On a framework for small-deformation viscoplasticity: free energy, microforces, strain gradients

By M. Gurtin. 2003

223 citations recorded by the source corpus.

Subfields: Atomic and Molecular Physics, and Optics, Biomedical Engineering, Materials Chemistry

View Paper: https://www.semanticscholar.org/paper/9f07ecef059ef651599f4550ff375024b91e2bfe

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In Atomic and Molecular Physics, and Optics

In Biomedical Engineering

In Materials Chemistry

Citations in the corpus

Guidelines for Constructing Strain Gradient Plasticity Theories (2015, background): “Key words: Strain gradient plasticity, proportional loading, non-proportional loading, elastic loading gaps”
A theory of amorphous solids undergoing large deformations, with application to polymeric glasses (2003, background): “9 8 Thus the dissipative plastic stress Yp is parallel to––and points in the same direction as––the deviatoric plastic stretching tensor Dp; this corresponds to an assumption of ‘‘maximal dissipation’’ or an assumption of microstability (cf. Gurtin, 2003, Sections 5.2 and 5.3).”
Some links between recent gradient thermo-elasto-plasticity theories and the thermomechanics of generalized continua (2010, methodology): “…theory has been provided by several authors (Forest et al., 2002; Gurtin and Anand, 2009; Fleck and Willis, 2009b) for models including the gradient of a scalar plastic measure, and (Forest and Sievert, 2003; Gurtin, 2003; Fleck and Willis, 2009a) for the gradient of the full plastic strain tensor.”
Analytical and experimental determination of the material intrinsic length scale of strain gradient plasticity theory from micro- and nano-indentation experiments (2004, unknown): “In addition, extension of the gradient theory to rate-dependent plasticity/damage has been made recently by few authors (Wang et al., 1998; Aifantis et al., 1999; Oka et al., 2000; Voyiadjis et al., 2003a,b; Gurtin, 2003; Saczuk et al., 2003).”
Thermodynamic framework for coupling of non-local viscoplasticity and non-local anisotropic viscodamage for dynamic localization problems using gradient theory (2004, background): “In the same framework of Gurtin (2003) theory, Saczuk et al. (2003) proposed a theoretical concept for the analysis of large-deformation viscoinelasticity evolution in heterogeneous media depending on macro- and micro-deformation gradients in plasticity and damage.”
A study of microstructural length scale effects on the behaviour of FCC polycrystals using strain gradient concepts (2004, background): “Phenomenological theories incorporating higher-order strain gradients, couple stresses as well as requiring higher-order boundary conditions, were put forward by Fleck et al. (1994), Gurtin (2003) and Gudmundson (2004), to predict the strain gradient dependence of strength.”