Analysis of concrete beams using applied element method

Christy, D. Lincy; Pillai, T. M. Madhavan; Nagarajan, Praveen

doi:10.1088/1757-899x/330/1/012117

Cited by 4 publications

(8 citation statements)

References 2 publications

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“…To transmit normal and shear stress, AEM elements are linked by a series of normal and shear springs. Springs, by their characteristics, stresses, and strains, characterize a specific volume of the elements Gohel et al, 2013;Shakeri & Bargi, 2015;Christy, Pillai, & Nagarajan, 2018). A spring is disconnected when the stress exceeds the permitted limit.…”

Section: Applied Element Methods (Aem)mentioning

confidence: 99%

Behavior and failure tracking of structural elements using applied element method

Badawy

Mustafa

Eraky

2022

srees

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Applied element method (AEM) is a recently displacement-based structural analysis method. It provides the benefits of both the finite element method (FEM) and the discrete element method (DEM). This method relies on those structures are segmented into rigid elements linked by normal and shear springs. In this paper a brief note of the AEM is given. Then, using the AEM, a 2D MATLAB open source program was created to analyze different structures with varied boundary conditions and to permit researchers for enhancing the method. The proposed program was verified using linear elastic analysis and large deformation static analysis. The influence of element size and the number of connecting springs between elements was studied. Finally, the proposed program was capable of tracking failed elements and their spread. In addition, the program could predict deflection values and structure deformed shape.

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Section: Applied Element Methods (Aem)mentioning

confidence: 99%

Behavior and failure tracking of structural elements using applied element method

Badawy

Mustafa

Eraky

2022

srees

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“…The simpler stiffness matrix reported in Equation is one of the advantages of AEM 8

K = ((), \begin{array}{c} k_{n} & 0 & - k_{n} y & - k_{n} & 0 & k_{n} y \\ 0 & k_{s} & k_{s} x & 0 & - k_{s} & k_{s} x \\ - k_{n} y & k_{s} x & k_{n} y^{2} + k_{s} x^{2} & k_{n} y & - k_{s} x & - k_{n} y^{2} + k_{s} x^{2} \\ - k_{n} & 0 & k_{n} y & k_{n} & 0 & - k_{n} y \\ 0 & - k_{s} & - k_{s} x & 0 & k_{s} & - k_{s} x \\ k_{n} y & k_{s} & - k_{n} y^{2} + k_{s} x & - k_{n} y & - k_{s} x & k_{n} y^{2} + k_{s} x^{2} \end{array}),

where k n and k s are the stiffness of the normal spring and shear spring, respectively, and are given by Equation .…”

Section: Applied Element Methodsmentioning

confidence: 99%

Determination of stress concentration factor using applied element method

Pillai

Nagarajan

2020

Mat Design & Process Comms

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Applied element method is a numerical tool for the analysis of structures. It is a rigid body method in which flexibility is introduced with the help of springs. It has few advantages such as lesser processing time and memory requirement than other numerical methods. In conventional numerical methods, node‐to‐node connection is necessary, and hence, transition elements are used to connect elements of different sizes. But in applied element method, node‐to‐node connection is not required, and hence, transition element is not used. As springs are used for connecting the elements, cracking can be modelled by removing the springs. Hence, failure analysis can be done more realistically using applied element method. The complete analysis up to collapse of the structure is also possible with applied element method. To illustrate this fact, applied element method is used to determine the stress concentration factor in this paper. Stress concentration factor in plate of finite width with circular and elliptical hole are determined with reasonable accuracy.

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“…These degrees of freedom actually demonstrate the elements rotations and translations. A unit displacement at the centroid of the element is applied to determine the element stiffness matrix of any pair of springs around the element, and the forces at the other degrees of freedom are calculated if they are fixed [12,13]. This results in a small, only sized stiffness matrix (6*6).…”

Section: Element Formulationmentioning

confidence: 99%

“…Therefore, the number of elements should be increased rather than increasing the number of springs. The reactions are precisely calculated even with less elements and springs [13].…”

Section: Effect Of Element Sizementioning

confidence: 99%

See 1 more Smart Citation

Structural Analysis Using Applied Element Method: A Review

Eraky

Mustafa

Badawy

2021

The Egyptian International Journal of Engineering Sciences and

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This paper presents a review on a displacement-based method of structural analysis. In Applied Element Method (AEM), the structure is simulated as an assembly of elements formed by dividing the structure virtually. These elements are connected in both normal and tangential directions by springs. AEM can be used to analyze structural behavior from the initial loading until total collapse. It combines between the advantages of Finite Element Method (FEM) and Discrete Element Method (DEM). In this paper, the differences between AEM and the other numerical methods are discussed. Next, basic introduction to AEM and its assumptions are presented. The element formulation and the effect of number of the connecting springs between elements in addition to the element size are illustrated. Finally, applications of AEM such as cyclic loading condition, dynamic small and large deformation range, creep theory, functionally graded material, masonry building and fiber reinforced polymer and polypropylene composite are explained.

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Analysis of concrete beams using applied element method

Cited by 4 publications

References 2 publications

Behavior and failure tracking of structural elements using applied element method

Behavior and failure tracking of structural elements using applied element method

Determination of stress concentration factor using applied element method

Structural Analysis Using Applied Element Method: A Review

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