Linear and Nonlinear Dynamic Analyses of Sandwich Panels with Face Sheet-to-Core Debonding

A survey of recent developments in the dynamic analysis of sandwich panels with face sheet-to-core debonding is presented. The finite element method within the ABAQUS™ code is utilized. The emphasis is directed to the procedures used to elaborate linear and nonlinear models and to predict dynamic response of the sandwich panels. Recently developed models are presented, which can be applied for structural health monitoring algorithms of real-scale sandwich panels. First, various popular theories of intact sandwich panels are briefly mentioned and a model is proposed to effectively analyse the modal dynamics of debonded and damaged (due to impact) sandwich panels. The influences of debonding size, form, and location and number of such damage incidents on the modal characteristics of sandwich panels are shown. For nonlinear analysis, models based on implicit and explicit time integration schemes are presented and dynamic responses gained with those models are discussed. Finally, questions related to debonding progression at the face sheet-core interface when dynamic loading continues with time are briefly highlighted.

[1]  O. Rabinovitch,et al.  A high-order finite element for dynamic analysis of soft-core sandwich plates , 2012 .

[2]  E. Petrov Analysis of Flutter-Induced Limit Cycle Oscillations in Gas-Turbine Structures With Friction, Gap, and Other Nonlinear Contact Interfaces , 2012 .

[3]  Anindya Ghoshal,et al.  Characterization of delamination effect on composite laminates using a new generalized layerwise approach , 2003 .

[4]  J. L. Curiel Sosa,et al.  Delamination modelling of GLARE using the extended finite element method , 2012 .

[5]  Bo-Yang Chen,et al.  Finite element modeling of nonlinear acoustics/ultrasonics for the detection of closed delaminations in composites , 2017, Ultrasonics.

[6]  Warna Karunasena,et al.  Influence of Single and Multiple Skin-Core Debonding on Free Vibration Characteristics of Innovative GFRP Sandwich Panels , 2015 .

[7]  Tomasz Sadowski,et al.  Dynamic behaviour of sandwich plates containing single/multiple debonding , 2011 .

[8]  Yeoshua Frostig,et al.  Free vibrations of delaminated unidirectional sandwich panels with a transversely flexible core : a modified Galerkin approach , 2007 .

[9]  S. N. Khaderi,et al.  Failure and toughness of bio-inspired composites: Insights from phase field modelling , 2014 .

[10]  Lorenzo Iannucci,et al.  Dynamic delamination modelling using interface elements , 2006 .

[11]  Erasmo Carrera,et al.  A Survey With Numerical Assessment of Classical and Refined Theories for the Analysis of Sandwich Plates , 2009 .

[12]  Gerard C. Pardoen,et al.  Effect of Delamination on the Natural Frequencies of Composite Laminates , 1989 .

[13]  A. Szekrényes Natural vibration-induced parametric excitation in delaminated Kirchhoff plates , 2016 .

[14]  T. Sadowski,et al.  Analysis of structural performance of sandwich plates with foam-filled aluminum hexagonal honeycomb core , 2009 .

[15]  Weena Lokuge,et al.  Effect of skin-core debonding on the dynamic behaviour of GFRP composite beams , 2013, Other Conferences.

[16]  S. Hashemi,et al.  On the Finite Element Free Vibration Analysis of Delaminated Layered Beams: A New Assembly Technique , 2016 .

[17]  András Szekrényes,et al.  Coupled flexural–longitudinal vibration of delaminated composite beams with local stability analysis , 2014 .

[18]  G. Meschke,et al.  A finite element model for propagating delamination in laminated composite plates based on the Virtual Crack Closure method , 2016 .

[19]  Jaehong Lee,et al.  Free vibration analysis of delaminated composite beams , 2000 .

[20]  Warna Karunasena,et al.  Dynamic Behaviour of Debonded GFRP Composite Beams , 2013 .

[21]  M. Nefovska-Danilović,et al.  Free vibration study of sandwich plates using a family of novel shear deformable dynamic stiffness elements: limitations and comparison with the finite element solutions , 2016 .

[22]  Li Ma,et al.  Hybrid lightweight composite pyramidal truss sandwich panels with high damping and stiffness efficiency , 2016 .

[23]  Ole Thybo Thomsen,et al.  High-order free vibration of sandwich panels with a flexible core , 2004 .

[24]  Youn Doh Ha,et al.  MODELING DYNAMIC FRACTURE AND DAMAGE IN A FIBER-REINFORCED COMPOSITE LAMINA WITH PERIDYNAMICS , 2011 .

[25]  O. Rabinovitch,et al.  On the effect of inter-laminar contact on the dynamics of locally delaminated FRP strengthened walls , 2015 .

[26]  J. E. Grady,et al.  Free vibrations of delaminated beams , 1991 .

[27]  András Szekrényes,et al.  Semi-layerwise analysis of laminated plates with nonsingular delamination—The theorem of autocontinuity , 2016 .

[28]  A. El Mahi,et al.  Effects of debonding length on the fatigue and vibration behaviour of sandwich composite , 2017 .

[29]  András Szekrényes,et al.  A special case of parametrically excited systems: Free vibration of delaminated composite beams , 2015 .

[30]  Christian N. Della,et al.  Vibration of Delaminated Composite Laminates: A Review , 2007 .

[31]  T. Sadowski,et al.  A numerical study of the dynamic response of sandwich plates initially damaged by low-velocity impact , 2012 .

[32]  Tadeusz Uhl,et al.  Modelling of nonlinear crack–wave interactions for damage detection based on ultrasound—A review , 2014 .

[33]  Tomasz Sadowski,et al.  Finite element nonlinear dynamic analysis of sandwich plates with partially detached facesheet and core , 2012 .

[34]  Robert D. Adams,et al.  The location of defects in structures from measurements of natural frequencies , 1979 .

[35]  Vyacheslav N. Burlayenko,et al.  Dynamic Analysis of Debonded Sandwich Plates with Flexible Core – Numerical Aspects and Simulation , 2011 .

[36]  Tomasz Sadowski,et al.  Influence of skin/core debonding on free vibration behavior of foam and honeycomb cored sandwich plates , 2010 .

[37]  P. M. Mujumdar,et al.  Flexural vibrations of beams with delaminations , 1988 .

[38]  Enrique López Droguett,et al.  Impact Location and Quantification on an Aluminum Sandwich Panel Using Principal Component Analysis and Linear Approximation with Maximum Entropy , 2017, Entropy.

[39]  G. Jeronimidis,et al.  Vibration of delaminated thin composite plates , 1999 .

[40]  G. LaPlante,et al.  Modeling delamination growth in composites under fatigue loadings of varying amplitudes , 2012 .

[41]  J. Jonak Aspects of fracture and cutting mechanics of materials , 2011 .

[42]  Anindya Ghoshal,et al.  Characterization of Delamination by Using Damage Indices , 2003 .

[43]  S. Samborski Numerical analysis of the DCB test configuration applicability to mechanically coupled Fiber Reinforced Laminated Composite beams , 2016 .

[44]  Pizhong Qiao,et al.  Damage detection of fiber-reinforced polymer honeycomb sandwich beams , 2005 .

[45]  Dynamic response of delaminated composite beams with intermittent contact in delaminated segments , 1994 .

[46]  V. Meruane,et al.  An inverse parallel genetic algorithm for the identification of skin/core debonding in honeycomb aluminium panels , 2015 .

[47]  Daining Fang,et al.  Debonding detection of honeycomb sandwich structures using frequency response functions , 2014 .

[48]  Anindya Ghoshal,et al.  Effect of delamination on transient history of smart composite plates , 2003 .

[49]  Nuno M. M. Maia,et al.  Damage detection in structures: From mode shape to frequency response function methods , 2003 .

[50]  Vadim V. Silberschmidt,et al.  Crack as modulator, detector and amplifier in structural health monitoring , 2012 .

[51]  Yeoshua Frostig,et al.  High Order Nonlinear Contact Effects in the Dynamic Behavior of Delaminated Sandwich Panels with a Flexible Core , 2007 .

[52]  Tomasz Sadowski,et al.  An evaluation of displacement-based finite element models used for free vibration analysis of homogeneous and composite plates , 2015 .

[53]  R. R. Kumar,et al.  Dynamic Analysis of Honeycomb Sandwich Beam with Multiple Debonds , 2012 .

[54]  Tomasz Sadowski,et al.  Nonlinear dynamic analysis of harmonically excited debonded sandwich plates using finite element modelling , 2014 .

[55]  Anindya Ghoshal,et al.  Non-linear vibration analysis of smart composite structures with discrete delamination using a refined layerwise theory , 2004 .

[56]  E. Madenci,et al.  Peridynamic modeling of delamination growth in composite laminates , 2015 .

[57]  Chyanbin Hwu,et al.  Free vibration of delaminated composite sandwich beams , 1995 .

[58]  Sathya Hanagud,et al.  Dynamics of delaminated beams , 2000 .

[59]  Ning Hu,et al.  XFEM simulation of delamination in composite laminates , 2016 .

[60]  K. Balasubramaniam,et al.  Influence of Core Compressibility, Flexibility and Transverse Shear Effects on the Response of Sandwich Structures , 2017 .

[62]  Adrian C. Orifici,et al.  Benchmark assessment of automated delamination propagation capabilities in finite element codes for static loading , 2012 .

[63]  Tomasz Sadowski,et al.  Free vibration of sandwich plates with impact-induced damage , 2009 .

[64]  Dario Di Maio,et al.  Validation of initial crack propagation under vibration fatigue by Finite Element analysis , 2017 .

[65]  N. Challamel,et al.  Out-of-plane behaviour of partially composite or sandwich beams by exact and Finite Element Methods , 2010 .

[66]  Alejandro Ortiz-Bernardin,et al.  A Maximum Entropy Approach to Assess Debonding in Honeycomb aluminum Plates , 2014, Entropy.

[67]  Oded Rabinovitch,et al.  Modeling and Dynamics of Sandwich Beams with a Viscoelastic Soft Core , 2009 .

[68]  S. Lenci,et al.  Nonlinear free dynamics of a two-layer composite beam with different boundary conditions , 2015 .

[69]  K. Malekzadeh,et al.  Free Vibration Analysis of Sandwich Plates with a Uniformly Distributed Attached Mass, Flexible Core, and Different Boundary Conditions , 2010 .

[70]  Marco Amabili,et al.  Nonlinear vibrations of laminated and sandwich rectangular plates with free edges. Part 1: Theory and numerical simulations , 2013 .

[71]  Ireneusz Kreja,et al.  A literature review on computational models for laminated composite and sandwich panels , 2011 .

[72]  P. Wriggers Computational contact mechanics , 2012 .

[73]  T. Sadowski,et al.  FE modeling of delamination growth in interlaminar fracture specimens , 2008 .

[74]  De Xie,et al.  Analysis of mixed-mode dynamic crack propagation by interface element based on virtual crack closure technique , 2007 .

[75]  Kwan-Soo Lee,et al.  Finite element simulation of crack propagation based on phase field theory , 2013 .

[76]  Hassan Haddadpour,et al.  Free and forced random vibration analysis of sandwich plates with thick viscoelastic cores , 2013 .

[77]  András Szekrényes,et al.  Quasi-periodic excitation in a delaminated composite beam , 2017 .

[78]  E. Gdoutos,et al.  Major accomplishments in composite materials and sandwich structures : an anthology of ONR sponsored research , 2009 .

[79]  T. Sadowski,et al.  Transient dynamic response of debonded sandwich plates predicted with finite element analysis , 2014 .

[80]  Y. Y. Liu,et al.  Vibrations of split beams , 1982 .

[81]  Xin Fang,et al.  Wave propagation in metamaterial lattice sandwich plates , 2016, SPIE Smart Structures and Materials + Nondestructive Evaluation and Health Monitoring.

[82]  G. Meschke,et al.  Geometrically nonlinear transient analysis of delaminated composite and sandwich plates using a layerwise displacement model with contact conditions , 2015 .

[83]  J. Liu,et al.  Numerical analysis on dynamic responses of hybrid sandwich structures with V-type corrugated cores subjected to water impact , 2015, OCEANS 2015 - MTS/IEEE Washington.

[84]  E. Wilson,et al.  Numerical Methods in Finite Element , 1976 .

[85]  Marco Amabili,et al.  Active vibration control of a composite sandwich plate , 2014 .

[86]  Colin P. Ratcliffe,et al.  Vibration Technique for Locating Delamination in a Composite Beam , 1998 .

[87]  Soheil Mohammadi,et al.  Dynamic analysis of fixed cracks in composites by the extended finite element method , 2010 .

[88]  Francesco Freddi,et al.  Phase-field modelling of failure in hybrid laminates , 2017 .

[89]  A. Milani,et al.  Parametric Study on Mechanical Responses of Corrugated-Core Sandwich Panels for Bridge Decks , 2017 .

[90]  Woonbong Hwang,et al.  Effect of debonding on natural frequencies and frequency response functions of honeycomb sandwich beams , 2002 .

[91]  M. Ray,et al.  Active damping of geometrically nonlinear vibrations of sandwich plates with fuzzy fiber reinforced composite facings , 2017 .