scholarly journals A generalized finite element formulation for arbitrary basis functions: From isogeometric analysis to XFEM

2010 ◽  
Vol 83 (6) ◽  
pp. 765-785 ◽  
Author(s):  
D. J. Benson ◽  
Y. Bazilevs ◽  
E. De Luycker ◽  
M.-C. Hsu ◽  
M. Scott ◽  
...  
Keyword(s):  
Finite Element ◽  
Isogeometric Analysis ◽  
Basis Functions ◽  
Finite Element Formulation ◽  
Element Formulation ◽  
Generalized Finite Element

scholarly journals Generalized finite element formulation for efficient first-order plastic hinge analysis

2019 ◽  
Vol 11 (3) ◽  
pp. 168781401983636
Author(s):  
Dae-Jin Kim ◽  
Hong-Jun Son ◽  
Yousun Yi ◽  
Sung-Gul Hong
Keyword(s):  
Finite Element ◽  
Degrees Of Freedom ◽  
Plastic Hinge ◽  
Computational Cost ◽  
Finite Element Formulation ◽  
Solution Technique ◽  
Element Formulation ◽  
Plastic Hinges ◽  
First Order ◽  
Generalized Finite Element

This article presents generalized finite element formulation for plastic hinge modeling based on lumped plasticity in the classical Euler–Bernoulli beam. In this approach, the plastic hinges are modeled using a special enrichment function, which can describe the weak discontinuity of the solution at the location of the plastic hinge. Furthermore, it is also possible to insert a plastic hinge at an arbitrary location of the element without modifying its connectivity or adding more elements. Instead, the formations of the plastic hinges are achieved by hierarchically adding more degrees of freedom to existing elements. Due to these features, the proposed methodology can efficiently perform the first-order plastic hinge analysis of large-frame structures. A generalized finite element solution technique based on the static condensation scheme is also proposed in order to reduce the computational cost of a series of linear elastic problems, which is in general the most time-consuming portion of the first-order plastic hinge analysis. The effectiveness and accuracy of the proposed method are verified by analyzing several representative numerical examples.

scholarly journals Behaviour and Optimization Aids of Composite Stiffened Hypar Shell Roofs with Cutout under Free Vibration

2012 ◽  
Vol 2012 ◽  
pp. 1-14 ◽  
Author(s):  
Sarmila Sahoo
Keyword(s):  
Finite Element ◽  
Free Vibration ◽  
Beam Element ◽  
Finite Element Formulation ◽  
Benchmark Problems ◽  
Element Formulation ◽  
Optimum Size ◽  
Isoparametric Element ◽  
Generalized Finite Element ◽  
Practical Constraints

A scrutiny of the literature reveals that the free vibration characteristics of stiffened composite hypar shell with cutout are missing. So a generalized finite element formulation for the stiffened hyperbolic paraboloidal shells bounded by straight edges (commonly called as hypar shells) is attempted using an eight-noded curved quadratic isoparametric element for shell with a three-noded beam element for stiffener. Numerical problems of earlier investigators are solved as benchmark problems to validate the approach. A number of problems are further solved by varying the size of the cutouts and their positions with respect to the shell centre for different edge constraints. The results are presented in the form of figures and tables. The results are further analysed to suggest guidelines to select optimum size and position of the cutout with respect to shell centre considering the different practical constraints.

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