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

<table>Results of <svg height="11.9625" id="M226" style="vertical-align:-3.39066pt" version="1.1" viewbox="0 0 14.9125 11.9625" width="14.9125" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
<g transform="matrix(.017,-0,0,-.017,.062,7.675)"><use xlink:href="#x1D462"></use></g>
<g transform="matrix(.012,-0,0,-.012,9.213,11.762)"><use xlink:href="#x1D45F"></use></g>
</svg>, <svg height="12.325" id="M227" style="vertical-align:-3.39066pt" version="1.1" viewbox="0 0 26.0625 12.325" width="26.0625" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
<g transform="matrix(.017,-0,0,-.017,5.725,8.038)"><use xlink:href="#x1D70E"></use></g>
<g transform="matrix(.012,-0,0,-.012,15.338,12.112)"><use xlink:href="#x1D45F"></use></g><g transform="matrix(.012,-0,0,-.012,20.359,12.112)"><use xlink:href="#x1D45F"></use></g>
</svg>, and <svg height="12.325" id="M228" style="vertical-align:-3.39066pt" version="1.1" viewbox="0 0 22.200001 12.325" width="22.200001" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
<g transform="matrix(.017,-0,0,-.017,.062,8.038)"><use xlink:href="#x1D70E"></use></g>
<g transform="matrix(.012,-0,0,-.012,9.663,12.112)"><path d="M475 507q0 -83 -20 -172t-56 -167.5t-93.5 -129t-125.5 -50.5q-157 0 -157 227q0 78 21.5 164t59 161t96.5 123.5t126 48.5q79 0 114 -58t35 -147zM391 522q0 155 -81 155q-62 0 -111 -82.5t-73 -200.5h253q12 81 12 128zM373 346h-255q-12 -91 -12 -150q0 -72 20 -123
t63 -51q34 0 64 28.5t52.5 77t39 103t28.5 115.5z" id="x1D703"></path></g><g transform="matrix(.012,-0,0,-.012,15.588,12.112)"><use xlink:href="#x1D703"></use></g>
</svg> for the three-dimensional Lamé problem.</table>

Mathematical Problems in Engineering

fig9

Figure 9

Figure 9: Numerical Solution of Solid Mechanics Problems Using a Boundary-Only and Truly Meshless Method 