Isotropic model of quadrupole glass

1991 ◽  
Vol 87 (3) ◽  
pp. 669-673 ◽  
Author(s):  
E. A. Luchinskaya ◽  
E. E. Tareeva
1992 ◽  
Vol 91 (1) ◽  
pp. 438-445 ◽  
Author(s):  
E. A. Luchinskaya ◽  
E. E. Tareeva

AIAA Journal ◽  
1967 ◽  
Vol 5 (11) ◽  
pp. 1971-1975 ◽  
Author(s):  
C. S. LANDRAM ◽  
R. GREIF

2020 ◽  
Vol 28 ◽  
pp. 53-60
Author(s):  
Jelena Srnec Novak ◽  
Marina Franulović ◽  
Denis Benasciutti ◽  
Francesco De Bona

1993 ◽  
Vol 48 (10) ◽  
pp. 7125-7133 ◽  
Author(s):  
A. J. van der Sijs

1996 ◽  
Vol 28 (4) ◽  
pp. 993-1013 ◽  
Author(s):  
Margaret S. Mackisack ◽  
Roger E. Miles

A rectangular tessellation is a covering of the plane by non-overlapping rectangles. A basic theory for general homogeneous random rectangular tessellations is developed, and it is shown that many first-order mean values may be expressed in terms of just three basic quantities. Corresponding values for independent superpositions of two or more such tessellations are derived. The most interesting homogeneous rectangular tessellations are those with only T-vertices (i.e. no X-vertices). Gilbert's (1967) isotropic model adapted to this two-orthogonal-orientations case, although simply specified, appears theoretically intractable, due to a complex ‘blocking' effect. However, the approximating penetration model, also introduced by Gilbert, is found to be both tractable and informative about the true model. A multi-stage method for simulating the model is developed, and the distributions of important characteristics estimated.


2014 ◽  
Vol 2014 ◽  
pp. 1-12 ◽  
Author(s):  
Xi Ding ◽  
Sheng-Hui Liao ◽  
Xing-Hao Zhu ◽  
Hui-Ming Wang

Objective.The study was to investigate the impact of orthotropic material on the biomechanics of dental implant, based on a detailed mandible with high geometric and mechanical similarity.Materials and Methods.Multiple data sources were used to elaborate detailed biological structures and implant CAD models. In addition, an extended orthotropic material assignment methodology based on harmonic fields was used to handle the alveolar ridge region to generate compatible orthotropic fields. The influence of orthotropic material was compared with the commonly used isotropic model and simplified orthotropic model.Results.The simulation results showed that the values of stress and strain on the implant-bone interface almost increased in the orthotropic model compared to the isotropic case, especially for the cancellous bone. However, the local stress concentration was more obvious in the isotropic case compared to that in orthotropic case. The simple orthotropic model revealed irregular stress and strain distribution, compared to the isotropic model and the real orthotropic model. The influence of orthotropy was little on the implant, periodontal ligament, tooth enamel, and dentin.Conclusion.The orthotropic material has significant effect on stress and strain of implant-bone interface in the mandible, compared with the isotropic simulation. Real orthotropic mechanical properties of mandible should be emphasized in biomechanical studies of dental implants.


2008 ◽  
Vol 54 (187) ◽  
pp. 643-645 ◽  
Author(s):  
Sérgio H. Faria

AbstractA new ice-sheet flow model called CAFFE (Continuum-mechanical Anisotropic Flow model based on an anisotropic Flow Enhancement factor) has recently become a source of considerable controversy within the glaciological community. Its main proponents (Placidi, Greve and Seddik) defend the thesis that this model can describe the effect of induced anisotropy on ice-sheet flow, while others assert that the CAFFE model is merely an isotropic model. Here I resolve this dispute by rigorously deriving the symmetry group of the CAFFE model.


Author(s):  
Hans P. Mlejnek

Abstract An essential part in the genesis of structures or optimal material distribution is the relation between elastic behaviour and material density. This approach makes use of a isotropic material model, which leads to very simple working conditions. The isotropic model is directly formulated and utilized without employing homogenization based on an artificial microstructure. It is shown in theoretical considerations and demonstrated by examples, that this idea works also very easily with plate and shells, even for very general layer structures.


Author(s):  
T Muneer

An anisotropic model for predicting inclined surface solar irradiation has previously been reported by the author. The modelling exercise was furthered by analysing one-year measured hourly irradiation data, for five tilted surfaces, for Lerwick (60°08'N). The optimum values of the coefficients for Lerwick were found to be near those reported earlier for Easthampstead (51°23'N). The approach of separating sunlit surfaces from shaded ones and distinguishing between overcast and non-overcast sunlit surfaces was found to be fruitful again. A statistical test was employed for the validation of the isotropic and the presently proposed model for Lerwick. The isotropic model proved to be quite inadequate. The model now proposed was found to be adequate for the three cases although the plot between measured and computed sloped irradiation showed that the model for sunlit surfaces under non-overcast conditions could be further improved by incorporating the change of turbidity over the year. A similar plot prepared with Easthampstead data for an inclined surface reconfirmed the validity of the model established earlier.


2018 ◽  
Vol 363 (9) ◽  
Author(s):  
D. Kileba Matondo ◽  
S. D. Maharaj ◽  
S. Ray

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