Propagation of a shock discontinuity in an elasto-plastic material: constitutive relations

• Autorzy: Dequiedt J. L. , Stolz C.
• Języki publikacji: EN

Abstrakty

EN

The shock discontinuity problem is analyzed in the case of elasto-plastic materials; the jump relations for internal state variables cannot be exhibited directly. For this purpose, we solve the internal shock structure problem, assuming that the shock front is a continuous transition in a thin layer, taking account of dissipative effects. The shock generating function P is introduced. The canonical equations of the shock structure are determined in the general case when the evolution of plasticity is derived from a pseudo-potential of dissipation D. The plane wave is analyzed for an isotropic material obeying a von Mises criterion, assuming that inside the shock the material is under pure axial compression: the existence and uniqueness results are established.

Słowa kluczowe

EN

elasto-plastic material; constitutive relations; von Mises criterion; discontinuity

PL

materiał sprężysto-plastyczny; związki konstytutywne; kryterium von Mises'a; nieciągłość

• Wydawca: Instytut Podstawowych Problemów Techniki PAN
• Czasopismo: Archives of Mechanics
• Rocznik: 2004
• Tom: Vol. 56, nr 5
• Strony: 391--410
• Opis fizyczny: Bibliogr. 16 poz.

Twórcy

autor

Dequiedt J. L.

• DCEG Gramat

autor

Stolz C.

• Ecole Polytechnique, LMS, CNRS UMR7649, Palaiseau Cedex, France

Bibliografia

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