Elastoviscoplastic constitutive frameworks for generalized continua

By S. Forest, R. Sievert. 2003

257 citations recorded by the source corpus.

Subfields: Biomedical Engineering, Materials Chemistry, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/3d67d995df64e54a48509e5aef9fdd028d9550b1

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In Biomedical Engineering

In Materials Chemistry

In Mechanics of Materials

Citations in the corpus

A finite-strain elastic–plastic Cosserat theory for polycrystals with grain rotations (2006, background): “It is clear that there exists various ways of obtaining such an extension, for an overview of the competing models we refer to the instructive survey article [41].”
An implicit tensorial gradient plasticity model - formulation and comparison with a scalar gradient model (2011, methodology): “We adopt a special case of the generalized micromorphic framework by Forest and co-worker (Forest and Sievert, 2003; Forest, 2009) with the internal power”
A Geometrically Exact Micromorphic Model for Elastic Metallic Foams Accounting for Affine Microstructure. Modelling, Existence of Minimizers, Identification of Moduli and Computational Results (2007, methodology): “An extension to large strain plasticity may be found in [28, 30, 61].”
Geometrically nonlinear higher-gradient elasticity with energetic boundaries (2013, background): “…may produce at a macroscopic level general- ized continuum theories: Forest et al. (2000, 2001); Tenek and Aifantis (2001); Sunyk and Steinmann (2003); Forest and Sievert (2003); Maranganti and Sharma (2007); Nikolov et al. (2007); Pozrikidis (2008); Sun et al. (2008); Cihan Tekoglu and Patrick…”
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.”
Nonlinear microstrain theories (2006, methodology): “Complements on this notation system can be found in Forest and Sievert (2003) and Trostel (1993).”
Dislocations in second strain gradient elasticity (2006, background): “…strain is defined by gijkl ¼ olokEij. ð2:11Þ They fulfill the following compatibility conditions: mlkolgijk ¼ 0; ð2:12Þ mnl pqkonoqgijkl ¼ 0. ð2:13Þ If the plastic strain gradient is the gradient of the plastic strain, then such model is called gradient of strain model (Forest and Sievert, 2003).”
Generalized continua and non‐homogeneous boundary conditions in homogenisation methods (2011, methodology): “Such constitutive frameworks have been developed for elastoviscoplasticity in the references [13,23,29,30,45,49] and could be identified by means of the generalized homogenization method.”
On generalized Cosserat-type theories of plates and shells: a short review and bibliography (2010, unknown): “[104–108,282,287], Grammenoudis”
Micromorphic Approach for Gradient Elasticity, Viscoplasticity, and Damage (2009, background): “Such elastic-plastic decompositions of the additional strain measures have been proposed for the full micromorphic and full microstrain continua in Sansour 1998a,b and Forest and Sievert 2003, 2006 within the finite deformation framework.”
Synthesis of Fibrous Complex Structures: Designing Microstructure to Deliver Targeted Macroscale Response (2015, background): “Finally, it has to be noted that proving the convergence of the micromodel to the conjectured homogenized one, and even to select the most suitable kind of convergence to be considered, is in general a far from trivial operation [93,237].”