<?xml version="1.0" encoding="UTF-8"?><!DOCTYPE article  PUBLIC "-//NLM//DTD Journal Publishing DTD v3.0 20080202//EN" "http://dtd.nlm.nih.gov/publishing/3.0/journalpublishing3.dtd"><article xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" dtd-version="3.0" xml:lang="en" article-type="research article"><front><journal-meta><journal-id journal-id-type="publisher-id">OJCE</journal-id><journal-title-group><journal-title>Open Journal of Civil Engineering</journal-title></journal-title-group><issn pub-type="epub">2164-3164</issn><publisher><publisher-name>Scientific Research Publishing</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.4236/ojce.2022.124034</article-id><article-id pub-id-type="publisher-id">OJCE-122219</article-id><article-categories><subj-group subj-group-type="heading"><subject>Articles</subject></subj-group><subj-group subj-group-type="Discipline-v2"><subject>Engineering</subject></subj-group></article-categories><title-group><article-title>
 
 
  Bio-Inspired of Pyramidical Concrete Barrier Walls against the Effects of Explosion Waves
 
</article-title></title-group><contrib-group><contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Mohamed</surname><given-names>S. Zahran</given-names></name><xref ref-type="aff" rid="aff1"><sup>1</sup></xref><xref ref-type="corresp" rid="cor1"><sup>*</sup></xref></contrib><contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Waleed</surname><given-names>S. Hassan</given-names></name><xref ref-type="aff" rid="aff2"><sup>2</sup></xref></contrib><contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Ashraf</surname><given-names>Osman</given-names></name><xref ref-type="aff" rid="aff1"><sup>1</sup></xref></contrib></contrib-group><aff id="aff2"><addr-line>Civil Engineering Department, Shoubra Faculty of Engineering, Benha University, Benha, Egypt</addr-line></aff><aff id="aff1"><addr-line>Department of Civil Engineering, Military Technical College, Cairo, Egypt</addr-line></aff><pub-date pub-type="epub"><day>02</day><month>12</month><year>2022</year></pub-date><volume>12</volume><issue>04</issue><fpage>615</fpage><lpage>629</lpage><history><date date-type="received"><day>13,</day>	<month>November</month>	<year>2022</year></date><date date-type="rev-recd"><day>27,</day>	<month>December</month>	<year>2022</year>	</date><date date-type="accepted"><day>30,</day>	<month>December</month>	<year>2022</year></date></history><permissions><copyright-statement>&#169; Copyright  2014 by authors and Scientific Research Publishing Inc. </copyright-statement><copyright-year>2014</copyright-year><license><license-p>This work is licensed under the Creative Commons Attribution International License (CC BY). http://creativecommons.org/licenses/by/4.0/</license-p></license></permissions><abstract><p>
 
 
  Biomimicry is a technique that inspired solutions to engineering problems through the study of natural systems, designs and processes. Recently, the engineering Biomimicry technique has been used to inspire a protection system against the blast waves and that can mitigate, absorb, and reflect the blast waves. Hence, this work studies the effect of different geometrical configurations of concrete wall barrier
  s
   inspired 
  by
   nature against blast waves. The non-linear 3d numerical model is used to model the proposed configurations. The finite element modeling is validated with referenced experimental works. The response of the proposed structural configurations of the wall barrier is analyzed. The results showed that the new bio-inspired pyramidical structure configuration (PCBW) has a notable effect 
  on the
   mitigation of blast hazards which gave the best performance for the protection of the area behind the wall barrier with 19.5% with respect to traditional concrete barrier wall (TCBW). Also, it is concluded that nature inspiration has a great effect on designing new protection systems against the effect of blast waves
  .
 
</p></abstract><kwd-group><kwd>Explosions</kwd><kwd> Barriers Pyramid</kwd><kwd> Biomimicry Techniques</kwd><kwd> Numerical Simulation</kwd></kwd-group></article-meta></front><body><sec id="s1"><title>1. Introduction</title><p>Blast accidents are the most terrifying event in all over the world of all the types of the explosions [<xref ref-type="bibr" rid="scirp.122219-ref1">1</xref>]. An example of the deliberate explosion is bomb blasts which is the common method for spreading panic to the tourists, so it takes most of interests to the designers to be studied to secure the government institutions and the infrastructure of any country [<xref ref-type="bibr" rid="scirp.122219-ref2">2</xref>], also accidental explosions in the residential buildings because of the gas leakages cause gas explosions [<xref ref-type="bibr" rid="scirp.122219-ref3">3</xref>] [<xref ref-type="bibr" rid="scirp.122219-ref4">4</xref>] [<xref ref-type="bibr" rid="scirp.122219-ref5">5</xref>].</p><p>Abundant researchers have discussed the response of blast waves on many geometric configurations theoretically [<xref ref-type="bibr" rid="scirp.122219-ref6">6</xref>] [<xref ref-type="bibr" rid="scirp.122219-ref7">7</xref>], numerically and experimentally [<xref ref-type="bibr" rid="scirp.122219-ref8">8</xref>] [<xref ref-type="bibr" rid="scirp.122219-ref9">9</xref>] [<xref ref-type="bibr" rid="scirp.122219-ref10">10</xref>] [<xref ref-type="bibr" rid="scirp.122219-ref11">11</xref>] [<xref ref-type="bibr" rid="scirp.122219-ref12">12</xref>], such as Walid Attia, Sherif Elwan and Ismail Kotb [<xref ref-type="bibr" rid="scirp.122219-ref12">12</xref>] Discuss the performance of different types of reinforced concrete barrier walls that were subjected to blast loads and also applied a parametric study for nine RC barrier wall systems with many geometries modeled in the three dimensions with different parameters using ANSYS Autodyn software version 18.2. It has been found that the walls with the steady base of 1.0-meter-thick up to 0.5-meter-high with a confront hunch up to 2.0-meter-high are better than all other considered walls. Ahmet Tuğrul Toy and Barış Sevim [<xref ref-type="bibr" rid="scirp.122219-ref13">13</xref>] studied blasting response on the building of 5-story, considered the columns, shear walls, beams, slabs, raft foundation, masonry walls and windows using finite element software ANSYS Workbench.</p><p>TNT is exploded to give a blasting response on the building. The duration of the blast is set to 3 msec. Stresses, displacements, material status, and pressures due to blasting on some gauge points are presented. It is clear that the blast causes local damage to the load-bearing elements. Jian Liu, Chengqing Wu, Chunguang Li, Wenxue Dong, Yu Su, Jun Li, Ning Cui, Fan Zeng, Lan Dai, Qingfei Meng and Jiabao Pang [<xref ref-type="bibr" rid="scirp.122219-ref14">14</xref>] discussed two blast tests that study the blast resistance of high performance geopolymer composite walls reinforced with steel wire mesh (SWM) and aluminum. Conventional reinforced concrete (CRC) walls were also tested as control specimens. The testing conducted that the combined SWM and AF reinforced high performance geopolymer composite walls had a better blast resistance than the CRC walls. Aya El Hozayen and Mohamed hazem Mohamed Awad [<xref ref-type="bibr" rid="scirp.122219-ref15">15</xref>] studied blast loading tests in the air by using ANSYS-AUTODYN program for the simulation. The fourteen simulated models were executed in four phases that were subjected to four different masses of TNT (10, 50, 100, 500) Kg. The main target for this group results is to choose the suitable TNT mass to use in the next phases of the research to make the comparison between models, involving pressure and damage, more obvious.</p><p>The engineering Biomimicry technique [<xref ref-type="bibr" rid="scirp.122219-ref9">9</xref>] can be very powerful in conducting a protection barrier walls designs against the blast waves and that combination will distort, absorb, and reflect the blast waves as example of Biomimicry technique protection method is “Turtle shells” [<xref ref-type="bibr" rid="scirp.122219-ref16">16</xref>] - [<xref ref-type="bibr" rid="scirp.122219-ref23">23</xref>] that the curved shapes are found more effective in energy absorption as shown in <xref ref-type="fig" rid="fig1">Figure 1</xref>. Another example is “Pangolins” [<xref ref-type="bibr" rid="scirp.122219-ref24">24</xref>], protocol have keratinous scales organized in an overlapping fashion similar to fish scales. These sharp and Plate-like scales protect them from the attack of predators are as shown <xref ref-type="fig" rid="fig2">Figure 2</xref>.</p><p>Many recent conclusions have been studied on the methodology which can be conduct from the Biomimicry technique to use it at the defense industries [<xref ref-type="bibr" rid="scirp.122219-ref26">26</xref>] [<xref ref-type="bibr" rid="scirp.122219-ref27">27</xref>] [<xref ref-type="bibr" rid="scirp.122219-ref28">28</xref>]. For example, Armadillo that has overlapping protection layers with dark brown keratin in the outside layer and its inside is arranged with hexagonal bony tiles that connected by collagen as <xref ref-type="fig" rid="fig2">Figure 2</xref> researchers as example Rivera, et al.</p><p>[<xref ref-type="bibr" rid="scirp.122219-ref29">29</xref>]. Identified a lightweight compression-resistant exoskeleton in ironclad beetle. GU, et al. [<xref ref-type="bibr" rid="scirp.122219-ref30">30</xref>] studied a multilayer additively created biomimetic structure following the complex hierarchical architecture of the conch shell.</p><p>This paper discussed the effect of the blast waves on different geometrical shapes which traditional concrete barrier wall (TCBW), and bio-inspired pyramidical concrete panel (PCBW) in order to conclude the best response against the impact blast waves.</p></sec><sec id="s2"><title>2. Numerical Simulations</title><p>Numerical studies are very important to simulate the response of explosion and blast effects on different structures as executing experimental investigations is very expensive and requires a lot of machines and precautions during execution.</p><sec id="s2_1"><title>2.1. Numerical Tool: Hydrocode</title><p>A computer program that has the ability of calculating strains, stresses, velocities and spread of blast waves as a function of time and location is known as a hydrocode. In a hydrocode simulation, the effect of a continuous media subjected to dynamic loading is constrained by the conservation of mass, momentum and energy, and also the equation-of-state and constitutive relation of the media. The equation-of-state includes the response of compressibility of the continuous media and is a function of internal energy and density, while the constituent relation represents the media’s resistance to shear. In this study the hydrocode simulations on the explosion response on a concrete target are executed using AUTODYN-3D, a fully integrated and interactive hydrocode.</p><p>In AUTODYN-3D the basic equations together with the initial and boundary conditions are integrated using a finite difference scheme.</p></sec><sec id="s2_2"><title>2.2. Model Validation</title><p>This paper studies a 3D hydrocode simulations using autodyn-3d [<xref ref-type="bibr" rid="scirp.122219-ref11">11</xref>] on the response of explosion on a barrier wall target. The experimental data published by Radek Hajek [<xref ref-type="bibr" rid="scirp.122219-ref10">10</xref>] for two tests executed using a 500 g TNT.</p><p>Two experimental tests were applied for verification, in the first experimental test the pressure was measured at a clear distance 6 m from the TNT charge as a typical free field detonation. The comparison between the numerical and the experimental results as shown in <xref ref-type="fig" rid="fig3">Figure 3</xref> where the pressure recorded in the experimental test is 22 kPa while the pressure measured from the numerical model is 19.16 kPa (after excluding the atmospheric pressure which is measured in the numerical simulation in contrary to the experimental test) with a percentage of error of 12.9%.</p><p>In the second test the pressure was measured at the same clear distance 6 m from the charge but with the presence of a concrete barrier at distance 5 m from the detonation point. The height of the barrier is 1.2 m and the compressive strength of concrete used is 156 MPa. The pressure is measured at height 1.2 m from the ground level. The results of the pressure at the gauge point in the numerical test is compared to the results measured in the experimental test as shown in <xref ref-type="fig" rid="fig4">Figure 4</xref> where the pressure recorded in the experimental test is 9 kPa while the pressure measured from the numerical model is 7.77 kPa (after excluding the atmospheric pressure which is measured in the numerical simulation in contrary to the experimental test) with a percentage of error of 13.6%.</p></sec><sec id="s2_3"><title>2.3. Proposed Structural Configuration</title><p>The new structural configuration has been inspired from nature as shown in <xref ref-type="fig" rid="fig5">Figure 5</xref>. It is observed from nature that Crocodile has few creatures possess</p><p>armor that is efficient at dealing with sharp impact loading across the whole body which shaped in pyramidal structure as shown in <xref ref-type="fig" rid="fig5">Figure 5</xref> as which minimized the plate damage by dispersing the energy created from sharp-edged hitting [<xref ref-type="bibr" rid="scirp.122219-ref8">8</xref>] [<xref ref-type="bibr" rid="scirp.122219-ref31">31</xref>] [<xref ref-type="bibr" rid="scirp.122219-ref32">32</xref>].</p><p>The new structural configuration has been proposed as shown in <xref ref-type="fig" rid="fig6">Figure 6</xref> where two geometrical shapes are proposed: traditional flat barrier wall (TCP), bio-inspired pyramidical concrete panel (PCP) which are subjected to the detonation of a 10 kg comp-B detonated at a distance 2 m from the barrier wall to</p><p>detect the geometrical shape which gives the best performance in the mitigation of the blast wave resulting from the detonation.</p><p>Two structural configurations are considered for this study named TCP, and PCP. For the sake of comparison, all the compared configurations have the same weight and height as shown in <xref ref-type="fig" rid="fig6">Figure 6</xref>.</p></sec><sec id="s2_4"><title>2.4. Finite Element Model</title><p>In this model, the traditional flat barrier wall target is modeled with 1960 element</p><p>while for the bio-inspired pyramidical concrete panel target, it is modeled with 1400 element and the air domain is modeled with 1,215,555 elements and 1,254,400 nodes as shown in <xref ref-type="fig" rid="fig7">Figure 7</xref>. The concrete used in the barrier wall has a compressive strength of 35 Mpa.</p><p>The properties of the used materials are shown in <xref ref-type="table" rid="table1">Table 1</xref>.</p><p>The technique that used in the numerical simulation was Remap. The initial detonation and blast wave expansion of the explosive in free air were first calculated in a 2D domain, the result was then recalculated into a 3D space. This leads to save time and make the model more accurate.</p><p>Flow-out boundary conditions that was utilized on the outer surfaces of the air domain to enable the pressure of the blast to be wasted outside the air domain</p><table-wrap id="table1" ><label><xref ref-type="table" rid="table1">Table 1</xref></label><caption><title> Properties of used materials</title></caption><table><tbody><thead><tr><th align="center" valign="middle" >Material</th><th align="center" valign="middle" >Equation of state</th><th align="center" valign="middle" >Strength model</th><th align="center" valign="middle" >Reference density</th><th align="center" valign="middle" >Shear modulus</th></tr></thead><tr><td align="center" valign="middle" >Concrete</td><td align="center" valign="middle" >P-alpha</td><td align="center" valign="middle" >RHT</td><td align="center" valign="middle" >2.75</td><td align="center" valign="middle" >1.67e7</td></tr><tr><td align="center" valign="middle" >Comp. B</td><td align="center" valign="middle" >JWL</td><td align="center" valign="middle" >-</td><td align="center" valign="middle" >1.71</td><td align="center" valign="middle" >-</td></tr><tr><td align="center" valign="middle" >Air</td><td align="center" valign="middle" >Ideal gas</td><td align="center" valign="middle" >-</td><td align="center" valign="middle" >1.225 &#215; 10<sup>−</sup><sup>3 </sup></td><td align="center" valign="middle" >-</td></tr></tbody></table></table-wrap><p>without reflecting and making any effect on the concrete target.</p><p>The concrete target is qualified with the Lagrange solver. Comp B is modeled using Jones-Wilkins-Lee equation of state which simulates the pressure generated by chemical energy in an explosion. Air was modeled by an ideal gas equation of state, which is considered as the simplest forms of equation of state.</p></sec></sec><sec id="s3"><title>3. Numerical Results and Discussions</title><p>This section presents and discusses the results of different pressure gauges placed in different locations on the concrete wall barrier and behind it as shown in <xref ref-type="fig" rid="fig8">Figure 8</xref> to show the response of different shapes of the barrier walls.</p><p><xref ref-type="table" rid="table2">Table 2</xref> discussed the peak pressure reached for each gauge for the proposal models. The pressures vs. time histories are discussed at each gauge to make the comparison of the peak pressure at the proposed models. Also, the response of the wall barrier on the pressure behind the wall is also investigated by evaluating the pressure at gauge 7.</p><p>Gauge 1 is in the middle lower part of the concrete barrier. As shown in <xref ref-type="fig" rid="fig9">Figure 9</xref>, the results of pressure measured on this gauge shows different values of different barrier shapes and configurations on the pressure obtained in this location as we see that when comparing the pressure measured at gauge 1 for TCBW and for PCBW, the pressure measured at PCBW was 200 kpa which is slightly lower than that measured at TCBW (232 kPa). Also, Gauge 2 is in the middle part of the concrete barrier. As shown in <xref ref-type="fig" rid="fig1">Figure 1</xref>0 the results of pressure</p><p>founded on this gauge shows different values of different barrier shapes and configurations on the pressure measured in this location as the pressure obtained in the model TCBW is the highest When model PCBW pressure decreased to 2151 kPa.</p><p>Gauge 3 is in the upper middle part of the concrete barrier. As shown in <xref ref-type="fig" rid="fig1">Figure 1</xref>1, the values of pressure obtained on this gauge shows different responses of different barrier shapes and configurations on the pressure obtained in this location as the pressure obtained on the TCBW is lower (313 kPa) than the pressure obtained on the model PCBW (319 kPa). Gauge 4 is in the lower middle part of the concrete barrier in the back face. As shown in <xref ref-type="fig" rid="fig1">Figure 1</xref>2, the values of pressure obtained on this gauge shows different responses of different barrier shapes and configurations on the pressure obtained in this location as the pressure obtained in the model TCBW is higher (470 kPa) than the pressure obtained in the model PCBW 358 kPa.</p><p>Gauge 5 is in the middle part of the concrete barrier in the back face. As shown in <xref ref-type="fig" rid="fig1">Figure 1</xref>3, the values of pressure obtained on this gauge shows different responses of different barrier shapes and configurations on the pressure obtained in this location as the pressure obtained in the model TCP is 2845 kPa which is lower than the pressure obtained on the model PCP (3355 kPa). But</p><table-wrap id="table2" ><label><xref ref-type="table" rid="table2">Table 2</xref></label><caption><title> Peak pressure for gauges</title></caption><table><tbody><thead><tr><th align="center" valign="middle" >Barrier walls Shapes</th><th align="center" valign="middle" >TCBW</th><th align="center" valign="middle" >PCBW</th></tr></thead><tr><td align="center" valign="middle" >Gauge no.</td><td align="center" valign="middle"  colspan="2"  >Peak pressure (kPa)</td></tr><tr><td align="center" valign="middle" >1</td><td align="center" valign="middle" >233</td><td align="center" valign="middle" >200</td></tr><tr><td align="center" valign="middle" >2</td><td align="center" valign="middle" >2203</td><td align="center" valign="middle" >2151</td></tr><tr><td align="center" valign="middle" >3</td><td align="center" valign="middle" >313</td><td align="center" valign="middle" >319</td></tr><tr><td align="center" valign="middle" >4</td><td align="center" valign="middle" >470</td><td align="center" valign="middle" >358</td></tr><tr><td align="center" valign="middle" >5</td><td align="center" valign="middle" >2845</td><td align="center" valign="middle" >3355</td></tr><tr><td align="center" valign="middle" >6</td><td align="center" valign="middle" >870</td><td align="center" valign="middle" >683</td></tr><tr><td align="center" valign="middle" >7</td><td align="center" valign="middle" >282</td><td align="center" valign="middle" >239</td></tr></tbody></table></table-wrap><p>when the model CCP pressure decreased to 1591 kPa. Gauge 6 is in the upper part of the concrete barrier in the back face. As shown in <xref ref-type="fig" rid="fig1">Figure 1</xref>4, the values of pressure obtained on this gauge shows different responses of different barrier shapes and configurations on the pressure obtained in this location as the pressure obtained on the flat wall in the model TCP is 870 which is higher than the pressure obtained in the model PCP (870 kPa) but when model CCP pressure decreased to 550 kPa and then it increased once again to 683 kPa when at the model PCP.</p><p>Gauge 7 is at a distance 1.5 m behind the concrete barrier and this gauge shows the variation of the response of the explosion on any object or any living organisms behind the barrier. As shown in <xref ref-type="fig" rid="fig1">Figure 1</xref>5, the pressure obtained on the flat wall in the model TCP has a high value (282 kPa) then the pressure changed in the model PCBW to 227 Kp.</p><p>As we can see here from <xref ref-type="table" rid="table1">Table 1</xref> and <xref ref-type="fig" rid="fig1">Figure 1</xref>5 that the max pressure at gauge 7 (located at 1.5 m behind the wall barrier) has its maximum value (282 kPa) for the model TCBW where the figure shows the least area of the barrier wall affected by the blast wave and then as the area of the barrier wall affected by the blast wave increases the pressure recorded at gauge 7 decreases as it reaches 239 kPa in the model PCBW with a percentage of decrease of 19.5%.</p></sec><sec id="s4"><title>4. Conclusion</title><p>The engineering Biomimicry technique can be very powerful in conducting a protection barrier walls designs against the blast waves and that combination will distort, absorb, and reflect the blast waves, therefore the current study studies the effect of different geometrical configurations of concrete wall barrier inspired from nature against blast waves. The non-linear 3d numerical model is used to model the proposed configuration. The response of the proposed structural configurations of the wall barrier is analyzed. The numerical model presented has a good verification with the experimental work in the validation. After making the comparison of the different structural configurations proposed in our study, the new bio-inspired pyramidical structure configuration (PCBW) has a notable effect on the mitigation of blast hazards which gave the best performance for the protection of the area behind the wall barrier with 19.5% with respect to traditional concrete barrier wall (TCBW). Moreover, it is concluded that the nature inspiration has a great effect on designing new protection systems against different types of loads.</p></sec><sec id="s5"><title>Conflicts of Interest</title><p>The authors declare no conflicts of interest regarding the publication of this paper.</p></sec><sec id="s6"><title>Cite this paper</title><p>Zahran, M.S., Hassan, W.S. and Osman, A. (2022) Bio-Inspired of Pyramidical Concrete Barrier Walls against the Effects of Explosion Waves. 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