Explicit Solutions to Single Scattering of SH Waves with a Radially Gradient Interphase Layer

<div>Comparison of <svg height="9.41642pt" id="M156" style="vertical-align:-3.27283pt" version="1.1" viewbox="-0.0498162 -6.14359 10.7353 9.41642" width="10.7353pt" 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="M548 455L523 469C505 448 490 439 461 439C416 439 374 447 316 447C144 447 23 310 23 161C23 47 89 -12 179 -12C312 -12 429 106 429 244C429 303 419 344 368 386L371 388C404 383 440 378 474 378C507 378 530 411 548 455ZM350 274C350 191 308 25 198 25C144 25 108 75 108 157C108 264 170 395 276 395C296 395 320 384 333 360C347 334 350 316 350 274Z"></path></g><g transform="matrix(.0091,0,0,-0.0091,6.76,3.132)"><path d="M319 325C317 349 306 409 297 431C277 440 250 449 209 449C117 449 57 389 57 319C57 243 122 209 182 182C232 159 261 135 261 91C261 48 227 21 190 21C130 21 85 79 68 145L41 140C41 104 51 36 58 22C75 7 121 -12 172 -12C252 -12 337 35 337 126C337 195 286 231 210 262C166 281 126 304 126 348C126 388 152 417 191 417C240 417 274 378 294 318L319 325Z"></path></g></svg> between current theoretical solutions and the approximate method for interphase layer types (a) Case 1 and (b) Case 2 at different frequencies. For a comparison, the results for cases without interphase layers were also plotted as the black solid lines.</div>

Shock and Vibration

fig2

Figure 2

Figure 2: Explicit Solutions to Single Scattering of SH Waves with a Radially Gradient Interphase Layer 