Identification of Roughness with Optimal Contact Response with respect to Real Contact Area and Normal Stiffness

<div>Topography of the rough profiles <svg height="12.4698pt" id="M61" style="vertical-align:-3.18147pt" version="1.1" viewbox="-0.0498162 -9.28833 31.0105 12.4698" width="31.0105pt" 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="M669 636L663 650H260C230 650 221 652 208 675H186C177 621 162 548 144 481L173 479C195 534 211 560 226 578C248 604 266 615 373 615H544C460 511 114 112 23 16L31 0H561C577 34 611 135 622 170L594 182C566 125 544 88 515 65C481 38 416 35 319 35C249 35 197 37 152 41C270 184 542 501 669 636Z"></path></g><g transform="matrix(.0091,0,0,-0.0091,8.931,3.132)"><path d="M567 167L534 181C505 122 482 94 454 70C428 46 385 42 330 42C288 42 248 44 235 55C216 70 213 91 220 130L295 528C310 609 314 611 401 618L409 650H140L131 618C222 611 224 609 209 528L133 126C118 47 108 41 25 33L18 0H497C514 33 554 126 567 167Z"></path></g><g transform="matrix(.013,0,0,-0.013,14.553,0)"><path d="M300 -147C201 -63 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Mathematical Problems in Engineering

fig2

Figure 2

Figure 2: Identification of Roughness with Optimal Contact Response with respect to Real Contact Area and Normal Stiffness 