Weak solutions to anti-plane boundary value problems in a linear theory of elasticity with microstructure

• Autorzy: Shmoylova E. , Potapenko S. , Dorfmann A.
• Języki publikacji: EN

Abstrakty

EN

In this paper we formulate the interior and exterior Dirichlet and Neumann boundary value problems of anti-plane rnicropolar elasticity in a weak (Sobolev) space setting, we show that these problems are well-posed and the corresponding weak solutions depend continuously on the data. We show that the problem of torsion of a rnicropolar beam of (non-smooth) arbitrary cross-section can be reduced to an interior Neumann boundary value problem in antiplane micropolar elasticity and consider an example which demonstrates the significance of material microstructure.

Słowa kluczowe

EN

anti-plane micropolar elasticity; Sobolev spaces; boundary integral equation method

PL

antypłaska sprężystość mikropolarna; przestrzenie Soboleva; metoda brzegowych równań całkowych

• Wydawca: Instytut Podstawowych Problemów Techniki PAN
• Czasopismo: Archives of Mechanics
• Rocznik: 2007
• Tom: Vol. 59, nr 6
• Strony: 519--539
• Opis fizyczny: Bibliogr. 21 poz.

Twórcy

autor

Shmoylova E.

autor

Potapenko S.

autor

Dorfmann A.

• Department of Civil and Environmental Engineering, Tufts University Medford, Massachusetts 02155, USA

Bibliografia

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