A Saint-Venant principle for shear band localization

DOI10.1007/S00033-003-3202-5zbMATH Open1035.74028OpenAlexW1972618245MaRDI QIDQ1417465

W. E. Olmstead, Cornelius O. Horgan

Publication date: 5 January 2004

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00033-003-3202-5

zbMATH Keywords

maximum principlesthermal energysecond-order nonlinear parabolic partial differential equationsspatial temperature decaythermoviscoplastic solidstwo-dimensional shear band formationupper bound on temperature

Mathematics Subject Classification ID

Saint-Venant's principle (74G50) Large-strain, rate-dependent theories of plasticity (74C20) Thermal effects in solid mechanics (74F05)

Related Items (3)

Steady-state shear band propagation under dynamic conditions ⋮ On Saint-Venant's principle in finite anti-plane shear: An energy approach ⋮ Two-scale shear band evolution by local partition of unity

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