2007
DOI: 10.1016/j.cma.2007.02.015
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On deformational and configurational mechanics of micromorphic hyperelasticity – Theory and computation

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Cited by 53 publications
(26 citation statements)
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“…The formulation of micropolar plasticity is progressed as can be recognized, e.g., from the works Forest and Cailletaud (2000); de Borst (1991Borst ( , 1993; Steinmann (1994); Ristinmaa and Vecchi (1996); Tsakmakis (2001, 2005a), and the references cited there. On the other hand, some interesting ideas concerning finite deformation micromorphic plasticity have been elaborated in Forest andSievert (2003, 2006); Sansour (1998); Hirschberger and Steinmann (2007). In particular the comprehensive work of Forest and Sievert (2003), provides a unified thermomechanical framework for the development of micromorphic plasticity.…”
Section: Introductionmentioning
confidence: 99%
“…The formulation of micropolar plasticity is progressed as can be recognized, e.g., from the works Forest and Cailletaud (2000); de Borst (1991Borst ( , 1993; Steinmann (1994); Ristinmaa and Vecchi (1996); Tsakmakis (2001, 2005a), and the references cited there. On the other hand, some interesting ideas concerning finite deformation micromorphic plasticity have been elaborated in Forest andSievert (2003, 2006); Sansour (1998); Hirschberger and Steinmann (2007). In particular the comprehensive work of Forest and Sievert (2003), provides a unified thermomechanical framework for the development of micromorphic plasticity.…”
Section: Introductionmentioning
confidence: 99%
“…When solving the strain-gradient problems, the C 1 finite elements have been successfully developed, see [20,21]. Alternative approaches consider a mixed formulation [22,23], or the micromorphic formulation [19] from which the strain gradient formulation can be recovered. The strategy of introducing another unknown field beside the unknown displacement field in the C 1 element, the mixed formulation and in the micromorphic formulation raises the number of degrees of freedom.…”
Section: Introductionmentioning
confidence: 99%
“…Cosserat, couple-stress, strain-gradient, non-local, micromorphic formulations), see [13,14,15,16,17,18,19] amongst others. In the generalized continuum theory, the length scale is introduced into the material constitutive law and the method is able to capture the size effects.…”
Section: Introductionmentioning
confidence: 99%
“…Moreover, a multiscale field theory has been constructed for the concurrent atomic-continuum modeling of materials [Chen and Lee 2005;. Micromorphic theory is thus considered the most successful top-down formulation of a two-level continuum model, in which the deformation is composed of the macroscopic continuous deformation and the internal microscopic deformation of the inner structure [Hirschberger et al 2007;Forest 2009;Grammenoudis and Tsakmakis 2009;Wang and Lee 2010;Gonella et al 2011]. Alternatively, one can introduce internal variables to describe microstructural effects.…”
Section: Introductionmentioning
confidence: 99%