Vol. 11, No. 5, 2016

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Propagation of waves in masonry-like solids

Maria Girardi, Cristina Padovani and Daniele Pellegrini

Vol. 11 (2016), No. 5, 505–533
Abstract

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 T delivering the Cauchy stress T corresponding to an infinitesimal strain tensor E 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 E belonging to W. We obtain the propagation condition, which involves the acoustic tensor A(E,n), which depends on both E and the direction of propagation n, 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
Milestones
Received: 23 December 2015
Revised: 20 April 2016
Accepted: 26 April 2016
Published: 25 September 2016
Authors
Maria Girardi
Institute of Information Science and Technologies “A. Faedo”
Via Moruzzi, 1
56126 Pisa
Italy
Cristina Padovani
Institute of Information Science and Technologies “A. Faedo”
Via Moruzzi, 1
56126 Pisa
Italy
Daniele Pellegrini
Institute of Information Science and Technologies “A. Faedo”
Via Moruzzi, 1
56126 Pisa
Italy