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Propagation of
waves in masonry-like solids
Maria Girardi, Cristina Padovani and Daniele Pellegrini |
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Vol. 11 (2016), No. 5, 505–533
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Abstract |
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This paper deals with the propagation of progressive elastic waves in masonry-like solids. The constitutive equation of masonry-like materials models the mechanical behavior of materials (such as masonry, rocks and stones) that do not withstand tensile stresses. The stress function delivering the Cauchy stress corresponding to an infinitesimal strain tensor is nonlinear and differentiable on an open subset W of the set of all strains. We consider the propagation of small amplitude elastic waves in a masonry-like body subjected to a given homogenous strain field belonging to W. We obtain the propagation condition, which involves the acoustic tensor (,), which depends on both and the direction of propagation , and prove that, due to the presence of cracks, the wave propagation velocities in masonry are lower than in a linear elastic material. |
Keywords
nonlinear elasticity, masonry-like materials, progressive
waves, acoustic tensor
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Milestones
Received: 23 December 2015
Revised: 20 April 2016
Accepted: 26 April 2016
Published: 25 September 2016
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Authors |
| Maria Girardi | |
| Institute of Information Science and
Technologies “A. Faedo” Via Moruzzi, 1 56126 Pisa Italy |
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| Cristina Padovani | |
| Institute of Information Science and
Technologies “A. Faedo” Via Moruzzi, 1 56126 Pisa Italy |
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| Daniele Pellegrini | |
| Institute of Information Science and
Technologies “A. Faedo” Via Moruzzi, 1 56126 Pisa Italy |
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