Multiscale Homogenization and Analysis of Anisotropic Assemblies as Cosserat Continua

Fantuzzi, Nicholas; Shi, Farui; Colatosti, Marco

doi:10.1615/intjmultcompeng.2022043195

Cited by 8 publications

(1 citation statement)

References 92 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…For comparison, the Cauchy continuum is also considered here to carry out the same simulations as performed by the Cosserat continuum. Because of the lack in microstructures, the constitutive relation of the Cauchy continuum has the form of: σ = Âε, where the matrix Â is obtained from A and their relationship can be found in the previous literature as [41]:…”

Section: Numerical Simulationmentioning

confidence: 99%

Stress Field Evaluation in Orthotropic Microstructured Composites with Holes as Cosserat Continuum

et al. 2022

Self Cite

View full text Add to dashboard Cite

It is known that the presence of microstructures in solids such as joints and interfaces has an essential influence on the studies of the development of advanced materials, rock mechanics, civil engineering, and so on. However, microstructures are often neglected in the classical local (Cauchy) continuum model, resulting in inaccurate descriptions of the behavior of microstructured materials. In this work, in order to show the impact of microstructures, an implicit `non-local’ model, i.e., micropolar continuum (Cosserat), is used to numerically investigate the effects of direction and scale of microstructures on the tension problem of a composite plate with a circular hole. The results show that distributions of field variables (such as displacements and stresses) have an obvious directionality with respect to the microstructures’ direction. As the scale of microstructures increases, such a direction effect becomes more evident. Unlike the isotropic material where stress concentration occurs at the vertex of the hole and the stress concentration factor is close to 3, for the microstructured composite, the stress concentration can be observed at any location depending on the microstructures’ directions, and the concentration factor can exceed 3 to a maximum close to 9 as the increasing scale of microstructures. In addition, differences in the mechanical behavior between Cosserat and Cauchy models can be also observed; such differences are more evident for the material showing a pronounced orthotropic nature.

show abstract

Section: Numerical Simulationmentioning

confidence: 99%