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Nonlinear Guided Waves and Thermal Stresses

  • Francesco Lanza di ScaleaEmail author
  • Ankit Srivastava
  • Claudio Nucera
Chapter

Abstract

The first part of the chapter covers theoretical considerations and numerical modeling of higher-harmonic generation in elastic waves propagating in nonlinear prismatic waveguides, including plates, rods, and waveguides of arbitrary cross-sections and/or of inhomogeneous and anisotropic composition. The main purpose of these analyses is to identify suitable combinations of primary and secondary guided modes for the waveguide. The last part of the chapter examines the role of thermal stresses in higher-harmonic wave generation. The latter topic is relevant to the prevention of thermal buckling of slender structural components (e.g., rail tracks).

Keywords

Nondestructive testing Ultrasonic waves Waveguides Nonlinearity Nonlinear elasticity Wave equation Perturbation theory Finite element analysis Semi-analytical finite element method Defect detection Thermal stress measurement Thermal buckling plates Rods Rails 

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Copyright information

© Springer International Publishing AG, part of Springer Nature 2019

Authors and Affiliations

  • Francesco Lanza di Scalea
    • 1
    Email author
  • Ankit Srivastava
    • 2
  • Claudio Nucera
    • 3
  1. 1.Department of Structural EngineeringUniversity of California San DiegoLa JollaUSA
  2. 2.Illinois Institute of TechnologyChicagoUSA
  3. 3.Barclays Investment BankLondonUK

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