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Engineering with Computers

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07-05-2019 | Original Article

Formulation and evaluation of a new four-node quadrilateral element for analysis of the shell structures

Authors: Hosein Sangtarash, Hamed Ghohani Arab, Mohammad Reza Sohrabi, Mohammad Reza Ghasemi

Published in: Engineering with Computers | Issue 4/2020

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Abstract

Shell structures are lightweight constructions which are extensively used by engineering. Due to this reason presenting an appropriate shell element for analysis of these structures has become an interesting issue in recent decades. This study presents a new rectangular flat shell element called ACM-SQ4 obtained by combining bending and membrane elements. The bending element is a well-known plate bending element called ACM which is based on the classical thin-plate theory and the membrane element is an unsymmetric quadrilateral element called US-Q4θ, the test function of this element is improved by the Allman-type drilling DOFs and a rational stress field is used as the element’s trial function. Finally, some numerical benchmark problems are used to evaluate the performance of the proposed flat shell element. The obtained results show that despite its simple formulation, the proposed element has reasonable accuracy and acceptable convergence in comparison with other shell elements.

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Title: Formulation and evaluation of a new four-node quadrilateral element for analysis of the shell structures
Authors: Hosein Sangtarash
Hamed Ghohani Arab
Mohammad Reza Sohrabi
Mohammad Reza Ghasemi
Publication date: 07-05-2019
Publisher: Springer London
Published in: Engineering with Computers / Issue 4/2020
Print ISSN: 0177-0667
Electronic ISSN: 1435-5663
DOI: https://doi.org/10.1007/s00366-019-00763-8

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