Non-dimensional pressure–impulse diagrams for blast-loaded reinforced concrete beam columns referred to different failure modes

Abstract

The pressure–impulse diagram is commonly used to assess the damage level of structural components under explosion. Non-dimensional pressure–impulse diagrams referred to different failure modes was obtained using a new methodology in this article. Nine non-dimensional key parameters were first proposed on basis of the Euler beam theory. Considering the shear failure, an elastic–plastic method to calculate the dynamic response of reinforced concrete beam columns was then proposed for different failure modes. Three failure categories, for example, bending failure, shear failure, and combined shear and bending failure, were considered. The threshold between the three failure modes was determined using non-dimensional pressure–impulse curves. A systematic parametric study was conducted to investigate the effects of different non-dimensional parameters on the dynamic response and the failure modes of reinforced concrete beam column. Parametric study shows that the nine non-dimensional key parameters are sufficient to calculate the dynamic response of reinforced concrete beam columns. Moreover, present study shows that the tangent modulus of direct shear stress–slip relation has a great influence on the failure modes. Beam columns with a smaller tangent modulus are more likely to generate combined shear and bending failure mode.

Pressure−impulse diagram method – a fundamental review

“… geometrical dimensions (Wesevich and Oswald, 2005;Yanchao Shi et al, 2008;Thilakarathna et al, 2010;Colombo and Martinelli, 2012;W. Wang et al, 2012b;Jun Li and Hao, 2013;Stolz et al, 2014)  ductility (Krauthammer et al, 2008;Razaqpur et al, 2009;El-Dakhakhni et al, 2010;Stolz et al, 2014)  strain rate (Razaqpur et al, 2009)  damping ratio (Krauthammer et al, 2008;  stiffness (Yu et al, 2018)  longitudinal and hoop reinforcement ratios (Symonds, 1953;Yanchao Shi et al, 2008;Colombo and Martinelli, 2012;Jun Li and Hao, 2013)  reinforcement configuration (Wesevich and Oswald, 2005;Thiagarajan et al, 2013)  material nonlinearity (X Huang et al, 2010;Dragos and Wu, 2014;Parlin et al, 2014)  concrete strength (Symonds, 1953;Yanchao Shi et al, 2008;Colombo and Martinelli, 2012;Jun Li and Hao, 2013;Parlin et al, 2014)  reinforcement strength (Symonds, 1953;Yanchao Shi et al, 2008)  strength and thickness of fibre reinforced polymer retrofitting wraps and strips (Mutalib and Hao, 2011)  axial force (Fallah and Louca, 2007;El-Dakhakhni et al, 2009;Astarlioglu et al, 2013;Chernin et al, 2016;Yu et al, 2018)  bending and shear capacity (Gombeda et al, 2017;Yu et al, 2018)  number of degrees of freedom…”

“…W. Ma et al, 2007;H. J. Shi et al, 2012;Fallah et al, 2013;Yu et al, 2018). The latter method is discussed in Sections 3.3 and 4.1.…”

A Predictive Model for Damage Assessment and Deformation in Blast Walls Resulted by Hydrocarbon Explosions

“…ey are a series of the asymptotic curves inscribed in the vertical and horizontal asymptotes. To nd the points on the curves, either we use analytical methods [21,22] or numerical methods [23] and sometimes FEM analysis [24]. In the x-y plane, the vertical axis displays F max /K e y el , whereas horizontal axis displays x I/y el K e M e , I is the impulse, and F max is the maximum explosion forces.…”

“…It is much easier than the classical method of the pressure-impulse diagram and FEM analysis. As shown in [21][22][23][24], and also in this paper, the high-delity analytical or FEM models cannot predict explosion response without knowledge about explosion overpressure and pulse duration. e inaccuracy of the P-I diagram in the asymptotic region is clearly shown in this paper via Tables 1 and 2.…”

“…e inaccuracy of the P-I diagram in the asymptotic region is clearly shown in this paper via Tables 1 and 2. Regardless of that, the P-I diagram is an active eld of research for blast-resistive structure as seen in recent publications [22][23][24]. erefore, an alternative method is required to replace the P-I diagram in asymptotic region.…”