Additive manufacturing introduced substructure and computational determination of metamaterials parameters by means of the asymptotic homogenization

BE Abali, E Barchiesi - Continuum Mechanics and Thermodynamics, 2021 - Springer
Metamaterials exhibit materials response deviation from conventional elasticity. This
phenomenon is captured by the generalized elasticity as a result of extending the theory at …

[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 …

Determination of metamaterial parameters by means of a homogenization approach based on asymptotic analysis

H Yang, BE Abali, D Timofeev, WH Müller - Continuum mechanics and …, 2020 - Springer
By using modern additive manufacturing techniques, a structure at the millimeter length
scale (macroscale) can be produced showing a lattice substructure of micrometer …

[HTML][HTML] Mechanical properties of hierarchical lattice via strain gradient homogenization approach

H Yang, Z Liu, Y **a, W Fan, AC Taylor… - Composites Part B …, 2024 - Elsevier
With the advancement of 3D printing technology, manufacturing metamaterials with extreme
mechanical properties is becoming more feasible. Hierarchical lattices appear to be ideal …

A novel phase‐field approach to brittle damage mechanics of gradient metamaterials combining action formalism and history variable

BE Abali, A Klunker, E Barchiesi… - ZAMM‐Journal of …, 2021 - Wiley Online Library
Metamaterials response is generally modeled by generalized continuum based theories.
Their inherent substructure leads to a necessity for higher‐order theories, and especially in …

Frontiers in homogenization methods towards generalized continua for architected materials

JF Ganghoffer, A Wazne, H Reda - Mechanics Research Communications, 2023 - Elsevier
Architected materials have witnessed tremendous research activity in the last two decades,
due to their ability to achieve unprecedented effective properties. The up-scaling of the …

Construction of micromorphic continua by homogenization based on variational principles

SE Alavi, JF Ganghoffer, H Reda, M Sadighi - Journal of the Mechanics and …, 2021 - Elsevier
The present contribution aims to revisit higher-order homogenization schemes towards
micromorphic media based on variational principles and an extension of Hill …

Homogenization of a Cauchy continuum towards a micromorphic continuum

G Hütter - Journal of the Mechanics and Physics of Solids, 2017 - Elsevier
The micromorphic theory of Eringen and Mindlin, including special cases like strain gradient
theory or Cosserat theory, is widely used to model size effects and localization phenomena …

Mechanical properties and binary-medium constitutive model for semi-through jointed mudstone samples

D Yu, E Liu, P Sun, B **ang, Q Zheng - International Journal of Rock …, 2020 - Elsevier
Triaxial compression tests are conducted on semi-through jointed mudstone samples at
conditions of different confining pressures and inclination angles. With the help of …

A strain gradient brittle fracture model based on two-scale asymptotic analysis

Y Rao, M **ang, J Cui - Journal of the Mechanics and Physics of Solids, 2022 - Elsevier
Based on a two-scale asymptotic analysis procedure, we rigorously derive a new
macroscopic brittle fracture model for materials with micro-cracks inside. Strain gradient …