scholarly journals Development of finite elements for two-dimensional structural analysis using the integrated force method

1996 ◽  
Vol 59 (4) ◽  
pp. 691-706 ◽  
Author(s):  
I. Kaljević ◽  
S.N. Patnaik ◽  
D.A. Hopkins
Keyword(s):  
Structural Analysis ◽  
Finite Elements ◽  
Two Dimensional ◽  
Force Method ◽  
Integrated Force Method

Three-dimensional structural analysis by the integrated force method

1996 ◽  
Vol 58 (5) ◽  
pp. 869-886 ◽  
Author(s):  
I. Kaljević ◽  
S.N. Patnaik ◽  
D.A. Hopkins
Keyword(s):  
Structural Analysis ◽  
Three Dimensional ◽  
Force Method ◽  
Integrated Force Method

scholarly journals Nonlinear structural analysis using integrated force method

Sadhana ◽  
2000 ◽  
Vol 25 (4) ◽  
pp. 353-365 ◽  
Author(s):  
N R B Krishnam Raju ◽  
J Nagabhushanam
Keyword(s):  
Structural Analysis ◽  
Force Method ◽  
Nonlinear Structural Analysis ◽  
Nonlinear Structural ◽  
Integrated Force Method

The selection of redundant forces in structures, with an application to the collapse analysis of frameworks

1967 ◽  
Vol 301 (1467) ◽  
pp. 493-505 ◽  
Keyword(s):  
Structural Analysis ◽  
Computer Program ◽  
Plastic Collapse ◽  
Two Dimensional ◽  
Collapse Load ◽  
Rigid Plastic ◽  
Force Method ◽  
Collapse Analysis ◽  
Structural Frame ◽  
Selection Of

Two systematic methods of selecting redundant forces and moments are presented which are suitable for computer programs based on the ‘force’ method of structural analysis. To illustrate the application of the methods a computer program is described which calculates the rigid-plastic collapse load of a two-dimensional structural frame from a specification of its geometry and loading. The program also computes the mode of collapse and produces a drawing of the deformed structure on an automatic plotter.

Recent advances in the method of forces: integrated force method of structural analysis

1998 ◽  
Vol 29 (3-6) ◽  
pp. 463-474 ◽  
Author(s):  
Surya N. Patnaik ◽  
Rula M. Coroneos ◽  
Dale A. Hopkins
Keyword(s):  
Structural Analysis ◽  
Force Method ◽  
Recent Advances ◽  
Integrated Force Method

Improved accuracy for finite element structural analysis via an integrated force method

1992 ◽  
Vol 45 (3) ◽  
pp. 521-542 ◽  
Author(s):  
S.N. Patnaik ◽  
D.A. Hopkins ◽  
R.A. Aiello ◽  
L. Berke
Keyword(s):  
Finite Element ◽  
Structural Analysis ◽  
Force Method ◽  
Integrated Force Method ◽  
Improved Accuracy

Finite elements-boundary elements coupling for the movement modeling in two-dimensional structures

1992 ◽  
Vol 2 (11) ◽  
pp. 2035-2044 ◽  
Author(s):  
A. Nicolet ◽  
F. Delincé ◽  
A. Genon ◽  
W. Legros
Keyword(s):  
Finite Elements ◽  
Boundary Elements ◽  
Two Dimensional

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.

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