A fast BEM for the analysis of damaged structures with bonded piezoelectric sensors

A boundary element model for structural health monitoring using piezoelectric transducers

“…For modelling piezoelectric smart structures in SHM, Leme et al [19] established a static model for the analysis of 2D plates bonded with piezoelectric sensors which are formulated as beams. In a later model developed by Benedetti et al [20], both the host structures and the piezoelectric sensors are three dimensional. On the dynamic side, Alaimo et al [21] proposed a 2D model for detecting delaminations in composite panels using piezoelectric sensors.…”

Modelling of the high-frequency fundamental symmetric Lamb wave using a new boundary element formulation

“…A well-known drawback of the BEM formulation compared to the FEM is the fully populated non-symmetric matrices leading to longer solution times for the same number of degrees of freedom. However, recent development of fast solvers [48] has significantly reduced the solution times. For material nonlinear problems, in general it is difficult to maintain the boundary-only formulation and often the non-linear region requires internal discretization.…”

“…After solving the above algebraic equations, unknown displacements and tractions are obtained in the Laplace domain. These results are converted back to the time domain through the numerical inversion of the Laplace transforms given by Durbin [34]: (48) where p, K, and T are the Laplace transform parameter, the maximum number of Laplace term, and the total time period, respectively. The real part a of the Laplace transform parameter is determined using the relationship 3 aT  , which leads to satisfactory results.…”

“…Furthermore, the number of Laplace terms can be halved by using a variant [23] of the numerical inversion formula Eq. (48). However, this variant formula leads to inaccurate results toward the end of the time period.…”

Research on Embedded Sensors for Concrete Health Monitoring Based on Ultrasonic Testing

“…Thus, these structural components require sophisticated nondestructive techniques to evaluate a range of physical phenomena, particularly the degradation of pre-existing structures and infrastructure (Benedettia, Aliabadib, & Milazzoa, 2010;Purnell, Gan, & Hutchins, 2004). Ultrasonic testing technology has been widely used and numerous studies have attempted to use the ultrasonic velocity ( g p ; in km/s) and its amplitude as measures of compressive strength (S, in MPa) and crack damage for evaluating the performance of concrete; several datasets on the correlation between the S and n p of concrete have been presented (Gregor, Franci, & Goran, 2009;Popovics, 2007).…”