4 papers
An intrinsic geometric formulation of Hyper-elasticity, pressure potential and non-holonomic constraints
Boris Kolev, Rodrigue Desmorat
Isotropic hyper-elasticity, altogether with the equilibrium equation and the usual boundary conditions, are formulated directly on the body B, a three-dimensional compact and orien…
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…