Abstract
AbstractIn nondestructive testing, the use of ultrasonic elastic waves has proven as one of the most successful techniques to detect structural damage such as cracks or delaminations. Especially, Structural Health Monitoring (SHM) is characterized by permanently installed actuators and sensors. As the capability of most approaches strongly depends on adequate choice of parameters like excitation signals and actuator/sensor positions, there is a growing interest in efficient and accurate simulation tools to be able to perform virtual SHM‐system design. With respect to high frequency excitation an efficient simulation method is required. This contribution presents the formulation of spectral elements for flat shells based on the first order shear deformation theory (FSDT). A load‐dependent geometrical stiffness matrix is included to take static preloads into account. The spectral element method generates an optimally concentrated mass matrix leading to significant savings of memory and to a reduction of complexity of the time integration algorithm. Dispersion curves of the FSDT are compared to those of 3D elasticity theory to determine the useful application range. Numerical and experimental examples for the propagation of waves including the influence of static prestress and the interaction with delamination are presented. (© 2010 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)
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