[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 …

[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 …

Mechanical analysis of heterogeneous materials with higher-order parameters

B Vazic, BE Abali, H Yang, P Newell - Engineering with Computers, 2022 - Springer
Even though heterogeneous porous materials are widely used in a variety of engineering
and scientific fields, such as aerospace, energy-storage technology, and bio-engineering …

Investigating infill density and pattern effects in additive manufacturing by characterizing metamaterials along the strain-gradient theory

G Aydin, BC Sarar, ME Yildizdag… - … and Mechanics of …, 2022 - journals.sagepub.com
Infill density used in additive manufacturing incorporates a structural response change in the
structure. Infill pattern creates a microstructure that affects the mechanical performance as …

Second-order homogenization of 3-D lattice materials towards strain gradient media: numerical modelling and experimental verification

D Molavitabrizi, S Khakalo, R Bengtsson… - Continuum Mechanics …, 2023 - Springer
The literature in the field of higher-order homogenization is mainly focused on 2-D models
aimed at composite materials, while it lacks a comprehensive model targeting 3-D lattice …

Influence of microstructure on size effect for metamaterials applied in composite structures

BE Abali, B Vazic, P Newell - Mechanics Research Communications, 2022 - Elsevier
Microstructure related deviation from elastic response is known as “size-effect.”
Metamaterials–for example modeled by strain gradient elasticity–capture this effect …

Generalized thermo-mechanical framework for heterogeneous materials through asymptotic homogenization

B Vazic, BE Abali, P Newell - Continuum Mechanics and Thermodynamics, 2023 - Springer
A fundamental understanding of the interaction between microstructure and underlying
physical mechanisms is essential, especially for developing more accurate multi-physics …

A benchmark strain gradient elasticity solution in two-dimensions for verifying computational approaches by means of the finite element method

N Shekarchizadeh, BE Abali… - … and Mechanics of …, 2022 - journals.sagepub.com
In elasticity, microstructure-related deviations may be modeled by strain gradient elasticity.
For so-called metamaterials, different implementations are possible for solving strain …

Verification of strain gradient elasticity computation by analytical solutions

H Yang, D Timofeev, BE Abali, B Li… - ZAMM‐Journal of …, 2021 - Wiley Online Library
As there are different computational methods for simulating problems in generalized
mechanics, we present simple applications and their closed‐form solutions for verifying a …

Strain-gradient modeling and computation of 3-d printed metamaterials for verifying constitutive parameters determined by asymptotic homogenization

G Aydin, ME Yildizdag, BE Abali - … of Multiscale Materials: A Tribute to …, 2022 - Springer
Metamaterials exhibit significantly different mechanical deformation than in classical “first-
order” theory. One possible modeling approach is to use a “straingradient” theory by …