Hybrid SAFE-GMM approach for predictive modeling of guided wave propagation in layered media

Abstract Dispersion curve, and displacement modeshapes of multilayer structures can be obtained using Semi-Analytical Finite Element (SAFE) method. Stress mode shapes calculated from SAFE were discontinuous at the interface, because SAFE method formulation does not apply stress continuity at the interface. A case study of 1 mm aluminum-1 mm steel double-layer plate is presented, showing the SAFE stress predictions at the interface. The results observed were discontinuity of out-of-plane stress modeshapes at the interface. Mesh refinement was performed at the interface to study the convergence of stress mode shapes at the interface, yet the stress discontinuity problem was not solved. A fine mesh at the interface was created by using variable mesh techniques. This also did not provide continuous stress mode shape at the interface. Therefore, in this paper, a novel hybrid SAFE-GMM (Global Matrix Method) approach was used to obtain stress mode shapes accurately and efficiently. GMM develops the displacement and stress equations for individual layers in a multilayered structure and assembles a global matrix by applying the boundary and interface continuity conditions. A case of practical importance, CFRP strengthened concrete structure was analyzed using the SAFE-GMM approach. The drawback of the SAFE technique to this case is also presented, and it shows that the hybrid SAFE-GMM approach gave the interface stresses accurately.

[1]  Li Cheng,et al.  A fully-coupled dynamic model for the fundamental shear horizontal wave generation in a PZT activated SHM system , 2019, Mechanical Systems and Signal Processing.

[2]  Van Velsor,et al.  Circumferential guided waves in elastic and viscoelastic multilayered annuli , 2009 .

[3]  Joseph L. Rose,et al.  Ultrasonic Guided Waves in Solid Media , 2014 .

[4]  T. Siwowski,et al.  Experimental study on CFRP-strengthened steel beams , 2018, Composites Part B: Engineering.

[5]  K. He,et al.  Experimental and numerical investigations on flexural behaviour of CFRP reinforced concrete-filled stainless steel CHS tubes , 2018 .

[6]  S. Mourad,et al.  Flexural strength of steel I-beams reinforced with CFRP sheets at tension flange , 2018, Journal of Constructional Steel Research.

[7]  Victor Giurgiutiu,et al.  Acoustic emission source modeling in a plate using buried moment tensors , 2017, Smart Structures and Materials + Nondestructive Evaluation and Health Monitoring.

[8]  Victor Giurgiutiu,et al.  Scattering of Lamb waves from a discontinuity: An improved analytical approach , 2016 .

[9]  Victor Giurgiutiu,et al.  A Helmholtz Potential Approach to the Analysis of Guided Wave Generation During Acoustic Emission Events , 2018 .

[10]  K. Y. Dai,et al.  Dispersion of waves and characteristic wave surfaces in functionally graded piezoelectric plates , 2003 .

[11]  Piervincenzo Rizzo,et al.  Multimodal structural health monitoring based on active and passive sensing , 2018 .

[12]  Victor Giurgiutiu,et al.  Predictive 1D and 2D guided-wave propagation in composite plates using the SAFE approach , 2018, Smart Structures and Materials + Nondestructive Evaluation and Health Monitoring.

[13]  Wing Kong Chiu,et al.  Lamb wave–based detection of a controlled disbond in a lap joint , 2018 .

[14]  L. Knopoff.  A matrix method for elastic wave problems , 1964 .

[15]  Subir Patra,et al.  Material State Awareness for Composites Part I: Precursor Damage Analysis Using Ultrasonic Guided Coda Wave Interferometry (CWI) , 2017, Materials.

[16]  F. Oudah,et al.  Research progress on the fatigue performance of RC beams strengthened in flexure using Fiber Reinforced Polymers , 2013 .

[17]  Richard L. Weaver,et al.  Forced response of a cylindrical waveguide with simulation of the wavenumber extraction problem , 2004 .

[18]  Hongguang Li,et al.  Propagation of guided waves in pressure vessel , 2015 .

[19]  Stanley B. Dong,et al.  Edge Vibrations in Laminated Composite Plates , 1985 .

[20]  J. Achenbach,et al.  Wave motion in an isotropic elastic layer generated by a time-harmonic point load of arbitrary direction , 1999 .

[21]  R. Stoneley,et al.  Elastic waves at the surface of separation of two solids , 1924 .

[22]  M. A. Erki,et al.  Fatigue Behavior of Reinforced Concrete Beams Strengthened with Carbon Fiber Reinforced Plastic Laminates , 2004 .

[23]  X. Zhao,et al.  Experimental testing on CFRP strengthened thin steel plates under shear loading , 2016 .

[24]  Bin Lin,et al.  Active health monitoring of TN32 dry cask using a scaled down model , 2018, Smart Structures and Materials + Nondestructive Evaluation and Health Monitoring.

[25]  Victor Giurgiutiu,et al.  Recent Advances in Piezoelectric Wafer Active Sensors for Structural Health Monitoring Applications , 2019, Sensors.

[26]  K. Y. Lam,et al.  Characteristics of waves in a functionally graded cylinder , 2002 .

[27]  Ertugrul Taciroglu,et al.  Analysis of laminated piezoelectric circular cylinders under axisymmetric mechanical and electrical loads with a semi-analytic finite element method , 2004 .

[28]  M. Shahawy,et al.  Static and Fatigue Performance of RC Beams Strengthened with CFRP Laminates , 1999 .

[29]  Victor Giurgiutiu,et al.  Experimental validation of an analytical method to predict lamb wave scattering from a discontinuity , 2018, Smart Materials and Structures.

[30]  Xiao Ling Zhao,et al.  FRP-Strengthened Metallic Structures , 2013 .

[31]  J. Reddy.  Mechanics of laminated composite plates and shells : theory and analysis , 1996 .

[32]  Xuefeng Chen,et al.  A guided wave dispersion compensation method based on compressed sensing , 2018 .

[33]  S. Finnveden.  Evaluation of modal density and group velocity by a finite element method , 2004 .

[34]  Ali Nadjai,et al.  Aspects of behaviour of CFRP reinforced concrete beams in bending , 2008 .

[35]  L. Gavric.  Computation of propagative waves in free rail using a finite element technique , 1995 .

[36]  Anne-Christine Hladky-Hennion,et al.  Finite element analysis of the propagation of acoustic waves in waveguides , 1996 .

[37]  Ivan Bartoli,et al.  Modeling wave propagation in damped waveguides of arbitrary cross-section , 2006, SPIE Smart Structures and Materials + Nondestructive Evaluation and Health Monitoring.

[38]  Victor Giurgiutiu,et al.  Guided wave excitation and propagation in damped composite plates , 2019 .

[39]  Ivan Bartoli,et al.  A semi-analytical finite element formulation for modeling stress wave propagation in axisymmetric damped waveguides , 2008 .

[40]  T. Pham,et al.  Flexural-strengthening efficiency of cfrp sheets for unbonded post-tensioned concrete T-beams , 2018, Engineering Structures.

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

[42]  Xuefeng Chen,et al.  Damage identification for plate-like structures using ultrasonic guided wave based on improved MUSIC method , 2018 .

[43]  W. Thomson,et al.  Transmission of Elastic Waves through a Stratified Solid Medium , 1950 .

[44]  Stanley B. Dong,et al.  On Natural Vibrations and Waves in Laminated Orthotropic Plates , 1972 .