Abstract. The paper deals with numerical simulations of wave propagation in reinforced concrete for damage detection purposes. A novel formulation of a 3D spectral element was proposed. The reinforcement modelled as the truss spectral element was embedded in the 3D solid spectral finite element. Numerical simulations have been conducted on cuboid concrete specimens reinforced with two steel bars. Different degradation models were considered to study the real behaviour of bended beams. In wave propagation modelling the spectral element method (SEM) plays an important role [16]. The SEM method is based on the high-order finite elements, usually of class C 0 . As a special feature, the elements have their nodes distributed both in physical space and in parent elements according to the Gauss-Lobatto-Legendre quadrature rule. As a consequence, it is possible to obtain a diagonal mass matrix at the element level which in turn, when appropriately taken into account, leads to fast and efficient time marching scheme. A multitude of aspects pertaining to SEM, especially for modelling of seismic waves (e.g. [17,18]) as well as for wave propagation for SHM purposes (e.g. [19]), have been already discussed. Spectral elements have been also developed for structural type finite elements like rods, beams or plates (e.g. [14,15,[20][21][22][23][24][25][26][27]), with the attention paid to theoretical aspects of wave propagation phenomena. In paper [28], 3-dimensional spectral elements have been presented, with application to damage detection in metal plate structures. Unbounded structures need a special treatment to preserve the dissipation of the energy in the infinite. The use of absorbing layers has been proposed in [29], on the example of a 1-dimensional rod and a 3-dimensional half-cylindrical shell. As far as damage detection is concerned, various techniques applied to simulation of damage effects have been considered. One can refer for instance to [20][21][22] where discontinuities in the form of cracks/caverns or point masses have been accounted for. A semi-analytical approach in analysis of flexural wave propagation through a slender beam, with a breathing edge-crack, is developed in [30]. In the context of non-homogenous material reference [31] discusses the use of the SEM with functionally graded material (FGM). To the authors' best knowledge, the problem of wave propagation in damaged reinforced concrete with the use of SEM has been not investigated.The present study focuses on development of a novel 3D spectral element for wave propagation in reinforced concrete subjected to mechanical degradation. Numerical simulations have been conducted on cuboid concrete specimens reinforced with two steel bars. Different degradation models were considered to reflect the real behaviour of bended beams described in [11].