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F F mg Ti Tiji xit1 xitvi( t)t Fivit1 vit tm 1 t t t ti i iiMD <strong>for</strong> rigid polygonsjij 1 t it tIiiT ii Y A n t nF n v n min v , F tij ijij ijljiv jtwo dimensionsF ijF ijv jjA = overlap areaPolygonal particlesArea detected by usingsimple geometry, e.g.area S 1 A i S 2 A j can bedecomposed in triangles.Many different types ofcontacts, when consider-ing polygonal particles.Some types have to betreated separately.