Axial buckling scrutiny of doubly orthogonal slender nanotubes via nonlocal continuum theory

2015 ◽  
Vol 29 (10) ◽  
pp. 4267-4272 ◽  
Author(s):  
Keivan Kiani
Keyword(s):  
Continuum Theory ◽  
Nonlocal Continuum ◽  
Axial Buckling ◽  
Nonlocal Continuum Theory

scholarly journals ON MULTISCALE DAMAGE MODELLING OF HETEROGENEOUS MATERIALS USING NONLOCAL CONTINUUM THEORY

Brodogradnja ◽  
2021 ◽  
Vol 72 (4) ◽  
pp. 121-139
Author(s):  
Jurica Sorić ◽  
◽  
Tomislav Lesičar ◽  
Filip Putar ◽  
Zdenko Tonković ◽  
...  
Keyword(s):  
Finite Element ◽  
Equivalent Plastic Strain ◽  
Continuum Theory ◽  
Material Point ◽  
Ductile Damage ◽  
Element Formulation ◽  
State Variables ◽  
Nonlocal Continuum ◽  
Element Discretization ◽  
Nonlocal Continuum Theory

An overview of the modelling of quasi-brittle as well as ductile damage is given. The multiscale procedure employing the nonlocal continuum theory is described in more detail. The softening is introduced at the microlevel in the microstructural volume element and after that the homogenization procedure state variables are mapped at the macrolevel material point via the scale transition approach. In the case of quasi-brittle softening the C1 continuous finite element discretization is applied at both micro- and macrolevel. At the modelling of ductile damage response, the macrolevel is also discretized by the C1 finite element formulation, while the microscale utilizes quadrilateral mixed finite elements employing the nonlocal equivalent plastic strain and gradient-enhanced elastoplasticity. All approaches presented are verified in the standard examples.

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