A thermomechanical framework for constitutive models for rate-independent dissipative materials

By G. Houlsby, A. Puzrin. 2000

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A damage model with evolving nonlocal interactions (2011, methodology): “where v 1⁄4 @f=@~ a is termed generalized stress (Houlsby and Puzrin, 2000) associated with the nonlocal internal variable ~ a.”
On thermomechanical restrictions of continua (2004, background): “…it is currently used to choose from a set of competing constitutive assumptions for entropy-producing processes, namely that which maximizes the rate of entropy production (see, for example, Rajagopal & Srinivasa 1998b, 2000, 2001; Houlsby & Puzrin 2000; Srinivasa 2001; Rao & Rajagopal 2001).”
Coupled damage and plasticity models derived from energy and dissipation potentials (2007, methodology): “The ‘‘hyperplasticity’’ framework (Houlsby and Puzrin, 2000) allows the development of plasticity theories, within the framework of Generalized Thermodynamics, or Thermodynamics of Internal Variables (TIV), and has much in common with the work of Lubliner (1972), Halphen and Nguyen (1975), Ziegler…”
A multiscale model of plasticity (2002, background): “…in the plasticity theory is the development of proper constitutive laws for " : p and Wp (Voyadjis and Mohammad, 1991; McDowell, 1992; Khan and Chang, 1996; Le and Stumpf, 1996; Shizawa and Zbib, 1999; Houslby and Puzrin, 2000; Khan and Liang, 2000; Kalidindi, 2001; Scheidler and Wright, 2001).”