Multiscale Asymptotic Homogenization of Heterogeneous Slab and Column Structures with Three-Dimensional Microstructures

2013 ◽  
Author(s):  
Dongdong Wang ◽  
Lingming Fang ◽  
Pinkang Xie
Keyword(s):  
Three Dimensional ◽  
Asymptotic Homogenization

The Asymptotic Homogenization Method of the Settlement Calculation of the Cement-Soil Pile Composite Foundation

2011 ◽  
Vol 217-218 ◽  
pp. 390-395
Author(s):  
Ming Qin Guo ◽  
Jie Li ◽  
Shi Cheng Ma ◽  
Zhi Lin Liu
Keyword(s):  
Elastic Foundation ◽  
Three Dimensional ◽  
Elastic Parameter ◽  
Homogenization Method ◽  
Calculation Model ◽  
Composite Foundation ◽  
Homogenization Theory ◽  
Asymptotic Homogenization ◽  
Asymptotic Homogenization Method ◽  
Cement Soil

The finite element calculation model of the cement-soil pile composite foundation based on asymptotic homogenization theory has been built, under the state of three-dimensional stress, the equivalent elastic parameter of the composite elastic foundation model has been calculated, and depending on which, the settlement quantity has been calculated. Analysis through comparison with the testing result shows that it is feasible to use the homogenization method for calculating the settlement quantity of the composite elastic foundation, which sets up a theoretical basis for further analysis of homogenization method about composite foundation.

Study on Multi-Void Microstructure of Asymptotic Homogenization for Topology Optimization

2011 ◽  
Vol 233-235 ◽  
pp. 1935-1939
Author(s):  
Yan Hui Qie ◽  
Bo Liu ◽  
Xiu Hong Wang ◽  
Xiao Lei Li ◽  
Bao Wang Ban
Keyword(s):  
Topology Optimization ◽  
Potential Energy ◽  
Structural Optimization ◽  
Mathematical Models ◽  
Three Dimensional ◽  
Homogenization Method ◽  
Total Potential Energy ◽  
Asymptotic Homogenization ◽  
Total Potential ◽  
Porous Microstructure

One kind of multi-void three-dimensional microstructure models based on homogenization method is constructed. Based on multi-void microstructure, the mathematical models for the topological structural optimization which takes maximizing the total potential energy as the objective function is constructed, then the Kuhn-Tucker optimality condition of the update method about the designs variable based on the porous microstructure can be gotten when optimization iterates. Finally, in explaining the employed algorithm an example is provided.

Asymptotic homogenization of three-dimensional thermoelectric composites

2015 ◽  
Vol 76 ◽  
pp. 98-126 ◽  
Author(s):  
Yang Yang ◽  
Chihou Lei ◽  
Cun-Fa Gao ◽  
Jiangyu Li
Keyword(s):  
Three Dimensional ◽  
Asymptotic Homogenization

The orbit of Pluto over a long interval of time

1966 ◽  
Vol 25 ◽  
pp. 227-229 ◽  
Author(s):  
D. Brouwer
Keyword(s):  
Periodic Orbit ◽  
Numerical Integration ◽  
Restricted Problem ◽  
Three Dimensional ◽  
The Third ◽  
Circular Restricted Problem ◽  
Resonance Relation

The paper presents a summary of the results obtained by C. J. Cohen and E. C. Hubbard, who established by numerical integration that a resonance relation exists between the orbits of Neptune and Pluto. The problem may be explored further by approximating the motion of Pluto by that of a particle with negligible mass in the three-dimensional (circular) restricted problem. The mass of Pluto and the eccentricity of Neptune's orbit are ignored in this approximation. Significant features of the problem appear to be the presence of two critical arguments and the possibility that the orbit may be related to a periodic orbit of the third kind.

Conformation of Ribosomes from Escherichia Coli

1974 ◽  
Vol 32 ◽  
pp. 210-211
Author(s):  
M. Boublik ◽  
W. Hellmann ◽  
F. Jenkins
Keyword(s):  
Binding Sites ◽  
Ribosomal Proteins ◽  
Fluorescent Dyes ◽  
Protein Biosynthesis ◽  
Three Dimensional ◽  
Spatial Arrangement ◽  
Dimensional Structure ◽  
Complete Understanding ◽  
And Function

The present knowledge of the three-dimensional structure of ribosomes is far too limited to enable a complete understanding of the various roles which ribosomes play in protein biosynthesis. The spatial arrangement of proteins and ribonuclec acids in ribosomes can be analysed in many ways. Determination of binding sites for individual proteins on ribonuclec acid and locations of the mutual positions of proteins on the ribosome using labeling with fluorescent dyes, cross-linking reagents, neutron-diffraction or antibodies against ribosomal proteins seem to be most successful approaches. Structure and function of ribosomes can be correlated be depleting the complete ribosomes of some proteins to the functionally inactive core and by subsequent partial reconstitution in order to regain active ribosomal particles.

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