Jan Drewes Achenbach,et al.  A Strip Element Method for Stress Analysis of Anisotropic Linearly Elastic Solids , 1994 .

[9]  Jan Drewes Achenbach,et al.  A combined finite element method/boundary element method technique for V(z) curves of anisotropic-layer/substrate configurations , 1992 .

[10]  D. E. Chimenti,et al.  Propagation of guided waves in fluid‐coupled plates of fiber‐reinforced composite , 1988 .

[11]  Huai Min Shang,et al.  A Strip Element Method for Analyzing Wave Scattering by a Crack in an Immersed Composite Laminate , 1999 .

[12]  L. Yam,et al.  Free vibration of a partially fluid-filled cross-ply laminated composite circular cylindrical shell , 1997 .

[13]  A. Nayfeh,et al.  Ultrasonic reflection and guided wave propagation in biaxially laminated composite plates , 1990 .

[14]  Adnan H. Nayfeh,et al.  Surface wave characteristics of fluid‐loaded multilayered media , 1988 .

[15]  T. P. Leung,et al.  Free vibration of a laminated composite circular cylindrical shell partially filled with fluid , 1997 .

[16]  C. T. Sun,et al.  Fluid-structure interaction analysis of a thick-section composite cylinder subjected to underwater blast loading , 1997 .

[17]  Vinay Dayal,et al.  Leaky Lamb waves in an anisotropic plate. I: An exact solution and experiments , 1989 .

[18]  Dale E. Chimenti,et al.  Ultrasonic Wave Reflection From Liquid-Coupled Orthotropic Plates With Application to Fibrous Composites , 1988 .

[19]  D. Bogy,et al.  Elastic Wave Scattering From an Interface Crack in a Layered Half Space Submerged in Water: Part I: Applied Tractions at the Liquid-Solid Interface , 1986 .