Abstract
AbstractBased on the assumed element strain fields and the interrelated displacement‐rotation interpolations, a four‐node (12 dof) quadrilateral C0 finite element, designated as QCCP‐2, for the analysis of thick/thin plates is developed in this paper. The four‐node C0 plate element presented here possesses a linear bending strain field, and the element stiffness matrices are given explicitly. Therefore, the present four‐node C0 plate element is more efficient and accurate than the existing four‐node C0 plate elements where the constant strain stiffness matrices are obtained by numerical integration. By the use of the interrelated displacement‐rotation interpolations, QCCP‐2 is capable of automatically satisfying the Kirchhoff assumption for the case of thin plates. Consequently, QCCP‐2 is not only free of shear locking, but also free from the numerical ill‐conditioning. Furthermore, QCCP‐2 passes the patch test of thin plates. The four‐node quadrilateral C0 elements presented here can automatically reduce to the corresponding three‐node triangular elements. Several numerical examples are given to demonstrate the efficiency and accuracy of the C0 plate bending element QCCP‐2.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callMore From: International Journal for Numerical Methods in Engineering
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
