Forms of the dissipation function for a class of viscoplastic models

[1]  R. Hall.  A Thermodynamic Framework for Viscoplasticity Based on Overstress (VBO) , 2005 .

[2]  E. Krempl,et al.  On the interaction of rate and history dependence in structural metals , 1975 .

[3]  E. Aifantis,et al.  Instability of gradient dependent elasto‐viscoplasticity for clay , 1999 .

[4]  Matti Ristinmaa,et al.  Viscoplasticity based on an additive split of the conjugated forces , 1998 .

[5]  A. Needleman.  Material rate dependence and mesh sensitivity in localization problems , 1988 .

[6]  L. Contrafatto,et al.  A globally convergent numerical algorithm for damaging elasto‐plasticity based on the Multiplier method , 2005 .

[7]  Ugo Andreaus,et al.  At the origins and in the vanguard of peridynamics, non-local and higher-gradient continuum mechanics: An underestimated and still topical contribution of Gabrio Piola , 2013, 1310.5599.

[8]  Luca Placidi,et al.  A unifying perspective: the relaxed linear micromorphic continuum , 2013, Continuum Mechanics and Thermodynamics.

[9]  R. Lewis,et al.  Associated and non-associated visco-plasticity and plasticity in soil mechanics , 1975 .

[10]  Alexander M. Puzrin,et al.  Rate-dependent plasticity models derived from potential functions , 2002 .

[11]  G. Romano,et al.  An internal variable theory of inelastic behaviour derived from the uniaxial rigid-perfectly plastic law , 1993 .

[12]  Wu Han-Chin,et al.  A Theory of viscoplasticity , 1973 .

[13]  Gérard A. Maugin,et al.  Infernal Variables and Dissipative Structures , 1990 .

[14]  Massimo Cuomo,et al.  A new thermodynamically consistent continuum model for hardening plasticity coupled with damage , 2002 .

[15]  M. Gurtin.  On a framework for small-deformation viscoplasticity: free energy, microforces, strain gradients , 2003 .

[16]  Matti Ristinmaa,et al.  A comparison of viscoplasticity formats and algorithms , 1999 .

[17]  Samuel Forest,et al.  Micromorphic Approach for Gradient Elasticity, Viscoplasticity, and Damage , 2009 .

[18]  Djordje Peric,et al.  On a class of constitutive equations in viscoplasticity : formulation and computational issues , 1993 .

[19]  Sanjay Govindjee,et al.  Non‐linear B‐stability and symmetry preserving return mapping algorithms for plasticity and viscoplasticity , 1991 .

[20]  Matti Ristinmaa,et al.  Consequences of Dynamic Yield Surface in Viscoplasticity , 2000 .

[21]  P. Perzyna.  Fundamental Problems in Viscoplasticity , 1966 .

[22]  J. Goddard,et al.  Edelen’s dissipation potentials and the visco-plasticity of particulate media , 2014 .

[23]  B. D. Reddy,et al.  An internal variable theory of elastoplasticity based on the maximum plastic work inequality , 1990 .

[24]  Anthony N. Palazotto,et al.  Thermodynamic framework for coupling of non-local viscoplasticity and non-local anisotropic viscodamage for dynamic localization problems using gradient theory , 2004 .

[25]  Gérard A. Maugin,et al.  The thermomechanics of nonlinear irreversible behaviors : an introduction , 1999 .

[26]  K. Kamrin,et al.  Symmetry relations in viscoplastic drag laws , 2014, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences.

[27]  P. M. Naghdi,et al.  A general theory of an elastic-plastic continuum , 1965 .

[28]  Dominic G.B. Edelen,et al.  On the existence of symmetry relations and dissipation potentials , 1973 .

[29]  J. C. Simo,et al.  Non‐smooth multisurface plasticity and viscoplasticity. Loading/unloading conditions and numerical algorithms , 1988 .

[30]  Luca Placidi,et al.  A variational approach for a nonlinear one-dimensional damage-elasto-plastic second-gradient continuum model , 2016 .