On generalized Cosserat-type theories of plates and shells: a short review and bibliography

J Altenbach, H Altenbach, VA Eremeyev - Archive of Applied Mechanics, 2010 - Springer
One of the research direction of Horst Lippmann during his whole scientific career was
devoted to the possibilities to explain complex material behavior by generalized continua …

Dynamic problems for metamaterials: review of existing models and ideas for further research

D Del Vescovo, I Giorgio - International Journal of Engineering Science, 2014 - Elsevier
Metamaterials are materials especially engineered to have a peculiar physical behaviour, to
be exploited for some well-specified technological application. In this context we focus on …

At the origins and in the vanguard of peridynamics, non-local and higher-gradient continuum mechanics: an underestimated and still topical contribution of Gabrio …

F Dell'Isola, U Andreaus… - … and Mechanics of Solids, 2015 - journals.sagepub.com
Gabrio Piola's scientific papers have been underestimated in mathematical physics
literature. Indeed, a careful reading of them proves that they are original, deep and far …

A unifying perspective: the relaxed linear micromorphic continuum

P Neff, ID Ghiba, A Madeo, L Placidi, G Rosi - Continuum Mechanics and …, 2014 - Springer
We formulate a relaxed linear elastic micromorphic continuum model with symmetric Cauchy
force stresses and curvature contribution depending only on the micro-dislocation tensor …

Wave propagation in relaxed micromorphic continua: modeling metamaterials with frequency band-gaps

A Madeo, P Neff, ID Ghiba, L Placidi, G Rosi - Continuum Mechanics and …, 2015 - Springer
In this paper, the relaxed micromorphic model proposed in Ghiba et al.(Math Mech Solids,
2013), Neff et al.(Contin Mech Thermodyn, 2013) has been used to study wave propagation …

Complexes from complexes

DN Arnold, K Hu - Foundations of Computational Mathematics, 2021 - Springer
This paper is concerned with the derivation and properties of differential complexes arising
from a variety of problems in differential equations, with applications in continuum …

Material symmetry group and constitutive equations of micropolar anisotropic elastic solids

VA Eremeyev… - … and Mechanics of Solids, 2016 - journals.sagepub.com
We discuss the material symmetry group of the micropolar continuum and related
consistently simplified constitutive equations. Following Eremeyev and Pietraszkiewicz (Int J …

Korn inequalities for incompatible tensor fields in three space dimensions with conformally invariant dislocation energy

P Lewintan, S Müller, P Neff - Calculus of Variations and Partial Differential …, 2021 - Springer
Abstract Let Ω⊂ R 3 be an open and bounded set with Lipschitz boundary and outward unit
normal ν. For 1< p<∞ we establish an improved version of the generalized L p-Korn …

Isogeometric analysis of fiber reinforced composites using Kirchhoff–Love shell elements

J Schulte, M Dittmann, SR Eugster, S Hesch… - Computer Methods in …, 2020 - Elsevier
A second gradient theory for woven fabrics is applied to Kirchhoff–Love shell elements to
analyze the mechanics of fiber reinforced composite materials. In particular, we assume a …

On the strain gradient elasticity theory for isotropic materials

G Fu, S Zhou, L Qi - International Journal of Engineering Science, 2020 - Elsevier
Classical elasticity mechanics fails to explain size-dependent phenomenon, the strain
gradient elasticity theories including the couple stress theory, the simplified strain gradient …