Nonlinear regularization operators as derived from the micromorphic approach to gradient elasticity, viscoplasticity and damage

S Forest - Proceedings of the Royal Society A …, 2016 - royalsocietypublishing.org
The construction of regularization operators presented in this work is based on the
introduction of strain or damage micromorphic degrees of freedom in addition to the …

Visualising elastic anisotropy: theoretical background and computational implementation

J Nordmann, M Aßmus, H Altenbach - Continuum Mechanics and …, 2018 - Springer
In this article, we present the technical realisation for visualisations of characteristic
parameters of the fourth-order elasticity tensor, which is classified by three-dimensional …

[HTML][HTML] On a 3D material modelling of smart nanocomposite structures

M Malikan, S Dastjerdi, VA Eremeyev… - International Journal of …, 2023 - Elsevier
Smart composites (SCs) are utilized in electro-mechanical systems such as actuators and
energy harvesters. Typically, thin-walled components such as beams, plates, and shells are …

[HTML][HTML] Verification of asymptotic homogenization method developed for periodic architected materials in strain gradient continuum

H Yang, BE Abali, WH Müller, S Barboura… - International Journal of …, 2022 - Elsevier
Strain gradient theory is an accurate model for capturing the size effect and localization
phenomena. However, the challenge in identification of corresponding constitutive …

Homogenization of periodic hexa-and tetrachiral cellular solids

A Bacigalupo, L Gambarotta - Composite Structures, 2014 - Elsevier
The homogenization of periodic hexachiral and tetrachiral honeycombs is dealt with two
different techniques. The first is based on a micropolar homogenization. The second …

Second strain gradient elasticity of nano-objects

NM Cordero, S Forest, EP Busso - Journal of the Mechanics and Physics of …, 2016 - Elsevier
Mindlin's second strain gradient continuum theory for isotropic linear elastic materials is
used to model two different kinds of size-dependent surface effects observed in the …

[图书][B] Compendium on gradient materials

A Bertram - 2023 - Springer
Although already suggested in the middle of the 19th century, have material models that
include higher gradients of the kinematical variables become a blossoming field of research …

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 …

[HTML][HTML] A complete description of bi-dimensional anisotropic strain-gradient elasticity

N Auffray, J Dirrenberger, G Rosi - International Journal of Solids and …, 2015 - Elsevier
In the present paper spaces of fifth-order tensors involved in bidimensional strain gradient
elasticity are studied. As a result complete sets of matrices representing these tensors in …

Computational second-order homogenization of materials with effective anisotropic strain-gradient behavior

J Yvonnet, N Auffray, V Monchiet - International Journal of Solids and …, 2020 - Elsevier
A computational homogenization method to determine the effective parameters of Mindlin's
Strain Gradient Elasticity (SGE) model from a local heterogeneous Cauchy linear material is …