International audienceThis 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 derive lower and upper bounds for the effective in-plane and out-of-plane elastic properties of the plate. Two applications of the general theory are considered: first, in-plane invariant polarization fields are used to recover the ”first-order” bounds proposed by Kolpakov(1999) for general heterogeneous plates; next, ”second-order bounds” for n-phase plates whose cons...
International audienceThis book gives new insight on plate models in the linear elasticity framework...
International audienceThe theory underlying upscaling of mechanical properties is now wellunderstood...
This work approaches the fields of homogenization and of materials design for the linear and nonline...
International audienceThis paper presents new bounds for heterogeneous plates which are similar to t...
International audienceThis paper presents new bounds for heterogeneous plates which are similar to t...
International audienceThe size effect obtained when studying the effective properties of plates is i...
International audienceThe size effect obtained when studying the effective properties of plates is i...
From the beginning of the twentieth century, the use of materials in the form of plates and beams ha...
From the beginning of the twentieth century, the use of materials in the form of plates and beams ha...
From the beginning of the twentieth century, the use of materials in the form of plates and beams ha...
From the beginning of the twentieth century, the use of materials in the form of plates and beams ha...
summary:In this paper we study a unidirectional and elastic fiber composite. We use the homogenizati...
summary:In this paper we study a unidirectional and elastic fiber composite. We use the homogenizati...
International audienceThe theory underlying upscaling of mechanical properties is now wellunderstood...
International audienceThis book gives new insight on plate models in the linear elasticity framework...
International audienceThis book gives new insight on plate models in the linear elasticity framework...
International audienceThe theory underlying upscaling of mechanical properties is now wellunderstood...
This work approaches the fields of homogenization and of materials design for the linear and nonline...
International audienceThis paper presents new bounds for heterogeneous plates which are similar to t...
International audienceThis paper presents new bounds for heterogeneous plates which are similar to t...
International audienceThe size effect obtained when studying the effective properties of plates is i...
International audienceThe size effect obtained when studying the effective properties of plates is i...
From the beginning of the twentieth century, the use of materials in the form of plates and beams ha...
From the beginning of the twentieth century, the use of materials in the form of plates and beams ha...
From the beginning of the twentieth century, the use of materials in the form of plates and beams ha...
From the beginning of the twentieth century, the use of materials in the form of plates and beams ha...
summary:In this paper we study a unidirectional and elastic fiber composite. We use the homogenizati...
summary:In this paper we study a unidirectional and elastic fiber composite. We use the homogenizati...
International audienceThe theory underlying upscaling of mechanical properties is now wellunderstood...
International audienceThis book gives new insight on plate models in the linear elasticity framework...
International audienceThis book gives new insight on plate models in the linear elasticity framework...
International audienceThe theory underlying upscaling of mechanical properties is now wellunderstood...
This work approaches the fields of homogenization and of materials design for the linear and nonline...