A variational approach for a nonlinear one-dimensional damage-elasto-plastic second-gradient continuum model

2014 ◽  
Vol 28 (1-2) ◽  
pp. 119-137 ◽  
Author(s):  
Luca Placidi
Keyword(s):  
Variational Approach ◽  
Continuum Model ◽  
One Dimensional ◽  
Second Gradient ◽  
Second Gradient Continuum

A second gradient continuum model accounting for some effects of micro-structure on reconstructed bone remodelling

2012 ◽  
Vol 340 (8) ◽  
pp. 575-589 ◽  
Author(s):  
Angela Madeo ◽  
D. George ◽  
T. Lekszycki ◽  
Mathieu Nierenberger ◽  
Yves Rémond
Keyword(s):  
Continuum Model ◽  
Bone Remodelling ◽  
Micro Structure ◽  
Second Gradient ◽  
Second Gradient Continuum

Are higher-gradient models also capable of predicting mechanical behavior in the case of wide-knit pantographic structures?

2020 ◽  
Vol 26 (1) ◽  
pp. 18-29 ◽  
Author(s):  
Mario Spagnuolo ◽  
M Erden Yildizdag ◽  
Ugo Andreaus ◽  
Antonio M Cazzani
Keyword(s):  
Continuum Model ◽  
Central Theme ◽  
Fiber Density ◽  
Pantographic Structures ◽  
Numerical Predictions ◽  
Second Gradient ◽  
Bias Extension ◽  
Second Gradient Continuum ◽  
Gradient Models ◽  
Good Agreement

The central theme of this study is to investigate a remarkable capability of a second-gradient continuum model developed for pantographic structures. The model is applied to a particular type of this metamaterial, namely the wide-knit pantograph. As this type of structure has low fiber density, the applicability of such a continuum model may be questionable. To address this uncertainty, numerical simulations are conducted to analyze the behavior of a wide-knit pantographic structure, and the predicted results are compared with those measured experimentally under bias extension testing. The results presented in this study show that the numerical predictions and experimental measurements are in good agreement; therefore, in some useful circumstances, this model is applicable for the analysis of wide-knit pantographic structures.

scholarly journals Towards Recognition of Scale Effects in a Solid Model of Lattices with Tensegrity-Inspired Microstructure

Solids ◽  
2021 ◽  
Vol 2 (1) ◽  
pp. 50-59
Author(s):  
Wojciech Gilewski ◽  
Anna Al Sabouni-Zawadzka
Keyword(s):  
Mechanical Properties ◽  
Continuum Model ◽  
Scale Effects ◽  
Theory Of Elasticity ◽  
Solid Model ◽  
Gradient Theory ◽  
General Description ◽  
Normal Forces ◽  
Second Gradient ◽  
Proposed Model

This paper is dedicated to the extended solid (continuum) model of tensegrity structures or lattices. Tensegrity is defined as a pin-joined truss structure with an infinitesimal mechanism stabilized by a set of self-equilibrated normal forces. The proposed model is inspired by the continuum model that matches the first gradient theory of elasticity. The extension leads to the second- or higher-order gradient formulation. General description is supplemented with examples in 2D and 3D spaces. A detailed form of material coefficients related to the first and second deformation gradients is presented. Substitute mechanical properties of the lattice are dependent on the cable-to-strut stiffness ratio and self-stress. Scale effect as well as coupling of the first and second gradient terms are identified. The extended solid model can be used for the evaluation of unusual mechanical properties of tensegrity lattices.

scholarly journals Continuum model of a one-dimensional lattice of metamaterials

2016 ◽  
Vol 227 (8) ◽  
pp. 2361-2376 ◽  
Author(s):  
Yahong Zhou ◽  
Peijun Wei ◽  
Qiheng Tang
Keyword(s):  
Continuum Model ◽  
Dimensional Lattice ◽  
One Dimensional
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