TY - JOUR
T1 - Edwards's statistical mechanics of crumpling networks in crushed self-avoiding sheets with finite bending rigidity
AU - Balankin, Alexander S.
AU - Flores-Cano, Leonardo
N1 - Publisher Copyright:
© 2015 American Physical Society.
PY - 2015/3/5
Y1 - 2015/3/5
N2 - This paper is devoted to the crumpling of thin matter. The Edwards-like statistical mechanics of crumpling networks in a crushed self-avoiding sheet with finite bending rigidity is developed. The statistical distribution of crease lengths is derived. The relationship between sheet packing density and hydrostatic pressure is established. The entropic contribution to the crumpling network rigidity is outlined. The effects of plastic deformations and sheet self-contacts on crumpling mechanics are discussed. Theoretical predictions are in good agreement with available experimental data and results of numerical simulations. Thus, the findings of this work provide further insight into the physics of crumpling and mechanical properties of crumpled soft matter.
AB - This paper is devoted to the crumpling of thin matter. The Edwards-like statistical mechanics of crumpling networks in a crushed self-avoiding sheet with finite bending rigidity is developed. The statistical distribution of crease lengths is derived. The relationship between sheet packing density and hydrostatic pressure is established. The entropic contribution to the crumpling network rigidity is outlined. The effects of plastic deformations and sheet self-contacts on crumpling mechanics are discussed. Theoretical predictions are in good agreement with available experimental data and results of numerical simulations. Thus, the findings of this work provide further insight into the physics of crumpling and mechanical properties of crumpled soft matter.
UR - http://www.scopus.com/inward/record.url?scp=84924778098&partnerID=8YFLogxK
U2 - 10.1103/PhysRevE.91.032109
DO - 10.1103/PhysRevE.91.032109
M3 - Artículo
AN - SCOPUS:84924778098
SN - 1539-3755
VL - 91
JO - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
JF - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
IS - 3
M1 - 032109
ER -