Microstructured induced band pattern in Love wave propagation for novel nondestructive testing (NDT) procedures

Nobili, Andrea; Volpini, Valentina

doi:10.1016/j.ijengsci.2021.103545

Cited by 10 publications

(2 citation statements)

References 38 publications

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“…For example, in contact problems involving a rigid punch, it is usually assumed that no (reduced) couple tractions are exchanged between the punch and the substrate when the latter is modelled as a classic Cauchy continuum. The aftermath of this questionable assumption is discussed in terms of Love wave propagation and it is shown that it leads to ill-posed problems (Nobili and Volpini, 2021).…”

Section: Introductionmentioning

confidence: 99%

Indentation of a free beam resting on an elastic substrate with an internal lengthscale

Radi

Nobili

Güler

2023

European Journal of Mechanics - A/Solids

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Section: Introductionmentioning

confidence: 99%

Indentation of a free beam resting on an elastic substrate with an internal lengthscale

Radi

Nobili

Güler

2023

European Journal of Mechanics - A/Solids

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“…Microstructure is described in the spirit of the indeterminate (or Mindlin-Tiersten) couple-stress (CS) theory, which is a Cosserat theory wherein the CS is related to the gradient of the continuum (or macro) rotation [17][18][19]. Introduction of the microstructure has important impacts on fracture mechanics [20,21] as well as on body [22], Rayleigh [23,24], Stoneley [25] and Love [26] wave propagation, with great potential for applications [27]. It is therefore natural to investigate the variational structure of the associated Hamiltonian system.…”

Section: Introductionmentioning

confidence: 99%

Hamiltonian/Stroh formalism for anisotropic media with microstructure

Nobili

Radi

2022

Phil. Trans. R. Soc. A.

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From variational principles we develop the Hamiltonian formalism for generally anisotropic microstructured materials, in an attempt to extend the celebrated Stroh formulation. Microstructure is expressed through the indeterminate (or Mindlin–Tiersten) theory of couple-stress elasticity. The resulting canonical formalism appears in the form of a differential algebraic system of equations, which is then recast in purely differential form. This structure is due to the internal constraint that relates the micro- to the macro-rotation. The special situations of plane and antiplane deformations are also considered, and they both lead to a seven-dimensional coupled linear system of differential equations. In particular, the antiplane problem shows remarkable similarity to the theory of anisotropic plates, with which it shares the Lagrangian. Yet, unlike for plates, a classical Stroh formulation cannot be obtained, owing to the difference in the constitutive assumptions. Nonetheless, the canonical formalism brings new insight into the problem’s structure and highlights important symmetry properties. This article is part of the theme issue ‘Wave generation and transmission in multi-scale complex media and structured metamaterials (part 1)’.

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Modified BEM for scattering analysis by a flaw at interface in an anisotropic multi-layered plate

Yang

Wang

Qian

et al. 2023

Engineering Analysis with Boundary Elements

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Microstructured induced band pattern in Love wave propagation for novel nondestructive testing (NDT) procedures

Cited by 10 publications

References 38 publications

Indentation of a free beam resting on an elastic substrate with an internal lengthscale

Indentation of a free beam resting on an elastic substrate with an internal lengthscale

Hamiltonian/Stroh formalism for anisotropic media with microstructure

Modified BEM for scattering analysis by a flaw at interface in an anisotropic multi-layered plate

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