On the driving traction acting on a surface of strain discontinuity in a continuum

Keywords

Traction (geology), Discontinuity (linguistics), Materials science, Mechanics, Classical mechanics

References

• Introduction to phase transformations in condensed systemsM. E. Fine — 1964
• Supersonic Flow And Shock WavesR. Courant, K. Friedrichs — 1948
• Hyperbolic Systems of Conservation Laws and the Mathematical Theory of Shock WavesPeter D. Lax — 1987
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• Finite deformation by mechanical twinningRichard D. James — 1981
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• Non-elliptic elastic materials and the modeling of elastic-plastic behavior for finite deformationRohan Abeyaratne, James K. Knowles — 1987
• The Riemann problem for a van der Waals fluid with entropy rate admissibility criterion — Isothermal caseHarumi Hattori — 1986
• The elastic energy-momentum tensorJ. D. Eshelby — 1975
• Displacive phase transformations in solidsRichard D. James — 1986
• Fine phase mixtures as minimizers of energyJ. M. Ball, Richard D. James — 1987
• Non-elliptic elastic materials and the modeling of dissipative mechanical behavior: an exampleRohan Abeyaratne, James K. Knowles — 1987
• On the dissipative response due to discontinuous strains in bars of unstable elastic materialRohan Abeyaratne, James K. Knowles — 1988
• An admissibility condition for equilibrium shocks in finite elasticityRohan Abeyaratne — 1983
• Ellipticity and deformations with discontinuous gradients in finite elastostaticsPhoebus Rosakis — 1990
• Equilibrium of barsJ. L. Ericksen — 1975
• On the failure of ellipticity and the emergence of discontinuous deformation gradients in plane finite elastostaticsJonathan C. Knowles, Eli Sternberg — 1978
• Inelastic constitutive relations for solids: An internal-variable theory and its application to metal plasticityJ. R. Rice — 1971

Cited by

• Phase Boundary Propagation in Heterogeneous MediaBogdan Craciun — 2002
• Phase-Transition Fronts in Deformable FerromagnetsGérard A. Maugin, A. Fomethe — 1997
• Calculation of Autocatalytic Phase Transformation Zones in Cracked and Uncracked Zirconia CeramicsG. Rauchs, T. Fett, D. Münz — 2002
• Fracture of Materials Undergoing Solid-Solid Phase TransformationBharat Penmecha — 2013
• On the Propagation of Maximally Dissipative Phase Boundaries in SolidsRohan Abeyaratne, James K. Knowles — 1992
• Continuum mechanical aspects of phase transformations in solidsF.D. Fischer, M. Berveiller, K. Tanaka — 1994
• A unified treatment of evolving interfaces accounting for small deformations and atomic transport: grain-boundaries, phase transitions, epitaxyEliot Fried, Morton E. Gurtin — 2003
• Ni-Ti-Nb形状記憶合金の変形および変形回復特性に関する基礎的研究Masaki Kusagawa, Toshiya Nakamura, Yasuhide Asada — 1999
• Investigations of Non-Elliptic Elastic Materials and the Modeling of Phase Transformations in Solids.James K. Knowles — 1994
• Dynamic stability of martensite twins under regular kineticsR. Plaza — 2007
• Numerical Simulation of Waves and Fronts in Inhomogeneous SolidsArkadi Berezovski, Jüri Engelbrecht, Gérard A. Maugin — 2008
• Evolving phase boundaries in deformable continuaMorton E. Gurtin — 1991
• Non-monotonic transformation kinetics and the morphological stability of phase boundaries in thermoelastic materialsEliot Fried — 1991
• A dynamic phase-field model for structural transformations and twinning: Regularized interfaces with transparent prescription of complex kinetics and nucleation. Part I: Formulation and one-dimensional characterizationVaibhav Agrawal, Kaushik Dayal — 2015
• Sharp and diffuse interface methods for phase transition problems in liquid-vapour flowsCéline Baranger, Gérard Baudin, Laurent Boudin — 2005
• A review of constitutive models and modeling techniques for shape memory alloysCheikh Cissé, Wael Zaki, Tarak Ben Zineb — 2016
• Micromechanical modeling and simulations of transformation-induced plasticity in multiphase carbon steelsD. D. Tjahjanto — 2008
• A continuum theory with long-range forces for solidsMarkus Zimmermann — 2005
• The dynamics of solid-solid phase transitions.Paolo Cermelli, Morton E. Gurtin — 1992
• Constitutive modeling of Cu-Al-Ni shape memory alloysSrikanth Vedantam — 2000

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