5 papers
Explicit Harmonic Structure Of Bidimensional Linear Strain-Gradient Elasticity
Nicolas Auffray, Houssam Andoul-Anziz, Boris Desmorat
In the perspective of homogenization theory, strain-gradient elasticity is a strategy to describe the overall behaviour of materials with coarse mesostructure. In this approach, th…
On the determination of plane and axial symmetries in linear Elasticity and Piezo-electricity
Marc Olive, Boris Desmorat, Boris Kolev +1
We formulate necessary and sufficient conditions for a unit vector n to generate a plane or axial symmetry of a constitutive tensor. For the elasticity tensor, these conditions con…
Recovering the normal form of an elasticity tensor
Sophie Abramian, Boris Desmorat, Rodrigue Desmorat +2
We propose an effective geometrical approach to recover the normal form of a given Elasticity tensor, once we know its symmetry class. In other words, we produce a rotation which b…
Reduced algebraic conditions for plane/axial tensorial symmetries
Marc Olive, Boris Desmorat, Boris Kolev +1
In this article, we formulate necessary and sufficient polynomial equations for the existence of a symmetry plane or an order-two axial symmetry for a totally symmetric tensor of o…
Generic separating sets for 3D elasticity tensors
Rodrigue Desmorat, Nicolas Auffray, Boris Desmorat +2
We define what is a generic separating set of invariant functions (a.k.a. a weak functional basis) for tensors. We produce then two generic separating sets of polynomial invariants…