Abstract
This work deals with numerical investigations on nonlinear wave propagation in order to detect micro-damage in composite material. For this purpose two models are under consideration. First, a wave guide with linear-elastic material behavior with and without a crack is analyzed. The nonlinearity of this model is due to the strain tensor as well as the contact of the crack surfaces. Secondly, a hyper-elastic waveguide with a nonlinear constitutive description is considered. It is shown, that the nonlinearity gives rise to second harmonic wave modes which which may be considered as an indicator of micro-damage and material deterioration.Keywords:
nonlinear elastic waves, material deterioration, hyper-elasticityReferences
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[2] Holzapfel G., Nonlinear Solid Mechanics – A Continuum Approach for Engineering, John Wiley & Sons, Inc., 2000.
[3] Murnaghan F.D., Finite Deformation of an Elastic Solid, Dover Publications, New York, 1951.
[4] Rauter N., Analyse des Einflusses der Werkstoffdegradation auf die nichtlineare Wellenausbreitung in unidirektionalen Compositen – Experimentelle Untersuchung mit numerischer Analyse und Modellbildung, PhD-Thesis, Institute of Mechanics, Helmut-Schmidt-University/University of the Federal Armed Forces Hamburg, to appear 2017.
[5] Rauter N., Lammering R., Development of a hyper-elastic transversely isotropic material law for the simulation of the higher harmonic Lamb wave generation in composite structures, Proc. Int. Workshop Struct. Health Monit., Stanford, CA, USA, Sept. 1–3, 2015, 8 pages, 2015.
[6] Reese S., Raible T., Wriggers P., Finite element modelling of orthotropic material behaviour in pneumatic membranes, International Journal of Solids and Structures, 38(52): 9525–9544, 2001.
[7] Ungethüm A., Lammering R., Damage localization of carbon fibre reinforced plastic plates, Proc. Appl. Math. Mech., 10(1): 19–22, 2010.
