Rational designs of mechanical metamaterials: Formulations, architectures, tessellations and prospects

J Gao, X Cao, M Xiao, Z Yang, X Zhou, Y Li… - Materials Science and …, 2023 - Elsevier
Abstract Mechanical Metamaterials (MMs) are artificially designed structures with
extraordinary properties that are dependent on micro architectures and spatial tessellations …

Buckling and postbuckling response of nonlocal strain gradient porous functionally graded micro/nano-plates via NURBS-based isogeometric analysis

F Fan, B Safaei, S Sahmani - Thin-Walled Structures, 2021 - Elsevier
The prime objective of the present investigation is to analyze the nonlinear buckling and
postbuckling characteristics of micro/nano-plates made of a porous functionally graded …

Size-effects of metamaterial beams subjected to pure bending: on boundary conditions and parameter identification in the relaxed micromorphic model

M Sarhil, L Scheunemann, J Schröder, P Neff - Computational Mechanics, 2023 - Springer
In this paper we model the size-effects of metamaterial beams under bending with the aid of
the relaxed micromorphic continuum. We analyze first the size-dependent bending stiffness …

Three-point bending test of pantographic blocks: numerical and experimental investigation

ME Yildizdag, E Barchiesi… - … and Mechanics of …, 2020 - journals.sagepub.com
The equilibrium forms of pantographic blocks in a three-point bending test are investigated
via both experiments and numerical simulations. In the computational part, the …

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

H Yang, Z Liu, Y Xia, 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 …

Granular micromechanics‐based identification of isotropic strain gradient parameters for elastic geometrically nonlinear deformations

E Barchiesi, A Misra, L Placidi… - ZAMM‐Journal of Applied …, 2021 - Wiley Online Library
Although the primacy and utility of higher‐gradient theories are being increasingly accepted,
values of second gradient elastic parameters are not widely available due to lack of …

[HTML][HTML] 基于简化的应变梯度理论下Kirchhoff 板模型边值问题的提法及其应用

徐晓建, 邓子辰 - 应用数学和力学, 2022 - pubs.cstam.org.cn
考虑应变梯度和速度梯度的影响, 建立薄板控制微分方程及给出其边值问题的提法,
修正了前人给出的薄板角点条件. 采用Levy 法, 给出受分布力作用下简支板的挠度及自由振动 …

Nonlinear dynamic responses of beamlike truss based on the equivalent nonlinear beam model

M Liu, D Cao, X Zhang, J Wei, D Zhu - International Journal of Mechanical …, 2021 - Elsevier
The main goal of this paper is to develop an equivalent nonlinear beam model (ENBM) for
forced vibration analysis of the nonlinear beamlike truss (NBT) and its numerical …

Higher order finite element models for transient analysis of strain gradient functionally graded microplates

A Karamanli, TP Vo, O Civalek - European Journal of Mechanics-A/Solids, 2023 - Elsevier
In the study, three different higher order finite element models (HOFEMs) are developed to
perform the transient analysis of functionally graded (FG) microplates subjected to different …

[HTML][HTML] Numerical homogenization of second gradient, linear elastic constitutive models for cubic 3D beam-lattice metamaterials

O Weeger - International Journal of Solids and Structures, 2021 - Elsevier
Generalized continuum mechanical theories such as second gradient elasticity can consider
size and localization effects, which motivates their use for multiscale modeling of periodic …