Analysis of Statically Indeterminate Structures by the Force Method (Flexibility Method or Method of Consistent Deformation)

2021 ◽  
pp. 79-97
Author(s):  
Kenneth Derucher ◽  
Chandrasekhar Putcha ◽  
Uksun Kim ◽  
Hota V.S. GangaRao
Keyword(s):  
Force Method ◽  
Indeterminate Structures

scholarly journals Application of Hyperelastic Nodal Force Method to Evaluation of Aortic Valve Cusps Coaptation: Thin Shell vs. Membrane Formulations

Mathematics ◽  
2021 ◽  
Vol 9 (12) ◽  
pp. 1450
Author(s):  
Yuri Vassilevski ◽  
Alexey Liogky ◽  
Victoria Salamatova
Keyword(s):  
Aortic Valve ◽  
Finite Elements ◽  
Shell Model ◽  
Thin Shell ◽  
Aortic Valves ◽  
Shear Moduli ◽  
Force Method ◽  
Elastic Potentials ◽  
Shell Analysis ◽  
First Time

Coaptation characteristics are crucial in an assessment of the competence of reconstructed aortic valves. Shell or membrane formulations can be used to model the valve cusps coaptation. In this paper we compare both formulations in terms of their coaptation characteristics for the first time. Our numerical thin shell model is based on a combination of the hyperelastic nodal forces method and the rotation-free finite elements. The shell model is verified on several popular benchmarks for thin-shell analysis. The relative error with respect to reference solutions does not exceed 1–2%. We apply our numerical shell and membrane formulations to model the closure of an idealized aortic valve varying hyperelasticity models and their shear moduli. The coaptation characteristics become almost insensitive to elastic potentials and sensitive to bending stiffness, which reduces the coaptation zone.

Geometry optimization of acetonitrile monomer and dimers using CNDO/force method

1986 ◽  
Vol 96 (3-4) ◽  
pp. 285-290 ◽  
Author(s):  
R Brakaspathy ◽  
Surjit Singh
Keyword(s):  
Geometry Optimization ◽  
Force Method

reduction of equilibrium, compatibility and flexibility matrices, in the force method

1992 ◽  
Vol 35 (6) ◽  
pp. 1219-1236 ◽  
Author(s):  
S. Pellegrino ◽  
A. S. K. Kwan ◽  
T. F. Van Heerden
Keyword(s):  
Force Method
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