New formulation of graph-theoretical approach in the mechanics of granular materials

摘要: Abstract This paper proposes a new expression of discrete-mechanical quantities in granular assembly and formulation the graph-theoretical approach mechanics materials. New mechanical for void, i.e., void force, displacement, etc., are introduced relations between particle, contact given very simple form using discretized Schaefer operators which also newly defined this paper. The expressions virtual work principle quantities. Through these considerations meaning clarified. proposed theory is limited to case circular particles dense packing. However, it shown that present easily extended more general shape particle arbitrary packing not necessarily dense.