Erratum for “Incident and Normally Reflected Overpressure and Impulse for Detonations of Spherical High Explosives in Free Air” by Jinwon Shin, Andrew S. Whittaker, and David Cormie

Shin, Jinwon; Whittaker, Andrew S.; Cormie, David

doi:10.1061/(ASCE)ST.1943-541X.0002605

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Jan 27, 2020

Erratum for “Incident and Normally Reflected Overpressure and Impulse for Detonations of Spherical High Explosives in Free Air” by Jinwon Shin, Andrew S. Whittaker, and David Cormie

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Authors: Jinwon Shin [email protected], Andrew S. Whittaker, F.ASCE [email protected], and David Cormie [email protected]Author Affiliations

Publication: Journal of Structural Engineering

Volume 146, Issue 4

https://doi.org/10.1061/(ASCE)ST.1943-541X.0002605

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The following corrections should be made to the original paper.

The units for arrival time in the last column of Table 4, and for arrival time and positive phase duration in the last three columns of Table 5, should read

microsecond / {kg}^{1 / 3}

or

μs / {kg}^{1 / 3}

. The corrected Tables 4 and 5 are provided herein.

Table 4. Polynomial constants for incident and normally reflected peak overpressure, impulse, and arrival time for

0.0553 \leq Z \leq 40 m / k g^{1 / 3}

Parameter	$P_{s}$ (kPa)	$I_{s} / W^{1 / 3}$ ( $kPa \cdot ms / {kg}^{1 / 3}$ )	$P_{r}$ (kPa)	$I_{r} / W^{1 / 3}$ ( $kPa \cdot ms / {kg}^{1 / 3}$ )	$t_{a} / W^{1 / 3}$ ( $μs / {kg}^{1 / 3}$ )
$K_{0}$	$- 0.1239$	0.05671	0.1365	0.2044	$- 0.1674$
$K_{1}$	0.8705	0.8363	0.9839	0.6997	0.4994
$C_{0}$	2.666	2.21	4.094	3.105	3.351
$C_{1}$	$- 2.769$	$- 0.5499$	$- 2.439$	$- 2.032$	3.627
$C_{2}$	$- 0.06247$	$- 2.981$	$- 1.212$	1.36	$- 1.24$
$C_{3}$	2.676	2.746	$- 1.301$	$- 1.081$	$- 3.226$
$C_{4}$	0.06411	9.522	3.953	$- 2.305$	3.144
$C_{5}$	$- 4.994$	$- 13.01$	1.69	3.143	6.048
$C_{6}$	0.181	$- 8.244$	$- 4.843$	1.151	$- 3.093$
$C_{7}$	5.374	12.51	0.2562	$- 2.901$	$- 5.209$
$C_{8}$	$- 0.4159$	$- 0.5068$	2.207	1.003	—
$C_{9}$	$- 2.715$	2.939	$- 0.7651$	—	—
$C_{10}$	$- 0.05814$	1.023	$- 0.1251$	—	—
$C_{11}$	0.6429	$- 4.748$	0.0638	—	—
$C_{12}$	0.208	1.028	—	—	—
$C_{13}$	$- 0.1394$	$- 3.996$	—	—	—
$C_{14}$	—	1.703	—	—	—
$C_{15}$	—	0.5049	—	—	—
$C_{16}$	—	0.8065	—	—	—
$C_{17}$	—	2.006	—	—	—
$C_{18}$	—	$- 1.44$	—	—	—
$C_{19}$	—	0.6624	—	—	—
$C_{20}$	—	$- 2.118$	—	—	—
$C_{21}$	—	0.08177	—	—	—
$C_{22}$	—	1.678	—	—	—
$C_{23}$	—	$- 0.6299$	—	—	—
$C_{24}$	—	$- 0.1429$	—	—	—
$C_{25}$	—	0.07183	—	—	—

Table 5. Polynomial constants for incident and normally reflected peak overpressure, impulse, and arrival time for ranges of scaled distance

0.0553 \leq Z < 0.5 m / k g^{1 / 3}

and

0.5 \leq Z \leq 40 m / k g^{1 / 3}

, and for positive phase duration for

0.83 \leq Z \leq 40 m / k g^{1 / 3}

Parameter	$P_{s}$ (kPa)		$I_{s} / W^{1 / 3}$ ( $kPa \cdot ms / {kg}^{1 / 3}$ )		$P_{r}$ (kPa)		$I_{r} / W^{1 / 3}$ ( $kPa \cdot ms / {kg}^{1 / 3}$ )		$t_{a} / W^{1 / 3}$ ( $μs / {kg}^{1 / 3}$ )		$t_{o} / W^{1 / 3}$ ( $μs / {kg}^{1 / 3}$ )
Parameter	$Z < 0.5$	$Z \geq 0.5$	$Z < 0.5$	$Z \geq 0.5$	$Z < 0.5$	$Z \geq 0.5$	$Z < 0.5$	$Z \geq 0.5$	$Z < 0.5$	$Z \geq 0.5$	$Z > 0.83$
$K_{0}$	$- 1.888$	0.165	1.206	$- 0.5596$	1.613	$- 0.4784$	0.2159	0.8609	0.8806	0.267	$- 0.2280$
$K_{1}$	$- 2.603$	1.339	1.62	1.175	1.98	0.9222	0.7506	1.265	0.4936	0.7019	0.9841
$C_{0}$	4.225	3.266397	2.30772	1.76	5.74903	2.251	3.0934	3.839	0.36193	2.061	3.063
$C_{1}$	0.4076	$- 1.505$	$- 1.136$	$- 0.6897$	$- 1.472$	$- 2.444$	$- 1.892$	$- 2.128$	1.932	2.148	0.9747
$C_{2}$	$- 0.1996$	$- 0.7112$	1.322	$- 0.3701$	0.1963	1.752	2.003	1.794	0.3132	1.98	0.4196
$C_{3}$	0.2126	$- 0.02506$	0.7022	$- 0.1443$	1.416	$- 1.329$	2.239	$- 1.256$	0.6178	$- 2.805$	$- 2.577$
$C_{4}$	0.826	1.842	$- 0.2583$	1.512	$- 1.999$	$- 1.514$	0.6488	0.4165	—	1.121	2.549
$C_{5}$	$- 0.1719$	$- 1.865$	$- 0.5376$	$- 0.7939$	$- 2.735$	4.729	—	$- 0.05467$	—	$- 0.09299$	$- 0.7938$
$C_{6}$	$- 1.779$	0.742	$- 1.223$	$- 1.814$	3.556	$- 3.051$	—	0.0009718	—	—	—
$C_{7}$	$- 0.587$	$- 0.114$	0.2194	1.639	1.131	$- 2.02$	—	—	—	—	—
$C_{8}$	1.192	0.002556	1.198	$- 0.2572$	$- 0.8315$	3.52	—	—	—	—	—
$C_{9}$	1.346	—	$- 0.8426$	0.4388	0.5336	$- 2.843$	—	—	—	—	—
$C_{10}$	0.2694	—	0.6599	0.1685	$- 1.676$	3.272	—	—	—	—	—
$C_{11}$	$- 1.024$	—	—	$- 1.029$	$- 0.2248$	$- 1.233$	—	—	—	—	—
$C_{12}$	$- 0.503$	—	—	0.5988	1.074	$- 0.6161$	—	—	—	—	—
$C_{13}$	0.3686	—	—	$- 0.08299$	$- 0.2745$	1.211	—	—	—	—	—
$C_{14}$	0.1284	—	—	—	—	$- 3.61$	—	—	—	—	—
$C_{15}$	$- 0.05418$	—	—	—	—	2.491	—	—	—	—	—

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Journal of Structural Engineering

Volume 146 • Issue 4 • April 2020

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Received: Oct 9, 2019

Accepted: Oct 14, 2019

Published online: Jan 27, 2020

Published in print: Apr 1, 2020

Discussion open until: Jun 27, 2020

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Jinwon Shin [email protected]

Assistant Professor, Dept. of Architectural Engineering, Catholic Kwandong Univ., 24 Beomil-ro 579beon-gil Naegok-dong Gangneung-si Kangwon-do 25601, South Korea (corresponding author). Email: [email protected]

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Andrew S. Whittaker, F.ASCE [email protected]

Professor, Dept. of Civil, Structural, and Environmental Engineering, Univ. at Buffalo, 230 Ketter Hall, Buffalo, NY 14260. Email: [email protected]

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David Cormie [email protected]

Associate Director, Resilience, Security and Risk, Arup, 13 Fitzroy St., London W1T 4BQ, UK. Email: [email protected]

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