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This is the first part of a two-part paper dedicated to a new plate theory for out-of-plane loaded thick plates where the static unknowns are those of the Kirchhoff-Love theory (3 in-plane stresses and 3 bending moments), to which six components are added representing the gradient of the bending moment. The new theory, called the Bending-Gradient plate(More)
In a previous paper from the authors, the bounds from Kelsey et al. (1958) were applied to a sandwich panel including a folded core in order to estimate its shear forces stiffness (Lebée and Sab, 2010b). The main outcome was the large discrepancy of the bounds. Recently, Lebée and Sab (2011a) suggested a new plate theory for thick plates –the(More)
The Bending-Gradient plate theory originally presented in [1] is applied to cellular sandwich panels. This theory is the extension of Reissner-Mindlin theory to heterogeneous plates. Its application clarifies common assumptions made in sandwich theory. It also enables to define a direct homogenization scheme for deriving the shear forces stiffness of(More)
In the first part (Lebée and Sab, 2010a) of this two-part paper we have presented a new plate theory for out-of-plane loaded thick plates where the static unknowns are those of the Kirchhoff-Love theory (3 inplane stresses and 3 bending moments), to which six components are added representing the gradient of the bending moment. The new theory, called(More)
Several existing numerical studies show that the effective linear properties of random composites can be accurately estimated using small volumes subjected to periodic boundary conditions more suitable than homogeneous strain or stress boundary conditionsproviding that a sufficient number of realizations are considered. Introducing the concept of(More)
In this paper, we present a formulation for coupling discrete and continuum models for both dynamic and static analyses. This kind of formulation offers the possibility of carrying out better simulations of material properties than the discrete calculations, and with both larger length scales and longer times. Using only a discrete approach to simulate a(More)
The study of railway tracks under high speed trains is one of the most important researches in the domain of transport. A reduced scale experiment with three sleepers is presented to study the dynamic behavior and the settlement of ballasted tracks. A large number of trains passing at high speeds are simulated by signals, applied with the help of hydraulic(More)
This paper presents new bounds for heterogeneous plates which are similar to the well-known Hashin-Shtrikman bounds, but take into account plate boundary conditions. The Hashin-Shtrikman variational principle is used with a self-adjoint Greeen-operator with traction-free boundary conditions proposed by the authors. This variational formulation enables to(More)