Abstract
This chapter presents several spectral element models for damaged waveguides. Models are developed for horizontal through-width single and multiple cracks (or delaminations), vertical through-width cracks (fiber breakages) and surface breaking cracks in 1D waveguides and vertical through-width cracks in 2D waveguides are addressed. Wave scattering due to these damage types are investigated with particular focus on composite structures. Examples shown in this chapter use both spectral element formulations previously presented, namely the FSFEM and WSFEM.
Keywords
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsReferences
Barbero EJ, Reddy JN (1991) Modeling of delamination in composite laminates using a layer-wise plate theory. Int J Solids Struct 28(3):373–388
Chattopadhya A, Gu H (1994) New higher order plate theory in modeling delamination buckling of composite laminates. AIAA J 32(8):1709–1716
Cook RD, Malkus RD, Plesha ME (1989) Concepts and applications of finite element analysis. Wiley, New York
DeIasi R, Whiteside JB (1978) Effect of moisture on epoxy resins and composites. In: Vinson JR (ed) Advanced composite materials—environmental effects. ASTM, STP 658, pp 2–20
Finn SR, Springer GR (1993) Delaminations in composite plates under transverse static or impact loads—a model. Composite Struct 23:177–190
Gadelrab RM (1996) The effect of delamination on the natural frequencies of a composite beam. J Sound Vib 197(3):283–292
Gardner HC, Haynes S, and Baboin R (eds) (1983) Standard recommended practice for examination and evaluation of pitting corrosion. Laboratory Corrosion Tests and standards. ASTM Special Technical Publication 866, pp 552–561
Garg A (1988) Delamination—a damage model in composite structures. Eng Fracture Mech 29:557–584
Godard HP (1960) The corrosion behavior of aluminium in natural waters. Canadian J Chem Eng 38:1671
Godard HP, Jepson WB, Bothwell MR, Kane RL (1967) The corrosion of light metals. Wiley, New York
Gopalakrishnana S, Roy Mahapatra D, Chakraborty A (2008) Spectral finite element methods. Springer, London
Greco F, Lonetti P, Zinno R (2002) An analytical delamination model for laminated plates including bridging effects. Int J Solids Struct 39(9):2435–2463
Han X, Favro L, Li L, Ouyang Z, Sun G, Thomas R, Ashbaugh D (2000) Quantitative thermal wave corrosion measurements on a dc-9 belly skin in the irregular paint thickness variations. In: Thompson D, Chimenti D (eds) Review of progress in quantitative nondestructive evaluation, Ames, Iowa
Hansen S, Mossawir B, Ergun A, Degertekin F, and Khuri-Yakub B (1999) Air-coupled nondestructive evaluation using micromachined ultrasonic transducers. In: IEEE ultrasonics symposium
Karadomateas GA, Schmueser DW (1988) Buckling and postbuckling of delaminated composites under compressive loads including transverse shear effects. AIAA J 26(3):337–342
Kessler SS, Spearing SM, Soutis C (2002) Damage detection in composite materials using Lamb wave methods. Smart Mater Struct 11:269–278
Khadem SE, Rezaee M (2000) Introduction of modified comparison functions for vibration analysis of a rectangular cracked plate. J Sound Vib 236(2):245–258
Krawczuk M, Palacz M, Ostachowicz W (2004) Wave propagation in plate structures for crack detection. Finite Elem Anal Design 40:991–1004
Leo DJ, Smith CA (1997) Performance tradeoffs in active–passive vibration isolation. In: Proceedings of 11th symposium on structural dynamics and control, May 12–14
Lin X, Yuan FG (2001) Diagnostic Lamb waves in an integrated piezoelectric sensor/actuator plate: analytical and experimental studies. Smart Mater Struct 10:907–913
Loos AC, Springer GS (1979) Moisture absorption of graphite-epoxy composites immersed in liquids and in humid air. J Composite Mater 13:131–147
Luo H, Hanagud S (2000) Dynamics of delaminated beams. Int J Solids Struct 37:1501–1519
Majumdar PM, Suryanarayan S (1988) Flexural vibration of beams with delamination. J Sound Vib 25(3):441–461
Mattsson E, Lindgren S (1968) Metal corrosion in the atmosphere. ASTM STP 435. American Society for Testing and Materials, Philadelphia, p 240
Mix P (1987) Introduction to nondestructive testing. Wiley, New York
Nag A, Mahapatra DR, Gopalakrishnan S (2003) Identification of delamination in a composite beam using a damaged spectral element. Structural Health Monitoring 1(1):105–126
Nakai T, Matsushita H, Yamamoto N, Arai H (2004) Effect of pitting corrosion on local strength of hold frames of bulk carriers. Marine Struct 17:403–432
Nam KW, Wei RP, Mal AK (1999) Characteristics of acoustic emission waveforms generated by fatigue crack extension from corrosion sites in aluminium alloys. In: Third FAA/DOE/NASA conference, Chicago
Ochoa OO, Reddy JN (1992) Finite element analysis of composite laminates. Kluwer, Dordrecht
Point N, Sacco E (1996) A delamination model for laminated composites. Int J Solids Struct 33(4):483–509
Rice JR, Levy N (1972) The part-through surface crack in an elastic plate. J Appl Mech 39:183–194
Roy Mahapatra D, Gopalakrishnan S (2004) Spectral finite element analysis of coupled wave propagation in composite beams with multiple delaminations and strip inclusions. Int J Solids Struct 41:1173–1208
Shen CH, Springer GS (1976) Moisture absorption and desorption of composite materials. J Composite Mater 10:2–20
Shivakumar KN, Whitcomb JN (1985) Buckling of a sub-laminate in quasi-isotropic composite laminate. J Composite Mater 19(1):2–18
Simitses GJ, Sallam S, Yin WL (1985) Effect of delamination of axially loaded homogeneous laminated plate. AIAA J 23(9):1437–1444
Springer GS (1979) Environmental effects on epoxy matrix composites. In: Tsai SW (ed) Composite materials: testing and design (fifth conference), ASTM, STP 674, pp 291–312
Sun Y, Ouyang T, Udpa S (2000) Multi-layer aircraft structure inspection using super-sensitive remote-field eddy-current system. In: Thompson D, Chimenti D (eds) Review of progress in quantitative nondestructive evaluation, Ames, Iowa
Tracy JJ, Pardoen GC (1989) Effect of delamination on the natural frequencies of composite laminates. J Composite Mater 23:1200–1215
Tsai SW, Hahn HT (1980) Introduction to composite materials. Technomics Publishing Company, Westport, pp 329–376
Valdez SHD, Soutis C (2001) A structural health monitoring system for laminated composites. In: ASME design engineering technical conference. Proceedings of 18th biennial conference on vibration and noise, Pittsburgh, PA, USA
Whitney JM, Browning CE (1978) Some anomalies associated with moisture diffusion in epoxy matrix composite materials. In: Vinson JR (ed) Advanced composite materials—environmental effects. ASTM, STP 658, pp 43–60
Williams D (1948) Dynamics loads in aeroplanes under given impulsive loads with particular reference to landing and gust loads on a large flying boat. Aeronautics Research Council, Technical Report No. 2221
Williams TO, Addessio FL (1997) A general theory for laminated plates with delaminations. Int J Solids Struct 34(16):2003–2024
Williams TO (1999) A generalized multilength scale nonlinear composite plate theory with delamination. Int J Solids Struct 36:3015–3050
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2011 Springer-Verlag London Limited
About this chapter
Cite this chapter
Gopalakrishnan, S., Ruzzene, M., Hanagud, S. (2011). Simplified Spectral Models for Damaged Waveguides. In: Computational Techniques for Structural Health Monitoring. Springer Series in Reliability Engineering. Springer, London. https://doi.org/10.1007/978-0-85729-284-1_6
Download citation
DOI: https://doi.org/10.1007/978-0-85729-284-1_6
Published:
Publisher Name: Springer, London
Print ISBN: 978-0-85729-283-4
Online ISBN: 978-0-85729-284-1
eBook Packages: EngineeringEngineering (R0)