Spatial Distribution of Voids in Insulating Concrete Analyzed by Micro-CT Images and Probability Functions

<div>Low-order probability functions for the ROI of the insulating concrete specimen: (a) two-point correlation function, (b) lineal-path function, and (c) two-point cluster function (note: <svg height="6.20645pt" id="M63" style="vertical-align:-0.2063999pt" version="1.1" viewbox="-0.0498162 -6.00005 5.67144 6.20645" width="5.67144pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><g transform="matrix(.013,0,0,-0.013,0,0)"><path d="M397 380C406 395 404 411 396 425S369 451 350 451C302 451 239 372 192 294H189L199 338C214 407 207 451 180 451C152 451 83 405 30 345L48 318C87 354 117 372 125 372S135 362 127 324L55 -5L61 -12C87 -5 117 3 139 5C154 87 168 162 179 207C198 250 240 310 260 332C281 355 297 366 307 366C321 366 333 360 347 346C351 342 360 342 369 348C379 355 389 366 397 380Z" id="g50-115"></path><glyph.data ascent="3443" descent="-2856" horiz-adv-x="427" vert-adv-y="427"></glyph.data></g></svg> is the distance between two points, and <svg height="8.64656pt" id="M64" style="vertical-align:-0.04981995pt" version="1.1" viewbox="-0.0498162 -8.59674 10.1863 8.64656" width="10.1863pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><g transform="matrix(.013,0,0,-0.013,0,0)"><path d="M786 370C786 572 637 650 431 650H137L130 618C217 606 220 603 204 519L129 127C115 48 107 39 26 30L18 0H270C410 0 516 20 609 75C722 140 786 240 786 370ZM683 373C683 178 547 40 323 40C298 40 264 40 241 45C213 51 207 64 220 127L295 545C304 582 309 595 320 601C335 610 367 613 406 613C570 613 683 538 683 373Z" id="g50-69"></path><glyph.data ascent="3443" descent="-2856" horiz-adv-x="810" vert-adv-y="810"></glyph.data></g></svg> is the length of the specimen side).</div>

Advances in Materials Science and Engineering

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Figure 8

Figure 8: Spatial Distribution of Voids in Insulating Concrete Analyzed by Micro-CT Images and Probability Functions 