Multiscale Analysis of Composite Structures

2015 ◽  
pp. 207-254
Author(s):  
Young W. Kwon
Keyword(s):  
Composite Structures ◽  
Multiscale Analysis

Multiscale Analysis of Multifunctional Composite Structures

2013 ◽  
Author(s):  
Yehia Bahei-El-Din ◽  
Amany Micheal
Keyword(s):  
Finite Element ◽  
Electric Field ◽  
Composite Structures ◽  
Multiscale Analysis ◽  
Fibrous Composite ◽  
Computation Time ◽  
Local Fields ◽  
Composite Medium ◽  
Field Analysis ◽  
Laminated Structures

In a truly multiscale analysis of multilayered composites, the underlying phenomena are represented and their effect on the overall behavior is determined considering the interaction between the different phases and between the laminas. The analysis gets more involved when multiple phenomena are considered since in this case not only the direct effects play a role but also the coupled effects contribute to the distribution of the local fields and the overall response. In a fibrous composite laminate reinforced with piezoelectric filaments, for example, passing an electric field in the fibers generates stresses and strains which propagate through the composite medium due to constraints that exist both at the micromechanical, ply level, and the macromechanical, laminate level. Pyroelectricity is another coupling phenomenon in which a temperature change is caused by an electric field, and hence leads to changes in the stress and strain fields throughout the composite medium. The above phenomena have been considered by the authors in a unified, transformation field analysis (TFA) approach in which stresses and strains which cannot be removed by mechanical unloading are treated as transformation fields. Due to mutual constraints of the phases and the bonded plies, local transformations generate stresses at the micro and macro levels, which are computed by means of influence functions which depend on material geometry and properties. Treatment of damage follows the same scheme but the transformation fields are instead determined such that the local stresses in the affected phase are removed. In the present paper, implementation of the TFA approach in a general purpose finite element code is described. This expands the multiscale analysis outlined above to composite structures where complex geometries can be modeled and the effect of local phenomena can be considered. This naturally comes at a much larger cost of the computations compared to finite element analysis with homogenized models but the benefit of obtaining a more realistic response is clear. Moreover, the availability of high performance computing and parallel processing overcomes the computation time barrier. In the present paper however, simple examples of laminated structures are given as proof of concept in which the results are compared to those of standalone routines. Since the TFA approach centers on treating the composite medium as elastic with induced local transformations, implementation in the finite element framework does not require generation of an overall instantaneous stiffness matrix, which saves tremendously on the computation time. Instead, overall transformation strains, or stresses, are computed through a multiscale model, which is implemented as a user routine, and treated in the general finite element solution as nonmechanical strains in the same way thermal strains are treated.

Multiscale analysis of woven composite structures in MSC.Nastran

2019 ◽  
Vol 135 ◽  
pp. 102677 ◽  
Author(s):  
Xin Liu ◽  
Federico Gasco ◽  
Wenbin Yu ◽  
Johnathan Goodsell ◽  
Khizar Rouf
Keyword(s):  
Composite Structures ◽  
Multiscale Analysis ◽  
Woven Composite

Multiscale analysis in nonlinear thermal diffusion problems in composite structures

Open Physics ◽  
2010 ◽  
Vol 8 (4) ◽  
Author(s):  
Claudia Timofte
Keyword(s):  
Asymptotic Behavior ◽  
Temperature Field ◽  
Thermal Diffusion ◽  
Composite Structures ◽  
Multiscale Analysis ◽  
Dynamical Boundary Condition ◽  
Periodic Composite ◽  
Two Component ◽  
New System ◽  
Diffusion Problems

AbstractThe aim of this paper is to analyze the asymptotic behavior of the solution of a nonlinear problem arising in the modelling of thermal diffusion in a two-component composite material. We consider, at the microscale, a periodic structure formed by two materials with different thermal properties. We assume that we have nonlinear sources and that at the interface between the two materials the flux is continuous and depends in a dynamical nonlinear way on the jump of the temperature field. We shall be interested in describing the asymptotic behavior of the temperature field in the periodic composite as the small parameter which characterizes the sizes of our two regions tends to zero. We prove that the effective behavior of the solution of this system is governed by a new system, similar to Barenblatt’s model, with additional terms capturing the effect of the interfacial barrier, of the dynamical boundary condition, and of the nonlinear sources.

scholarly journals Enabling Multiscale Analysis of Very Large Composite Structures

2021 ◽  
Author(s):  
S. Pinho ◽  
M. Matos ◽  
R. Costa ◽  
A. Ibbotson ◽  
M. Ostergaard
Keyword(s):  
Composite Structures ◽  
Multiscale Analysis

A review on stochastic multiscale analysis for FRP composite structures

2022 ◽  
pp. 115132
Author(s):  
Xiao-Yi Zhou ◽  
Sheng-Yu Qian ◽  
Neng-Wei Wang ◽  
Wen Xiong ◽  
Wen-Qing Wu
Keyword(s):  
Composite Structures ◽  
Multiscale Analysis ◽  
Frp Composite

In Situ microscopy of the anodic etching of silicon

1995 ◽  
Vol 53 ◽  
pp. 232-233
Author(s):  
Frances M. Ross ◽  
Peter C. Searson
Keyword(s):  
Composite Structures ◽  
High Surface ◽  
High Surface Area ◽  
Chemical Properties ◽  
Selective Etching ◽  
Silicon On Insulator ◽  
Second Phase ◽  
Porous Layers ◽  
New Class ◽  
Porous Semiconductors

Porous semiconductors represent a relatively new class of materials formed by the selective etching of a single or polycrystalline substrate. Although porous silicon has received considerable attention due to its novel optical properties1, porous layers can be formed in other semiconductors such as GaAs and GaP. These materials are characterised by very high surface area and by electrical, optical and chemical properties that may differ considerably from bulk. The properties depend on the pore morphology, which can be controlled by adjusting the processing conditions and the dopant concentration. A number of novel structures can be fabricated using selective etching. For example, self-supporting membranes can be made by growing pores through a wafer, films with modulated pore structure can be fabricated by varying the applied potential during growth, composite structures can be prepared by depositing a second phase into the pores and silicon-on-insulator structures can be formed by oxidising a buried porous layer. In all these applications the ability to grow nanostructures controllably is critical.

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