A Computationally Efficient Beam Element for FEM/DEMSimulations of Structural Failure and Collapse. Bangash, T. & Munjiza, A. In Discrete Element Methods, of Proceedings, pages 133–137. April, 2012.
A Computationally Efficient Beam Element for FEM/DEMSimulations of Structural Failure and Collapse [link]Paper  doi  abstract   bibtex   
The research here presented has employed the newly evolved combined finite-discrete element method in the development of novel numerical solutions for the analysis of failure and collapse of reinforced concrete structures under hazardous loads such as those arising from blast loading. Recent bomb explosions have made engineers more aware of the need to develop efficient computational tools as a viable cost effective means of analysing the failure, fracture and collapse of structures and structural elements. The first step to achieving this was the study of the structural response, failure, and collapse of individual structural elements. Thus the research in this area is taken further by using numerical solutions to study the behaviour of reinforced concrete beams to the point of failure. The results are implemented into the combined finite-discrete element method through a novel computationally efficient two noded beam element. Numerical integration across the cross section of the beam element is applied to facilitate the application of non-linear constitutive laws for both steel and concrete for the case of multi-axial bending coupled with axial force. The accuracy of this new element is tested and validated under both static and dynamic loading situations using analytical solutions together with experiments undertaken at the University of Alberta and The Swiss Federal Institute of Technology, Zurich. The proposed element has the advantage of reducing the size of the problem by fifty percent through elimination of the rotational degrees of freedom using static condensation. The new element, enables the same finite element mesh to be used for the discretised contact solutions, thus further reducing the CPU time required. When implemented into the combined finite-discrete element method, the proposed numerical solution also takes into account contact-impact and inertia effects.
@incollection{bangash_computationally_2012,
	series = {Proceedings},
	title = {A {Computationally} {Efficient} {Beam} {Element} for {FEM}/{DEMSimulations} of {Structural} {Failure} and {Collapse}},
	isbn = {978-0-7844-0647-2},
	url = {https://ascelibrary.org/doi/10.1061/40647%28259%2924},
	abstract = {The research here presented has employed the newly evolved combined finite-discrete element method in the development of novel numerical solutions for the analysis of failure and collapse of reinforced concrete structures under hazardous loads such as those arising from blast loading. Recent bomb explosions have made engineers more aware of the need to develop efficient computational tools as a viable cost effective means of analysing the failure, fracture and collapse of structures and structural elements. The first step to achieving this was the study of the structural response, failure, and collapse of individual structural elements. Thus the research in this area is taken further by using numerical solutions to study the behaviour of reinforced concrete beams to the point of failure. The results are implemented into the combined finite-discrete element method through a novel computationally efficient two noded beam element. Numerical integration across the cross section of the beam element is applied to facilitate the application of non-linear constitutive laws for both steel and concrete for the case of multi-axial bending coupled with axial force. The accuracy of this new element is tested and validated under both static and dynamic loading situations using analytical solutions together with experiments undertaken at the University of Alberta and The Swiss Federal Institute of Technology, Zurich. The proposed element has the advantage of reducing the size of the problem by fifty percent through elimination of the rotational degrees of freedom using static condensation. The new element, enables the same finite element mesh to be used for the discretised contact solutions, thus further reducing the CPU time required. When implemented into the combined finite-discrete element method, the proposed numerical solution also takes into account contact-impact and inertia effects.},
	urldate = {2025-04-07},
	booktitle = {Discrete {Element} {Methods}},
	author = {Bangash, T. and Munjiza, A.},
	month = apr,
	year = {2012},
	doi = {10.1061/40647(259)24},
	pages = {133--137},
}

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