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 …
introduction of strain or damage micromorphic degrees of freedom in addition to the …
Visualising elastic anisotropy: theoretical background and computational implementation
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 …
parameters of the fourth-order elasticity tensor, which is classified by three-dimensional …
[HTML][HTML] On a 3D material modelling of smart nanocomposite structures
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 …
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
Strain gradient theory is an accurate model for capturing the size effect and localization
phenomena. However, the challenge in identification of corresponding constitutive …
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 …
different techniques. The first is based on a micropolar homogenization. The second …
Second strain gradient elasticity of nano-objects
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 …
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 …
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 …
consistently simplified constitutive equations. Following Eremeyev and Pietraszkiewicz (Int J …
[HTML][HTML] A complete description of bi-dimensional anisotropic strain-gradient elasticity
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 …
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
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 …
Strain Gradient Elasticity (SGE) model from a local heterogeneous Cauchy linear material is …