Micromorphic Approach for Gradient Elasticity, Viscoplasticity, and Damage

By S. Forest. 2009

663 citations recorded by the source corpus.

Subfields: Biomedical Engineering, Materials Chemistry, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/b663bd13690086615af51aa1085343cb1394d6f9

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In Biomedical Engineering

In Materials Chemistry

In Mechanics of Materials

Citations in the corpus

Microstructural material database for self-consistent clustering analysis of elastoplastic strain softening materials (2018, methodology): “Several methods have been proposed to resolve this mesh-dependence problem due to the strain-softening effect, such as non-local damage model [6], micromorphic continuum [2, 7, 1, 8, 9], phase-field fracture [10, 11], crack band theory [12] and eigen-erosion method [13].”
Revisiting the problem of a crack impinging on an interface: A modeling framework for the interaction between the phase field approach for brittle fracture and the interface cohesive zone model (2017, methodology): “Most of the extensively used techniques to trigger quasi-brittle and ductile fracture events fall into the following general categories: (i) Continuum Damage Mechanics (CDM) models accounting for a smeared crack representation [19], which in their local version suffer from mesh dependency that has b”
Localizing gradient damage model with decreasing interactions (2017, methodology): “Note that the same damage model as [26] was developed in [31] by requiring that the second law of thermodynamics be satisfied only in a global sense.”
Second strain gradient elasticity of nano-objects (2016, methodology): “They are performed by means of finite element simulations making use of the constrained generalised micromorphic approach proposed by Germain (1973b), Forest (2009), and Forest et al. (2011).”
Mechanical metamaterials: a state of the art (2019, methodology): “From a theoretical point of view, one can refer to the work of Bourdin et al. [135], Francfort and Marigo [136], Marigo [137], Marigo and Truskinovsky [138], Forest [139], Placidi [140, 141] and Yang and Misra [142], where theories of damage and fracture are approached by using variational methods.”
A gradient-enhanced damage model coupled to plasticity—multi-surface formulation and algorithmic concepts (2018, methodology): “It should also be mentioned that the notion of the micromorphic approach has been suggested in the literature as a sytematic method to construct thermodynamically-consistent theories of higherorder (higher grade) media, see Forest (2009, 2016).”
Analytical continuum mechanics à la Hamilton–Piola least action principle for second gradient continua and capillary fluids (2013, background): “Finally, we remark that second gradient theories are strictly related to continuum theories with microstructure (see e.g. Green and Rivlin [38–41], Mindlin [42–44], Kroner [45] and Toupin [46, 47]) as clarified in the note by Bleustein [48] and in the papers by Forest [49, 50].”
Dynamic problems for metamaterials: Review of existing models and ideas for further research (2014, background): “…those with micro-structures which present high-contrast in microscopic properties: these highly heterogeneous microstructures, once homogenised, produce generalised continuum models (Alibert, Seppecher, dell’Isola, 2003; Forest, Sievert, 2006; Forest, 2009; Misra, Ching, 2013; Misra, Singh, 2013).”