Multiscale finite element analysis of uncertain-but-bounded heterogeneous materials at finite deformation

2018 ◽  
Vol 149 ◽  
pp. 15-31 ◽  
Author(s):  
Juan Ma ◽  
Wenyi Du ◽  
Wei Gao ◽  
Peter Wriggers ◽  
Xiangdong Xue
Keyword(s):  
Finite Element Analysis ◽  
Finite Element ◽  
Finite Deformation ◽  
Heterogeneous Materials ◽  
Element Analysis ◽  
Multiscale Finite Element

scholarly journals Osteocyte lacunar strain determination using multiscale finite element analysis

Bone Reports ◽  
2020 ◽  
Vol 12 ◽  
pp. 100277 ◽  
Author(s):  
Sravan K. Kola ◽  
Mark T. Begonia ◽  
LeAnn M. Tiede-Lewis ◽  
Loretta E. Laughrey ◽  
Sarah L. Dallas ◽  
...  
Keyword(s):  
Finite Element Analysis ◽  
Finite Element ◽  
Element Analysis ◽  
Multiscale Finite Element ◽  
Strain Determination ◽  
Osteocyte Lacunar

scholarly journals Multiscale analysis of instabilities in heterogeneous materials using ANM and multilevel FEM

2012 ◽  
Author(s):  
Saeid Nezamabadi ◽  
Hamid Zahrouni ◽  
Julien Yvonnet ◽  
Michel Potier-Ferry
Keyword(s):  
Finite Element Analysis ◽  
Finite Element ◽  
Multiscale Analysis ◽  
Numerical Technique ◽  
Constitutive Relations ◽  
Heterogeneous Materials ◽  
Perturbation Approach ◽  
Element Analysis ◽  
Numerical Examples ◽  
Asymptotic Numerical Method

In this study, we propose a numerical technique which combines a perturbation approach (asymptotic numerical method) and a multilevel finite element analysis. This procedure allows dealing with instability phenomena in the context of heterogeneous materials where buckling may occur at both macroscopic and/or microscopic scales. Different constitutive relations are applied and geometrical non-linearity is taken into account at both scales. Numerical examples involving instabilities at both micro and macro levels are presented.

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