Bifurcation into shear bands on the Bishop and Hill polyhedron. Pt. 1, General analysis

• Autorzy: Darrieulat M. , Chenaoui A.
• Języki publikacji: EN

Abstrakty

EN

Existence and uniqueness for the reflection-transmission process originated in a viscoelastic solid layer are investigated. Wave propagation is framed within the Fourier-transform domain and the oblique incidence is modelled by a factor involving a transverse wave vector. The backward-forward propagation in the axial direction is ascertained through the sign of an energy flux. Next, a connection is established between the energy flux and an Hermitian matrix whose eigenvalues are half positive and half negative. The proof is given that if the matrix has two diagonal blocks, one of which is positive definite and the other is negative definite, the solution to the reflection-transmission problem exists and is unique. The condition on the blocks is found to hold, e.g., for obliquely propagating homogeneous waves in anisotropic elasticity or normally propagating waves in isotropic viscoelasticity.

Słowa kluczowe

EN

shear bands; rate constitutive law; Bishop and Hill polyhedron

PL

pasma ścinania; wielościan Bishopa i Hilla; prawo konstytutywne

• Wydawca: Instytut Podstawowych Problemów Techniki PAN
• Czasopismo: Archives of Mechanics
• Rocznik: 2004
• Tom: Vol. 56, nr 2
• Strony: 137--156
• Opis fizyczny: Bibliogr. 30 poz.

Twórcy

autor

Darrieulat M.

• SMS, MMF, UMR CNRS 5146, Ecole Nationale Supérieure des Mines de Saint-Etienne, 158 cours Fauriel, 42023 Saint-Etienne cedex 2, France

autor

Chenaoui A.

• LMMH, Faculté des Sciences et Techniques de Tanger B.P. 416, Tanger Morocco

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