Now showing items 1-10 of 98
On the spectral analysis of residual stress in finite elasticity
(Oxford university press, 2017)
In the literature, residual stress problems are generally formulated using classical invariants despite most of them having an unclear physical meaning and not having experimental advantages. In this article, we give an ...
Rate type constitutive equations for fiber reinforced nonlinearly vicoelastic solids using spectral invariants
tIn this paper we are interested in developing constitutive equations for fiber-reinforced nonlinearlyviscoelastic solids. It has been shown that constitutive equations for such bodies can be expressed in termsof a complete ...
A novel spectral formulation for transversely isotropic magneto-elasticity
Classical invariants, despite most of them having unclear physical interpretation and not having experimental advantages, have been extensively used in modeling nonlinear magneto-elastic materials. In this paper, a new set ...
An anisotropic model for the mullins effect in magnetoactive rubber-likematerials
(Journal of mechanics of materials and structures, 2016-12)
An anisotropic phenomenological model is proposed to describe the Mullins phenomena for magnetoactive elastomers. The model is based on the use of direction-dependent damage parameters and a set of spectral invariants ...
New sets of spectral invariants for electro-elastic bodies with one and two families of fibres
New sets of spectral invariants are proposed to study the behaviour of electro-elastic bodies composed of a matrix filled with one or two (in general non-orthogonal) families of 'fibres', where both the matrix and the ...
Spectral analysis for perturbed operators on Carnot groups
(Birkhauser Verlag AG, 2017)
© 2017, Springer International Publishing. Let G be a Carnot group of homogeneous dimension M and Δ its horizontal sublaplacian. For α∈ (0 , M) we show that operators of the form Hα: = (- Δ) α+ V have no singular spectrum, ...
Unitary invariants of spectral measures-I.
(SABER ULA, 2006)
The left invariant metric in the general linear group
(Elsevier Science, 2014-12)
Left invariant metrics induced by the p-norms of the trace in the matrix algebra are studied on the general linear group. By means of the Euler–Lagrange equations, existence and uniqueness of extremal paths for the length ...
Spectral sequences in Conley's theory
(Cambridge Univ PressNew YorkEUA, 2010)