Thermodynamics of rate-independent plasticity

[1]  L. Prandtl,et al.  Ein Gedankenmodell zur kinetischen Theorie der festen Körper , 1928 .

[2]  Shore,et al.  Hysteresis and hierarchies: Dynamics of disorder-driven first-order phase transformations. , 1992, Physical review letters.

[3]  A. L. Titchener,et al.  The Stored Energy of Cold Work , 1973 .

[4]  J. Rice.  On the Structure of Stress-Strain Relations for Time-Dependent Plastic Deformation in Metals , 1970 .

[5]  J. Rice,et al.  PARADOXES IN THE APPLICATION OF THERMODYNAMICS TO STRAINED SOLIDS. , 1969 .

[6]  K. Bhattacharya.  Phase boundary propagation in a heterogeneous body , 1999, Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences.

[7]  John R. Rice,et al.  Thermodynamics of the quasi-static growth of Griffith cracks , 1978 .

[8]  L. Truskinovsky,et al.  The origin of nucleation peak in transformational plasticity , 2004 .

[9]  Richard D. James,et al.  Kinetics of materials with wiggly energies: Theory and application to the evolution of twinning microstructures in a Cu-Al-Ni shape memory alloy , 1996 .

[10]  Lev Truskinovsky,et al.  Explicit Kinetic Relation from “First Principles” , 2005 .

[11]  Lars Onsager,et al.  Fluctuations and Irreversible Processes , 1953 .

[12]  F. Cardin,et al.  Dynamics of a Chain of Springs with Nonconvex Potential Energy , 2003 .

[13]  J. Ericksen,et al.  Equilibrium of bars , 1975 .

[14]  Collective transport in random media: from superconductors to earthquakes , 1997, cond-mat/9711179.

[15]  Michael Ortiz,et al.  Plastic yielding as a phase transition , 1999 .

[16]  F. Nabarro,et al.  Dislocations in solids , 1979 .

[17]  P. Rosakis,et al.  Hysteresis and Stick-Slip Motion of Phase Boundaries in Dynamic Models of Phase Transitions , 1999 .

[18]  Lev Truskinovsky,et al.  Mechanics of a discrete chain with bi-stable elements , 2000 .

[19]  V. Berdichevsky.  Structure of equations of macrophysics. , 2003, Physical review. E, Statistical, nonlinear, and soft matter physics.

[20]  C. S. Hartley,et al.  Constitutive Equations in Plasticity , 1977 .

[21]  L. Kubin,et al.  Multifractal burst in the spatiotemporal dynamics of jerky flow. , 2001, Physical review letters.

[22]  A. Mielke,et al.  A Variational Formulation of¶Rate-Independent Phase Transformations¶Using an Extremum Principle , 2002 .

[23]  D. Owen,et al.  Energetics of Two-Level Shears and Hardening of Single Crystals , 2002 .

[24]  O. Kresse,et al.  Lattice friction for crystalline defects: from dislocations to cracks , 2004 .

[25]  Andrej Cherkaev,et al.  Dynamics of chains with non-monotone stress-strain relations , 2001 .

[26]  Continuum models for irregular phase boundary motion in shape-memory tensile bars , 1999 .

[27]  Govind Menon,et al.  Gradient Systems with Wiggly Energies¶and Related Averaging Problems , 2002 .

[28]  M. Zaiser,et al.  Chapter 56 Long-range internal stresses, dislocation patterning and work-hardening in crystal plasticity , 2002 .

[29]  Sliding charge-density waves as a dynamic critical phenomenon. , 1985 .

[30]  V. I. Arnol'd,et al.  Dynamical Systems V , 1994 .

[31]  Luis L. Bonilla,et al.  Depinning Transitions in Discrete Reaction-Diffusion Equations , 2003, SIAM J. Appl. Math..

[32]  F. Heslot,et al.  Creep, stick-slip, and dry-friction dynamics: Experiments and a heuristic model. , 1994, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[33]  Ingo Müller,et al.  A model for an elastic-plastic body , 1977 .

[34]  A. Cottrell.  Commentary. A brief view of work hardening , 2002 .

[35]  Giovanni Zanzotto,et al.  Hysteresis in discrete systems of possibly interacting elements with a double-well energy , 1992 .

[36]  L. Truskinovsky,et al.  A mechanism of transformational plasticity , 2002 .

[37]  A. Rosakis,et al.  A thermodynamic internal variable model for the partition of plastic work into heat and stored energy in metals , 2000 .

[38]  Lev Truskinovsky,et al.  Rate independent hysteresis in a bi-stable chain , 2002 .

[39]  P. W. Bridgman.  The Thermodynamics of Plastic Deformation and Generalized Entropy , 1950 .

[40]  Mayergoyz,et al.  Mathematical models of hysteresis. , 1986, Physical review letters.

[41]  S. Zapperi,et al.  Depinning transition of dislocation assemblies: Pileups and low-angle grain boundaries , 2003, cond-mat/0312408.

[42]  H. W. Swift.  Plastic instability under plane stress , 1952 .

[43]  Dynamical evolution of elasto-perfectly plastic bodies , 1987 .

[44]  I. Suliciu,et al.  A Maxwellian model for pseudoelastic materials , 1994 .

[45]  Evolution problems for a class of dissipative materials , 1981 .

[46]  Bertotti.  Energetic and thermodynamic aspects of hysteresis. , 1996, Physical review letters.

[47]  David Yang Gao,et al.  Advances in mechanics and mathematics , 2002 .

[48]  G. Piero,et al.  Structured Deformations as Energy Minimizers in Models of Fracture and Hysteresis , 1999 .