scholarly journals Heisenberg models and a particular isotropic model

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

Semi-isotropic model for radiation heat transfer.

AIAA Journal ◽  
1967 ◽  
Vol 5 (11) ◽  
pp. 1971-1975 ◽  
Author(s):  
C. S. LANDRAM ◽  
R. GREIF
Keyword(s):  
Heat Transfer ◽  
Radiation Heat Transfer ◽  
Isotropic Model ◽  
Radiation Heat

Theory of Critical-Point Scattering and Correlations. II. Heisenberg Models

1972 ◽  
Vol 5 (7) ◽  
pp. 2668-2692 ◽  
Author(s):  
Douglas S. Ritchie ◽  
Michael E. Fisher
Keyword(s):  
Critical Point ◽  
Heisenberg Models

Multilayer Heisenberg models: linear spin wave analysis

1998 ◽  
Vol 190 (3) ◽  
pp. 321-331 ◽  
Author(s):  
Abdelilah Benyoussef ◽  
Abdelrhani Boubekri ◽  
Hamid Ez-Zahraouy
Keyword(s):  
Spin Wave ◽  
Wave Analysis ◽  
Heisenberg Models

scholarly journals Modeling the cyclic plasticity behavior of 42CrMo4 steel with an isotropic model calibrated on the whole shape of the evolution curve

2020 ◽  
Vol 28 ◽  
pp. 53-60
Author(s):  
Jelena Srnec Novak ◽  
Marina Franulović ◽  
Denis Benasciutti ◽  
Francesco De Bona
Keyword(s):  
Cyclic Plasticity ◽  
Isotropic Model ◽  
42Crmo4 Steel ◽  
Evolution Curve

Homogeneous rectangular tessellations

1996 ◽  
Vol 28 (4) ◽  
pp. 993-1013 ◽  
Author(s):  
Margaret S. Mackisack ◽  
Roger E. Miles
Keyword(s):  
Blocking Effect ◽  
Basic Theory ◽  
Isotropic Model ◽  
Mean Values ◽  
First Order ◽  
Multi Stage ◽  
True Model

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.

scholarly journals Influence of Orthotropy on Biomechanics of Peri-Implant Bone in Complete Mandible Model with Full Dentition

2014 ◽  
Vol 2014 ◽  
pp. 1-12 ◽  
Author(s):  
Xi Ding ◽  
Sheng-Hui Liao ◽  
Xing-Hao Zhu ◽  
Hui-Ming Wang
Keyword(s):  
Orthotropic Material ◽  
Tooth Enamel ◽  
Local Stress ◽  
Isotropic Case ◽  
Stress And Strain ◽  
Isotropic Model ◽  
Bone Interface ◽  
Multiple Data ◽  
Cad Models ◽  
The Impact

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.

Multi-waves interaction and optical solitons for Heisenberg models of fractal order

2021 ◽  
Author(s):  
Loubna Ouahid ◽  
M. A. Abdou ◽  
S. Owyed ◽  
A. M. Abdel-Baset ◽  
M. Inc
Keyword(s):  
Optical Solitons ◽  
Heisenberg Models ◽  
Waves Interaction
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