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physics.class-ph2025
Constitutive properties for isotropic energies in ideal nonlinear elasticity for solid materials: numerical evidences for invertibility and monotonicity in different stress-strain pairs
Ionel-Dumitrel Ghiba, Robert Martin, Marius Apetrii +1
As a service for the solid mechanics community we gather in this paper constitutive properties of a collective list of isotropic elastic energies for compressible materials. Of int…
math.AP2025
Propagation of Love waves in linear elastic isotropic Cosserat materials
Marius Apetrii, Emilian Bulgariu, Ionel-Dumitrel Ghiba +2
We investigate the propagation of Love waves in an isotropic half-space modelled as a linear {elastic isotropic} Cosserat material. To this aim, we show that a method commonly used…
math.AP2025
Quasiconvex relaxation of planar Biot-type energies and the role of determinant constraints
Robert J. Martin, Ionel-Dumitrel Ghiba, Maximilian Köhler +3
We derive the quasiconvex relaxation of the Biot-type energy density for planar mappings $φ\colon\mathbb{R}^2\to \m…