… FN deformations based on the elastic deformation of a single fiber segment statistically.
Accordingly, we assume that the microscopic deformations of a fiber segment comply with the …

… Then we introduce elastic material behavior at the fiber level, which implies multilinear …
stiffness tensor of the planar fiber networks, as function of fiber stiffness and porosity (Section 3.2). …

… We consider a particular in-plane elastic orthotropy observed experimentally for various
types of paper, namely: S1111 + S2222 − 2S1122 = S1212, where Sijkm are components of the …

… Although these materials may, at a first look, appear different they are in fact very similar
from a structural point of view: fiber network materials are all composed of structural fibers …

… To make a comprehensive understanding on their in-plane and especially out-of-plane
elastic properties, a mechanics model is established and analytical expressions for the in-…

… fiber networks to study their linear and nonlinear elasticity. In contrast to previous 2D models,
these 3D networks … with respect to fiber stretching elasticity, suggesting that bending may …

… To compute the force in each fiber predicted by classical linear elasticity, we began with the
… the ith fiber and the neutral axis. As the continuum stress is supported by n fibers in a cross …

… The analytic investigation using micromechanics on a hybrid fiber network, which we present …
When we apply the well documented continuum elasticity theory to the system, we actually …

… fiber network embedded in a matrix is studied in this work. The network is composed from
linear elastic fibers … matrix and the ends of fibers intersecting the respective plane (red dots). …

… with uniformly distributed orientation, each passing through a point distributed according
to a Poisson point process in a square plane domain of dimension L , denoted the “window of …