Numerical Solution of Solid Mechanics Problems Using a Boundary-Only and Truly Meshless Method

<table>Subdividing of the segment <svg height="15.4" id="M179" style="vertical-align:-3.39066pt" version="1.1" viewbox="0 0 12.6125 15.4" width="12.6125" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
<g transform="matrix(.017,-0,0,-.017,.062,11.112)"><path d="M485 501l-30 -4q-15 64 -35 90q-12 16 -33.5 22t-68.5 6h-74q-21 0 -26.5 -5t-5.5 -26v-458q0 -62 15.5 -78t83.5 -20v-28h-270v28q58 4 72 20t14 78v399q0 61 -13.5 77t-71.5 20v28h433q0 -51 10 -149z" id="x393"></path></g>
<g transform="matrix(.012,-0,0,-.012,8.675,15.187)"><path d="M244 607q0 -25 -15.5 -43t-37.5 -18q-19 0 -32 13t-13 35q0 21 15 41t39 20q20 0 32 -14t12 -34zM222 91q-29 -33 -79 -68t-75 -35q-13 0 -19 7.5t-6 31t10 65.5l62 253q5 26 -1 26q-21 0 -72 -43l-13 24q43 40 91 68t71 28q30 0 10 -78l-71 -274q-8 -30 3 -30
q16 0 76 48z" id="x1D456"></path></g>
</svg> at an evaluation point <svg height="7.9625001" id="M180" style="vertical-align:-0.0pt" version="1.1" viewbox="0 0 8.625 7.9625001" width="8.625" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
<g transform="matrix(.017,-0,0,-.017,.062,7.9)"><path d="M484 24v-24h-241v24q45 3 45 20q0 16 -33 64q-23 32 -42 63l-16 -20q-64 -76 -64 -103q0 -21 50 -24v-24h-169v24q27 1 49 19q20 16 64 74l43 56q8 9 11 14t11 14l-128 197q-15 23 -24 29.5t-28 9.5v24h250v-24q-47 -2 -47 -19q0 -22 58 -98q7 -8 13 -17l36 46
q38 50 38 64q0 11 -6.5 15.5t-24.5 6.5l-20 2v24h168v-24q-45 -8 -70 -39l-101 -126l148 -228q7 -12 30 -20z" id="x1D431"></path></g>
</svg> for (a) two-dimensional case and (b) three-dimensional case.</table>

Mathematical Problems in Engineering

fig2

Figure 2

Figure 2: Numerical Solution of Solid Mechanics Problems Using a Boundary-Only and Truly Meshless Method 