Nonlinear microstrain theories

By S. Forest, R. Sievert. 2006

274 citations recorded by the source corpus.

Subfields: Materials Chemistry, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/c1aaea3a88d86703f99cd20e4c578c36f012bc09

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In Materials Chemistry

In Mechanics of Materials

Citations in the corpus

Continuum modelling of pantographic sheets for out-of-plane bifurcation and vibrational analysis (2017, background): “It is worth mentioning also particular adaptation of standard FEM for second gradient materials (see e.g. [51,52]).”
On generalized Cosserat-type theories of plates and shells: a short review and bibliography (2010, unknown): “[104–108,282,287], Grammenoudis”
Dynamic problems for metamaterials: Review of existing models and ideas for further research (2014, unknown): “Particularly promising in the design of metamaterials are those with microstructures 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;”
Continuum Models of Ductile Fracture: A Review (2010, methodology): “Instead of relying on state variables to introduce nonlocality, it is possible to use enhanced theories (Forest and Sievert, 2006) which account for spacial derivatives of the displacement fields up to 2 as in second-gradient theories (Mindlin and Eshel, 1968).”
Generalized continua and non‐homogeneous boundary conditions in homogenisation methods (2011, background): “A whole hierarchy of higher order and higher grade continua is now available to model size effects in the mechanical behaviour of materials and structures [20, 24, 31].”
A unifying perspective: the relaxed linear micromorphic continuum (2013, unknown): “from the microstrain model [56] (see Sect.”
Wave propagation in relaxed micromorphic continua: modeling metamaterials with frequency band-gaps (2013, background): “in [20, 21, 23, 24] for the case of non-linear elasticity.”