The decomposition F = FeFp, material symmetry, and plastic irrotationality for solids that are isotropic-viscoplastic or amorphous

By M. Gurtin, L. Anand. 2005

157 citations recorded by the source corpus.

Subfields: Biomedical Engineering, Fluid Flow and Transfer Processes, Materials Chemistry

View Paper: https://www.semanticscholar.org/paper/7a65ea7de24393a4b5b7c426d5e35bb473935bdd

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Biomedical Engineering

In Fluid Flow and Transfer Processes

In Materials Chemistry

Citations in the corpus

A thermo-mechanically-coupled large-deformation theory for amorphous polymers in a temperature range which spans their glass transition (2010, background): “…(α) i (X, 0) = ξ (α) i, 0 (= constant), (3.20) 9For a detailed discussion and justification of the Wp = 0 assumption in a single micro-mechanism isotropic theory see Boyce et al. (1989) and Gurtin and Anand (2005); we adopt it here as well. so that by F = Fe (α)Fp (α) we also have Fe (α)(X, 0) = 1.”
A finite strain kinematic hardening constitutive model based on Hencky strain: General framework, solution algorithm and application to shape memory alloys (2011, background): “In this way, the Helmholtz free energy should be more properly referred to perature-parameterized function. refer to Henann and Anand (2009) and Gurtin and Anand (2005) for more details on objectivity as well as isotropy requirements. where g is the entropy and s = Jr is the Kirchhoff stress tensor.”
Thermally actuated shape-memory polymers: Experiments, theory, and numerical simulations (2010, background): “6For a detailed discussion and justification of the Wp = 0 assumption in a single micro-mechanism isotropic theory, see Gurtin and Anand (2005).”
A chemo-thermo-mechanically coupled theory for elastic–viscoplastic deformation, diffusion, and volumetric swelling due to a chemical reaction (2011, background): “(2.1) Following modern developments of large-deformation plasticity theory (cf., e.g., Anand and Gurtin, 2003; Gurtin and Anand, 2005), we base our theory on the Kröner (1960) – Lee (1969) multiplicative decomposition of the deformation gradient, F = FeFi.”