A strain-softening bar revisited

DOI10.1002/ZAMM.201400155zbMath1335.74049OpenAlexW1516269099MaRDI QIDQ2803460

Serge N. Gavrilov, Ekaterina V. Shishkina

Publication date: 4 May 2016

Published in: ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/zamm.201400155

zbMATH Keywords

phase transitionsstrain softening1D elastodynamics

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Dynamics of phase boundaries in solids (74N20)

Cites Work

• On stretching of a bar capable of undergoing phase transitions
• On the emergence and propagation of a phase boundary in an elastic bar with a suddenly applied end load
• On the failure of ellipticity and the emergence of discontinuous deformation gradients in plane finite elastostatics
• Configuration forces as basic concepts of continuum physics
• Pulse attenuation by kinetically active phase boundary scattering during displacive phase transformations.
• The entropy rate admissibility criterion for solutions of hyperbolic conservation laws
• Dynamics of a free phase boundary in an infinite bar with variable cross-sectional area
• Transient Solutions for One-Dimensional Problems With Strain Softening

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