The Friedlander–Heaviside series for describing pressure-time history of reflected blast waves
| dc.contributor.author | Bortolan Neto, L | en_AU |
| dc.date.accessioned | 2023-05-15T23:06:05Z | en_AU |
| dc.date.available | 2023-05-15T23:06:05Z | en_AU |
| dc.date.issued | 2023-01-20 | en_AU |
| dc.date.statistics | 2023-05-04 | en_AU |
| dc.description.abstract | The detonation of an explosive charge within a building or confined space will often result in reflected blast waves off the surrounding structure. Even though an extensive number of studies have examined this problem, only simplified mathematical descriptions of the pressure-time history are available. As these descriptions lack the fidelity required for detailed analysis of structural response to reflected blast loading, engineers and designers often must rely on expensive and resource intensive test data and validated numerical simulations to estimate dynamic structural loading. Other approaches which use pressure-impulse approximations provide reasonable predictions for estimating the global mechanical response of a structure, but they are unsuitable for evaluating localised structural failure. The Friedlander–Heaviside series is here introduced for describing the full dynamic overpressure-time history of reflected blast waves. This series provides a reasonably simple formulation that can describe with high accuracy the sequence of pressure peaks observed in pressure-time history curves from reflected blast waves. The Friedlander–Heaviside series is constructed by applying the superposition principle to a number of individual pulses formed by combining the well-known Friedlander equation with the Heaviside step function. Examples from the literature are used to validate the Friedlander–Heaviside series for describing pressure-time history of reflected blast waves. Once the required parameters have been established, the Friedlander–Heaviside series can then be readily applied in conjunction with advanced structural models for obtaining detailed evaluations of structural response to reflected blast loadings. | en_AU |
| dc.description.sponsorship | This paper includes research that was supported by DMTC Limited (Australia). The author has prepared this paper in accordance with the intellectual property rights granted to partners from the original DMTC project. The author is also grateful to Dr Alexander Gargano and Vanessa Pickerd of Defence Science and Technology Group (Australia) for their comments and helpful discussions. | en_AU |
| dc.identifier.citation | Bortolan Neto, L. (2023) The Friedlander–Heaviside series for describing pressure-time history of reflected blast waves. Social Science Research Network, preprint, 1-32. doi:10.2139/ssrn.4332008 | en_AU |
| dc.identifier.issn | 1556-5068 | en_AU |
| dc.identifier.journaltitle | Social Science Research Network | en_AU |
| dc.identifier.pagination | 1-32 | en_AU |
| dc.identifier.uri | http://dx.doi.org/10.2139/ssrn.4332008 | en_AU |
| dc.identifier.uri | https://apo.ansto.gov.au/handle/10238/15034 | en_AU |
| dc.language.iso | en | en_AU |
| dc.publisher | Elsevier | en_AU |
| dc.subject | Explosions | en_AU |
| dc.subject | Shock waves | en_AU |
| dc.subject | Simulation | en_AU |
| dc.subject | Mathematical models | en_AU |
| dc.subject | Buildings | en_AU |
| dc.subject | Structural models | en_AU |
| dc.title | The Friedlander–Heaviside series for describing pressure-time history of reflected blast waves | en_AU |
| dc.type | Journal Article | en_AU |