Paper Information

Journal:   CIVIL ENGINEERING INFRASTRUCTURES JOURNAL (CEIJ) (JOURNAL OF FACULTY OF ENGINEERING)   JUNE 2015 , Volume 48 , Number 1; Page(s) 133 To 156.
 
Paper: 

TWO NEW QUADRILATERAL ELEMENTS BASED ON STRAIN STATES

 
 
Author(s):  REZAIEE PAJAND M.*, YAGHOOBI M.
 
* CIVIL ENGINEERING DEPARTMENT, FERDOWSI UNIVERSITY OF MASHHAD, MASHHAD, IRAN
 
Abstract: 

In this paper, two new quadrilateral elements are formulated to solve plane problems. Low sensitivity to geometric distortion, no parasitic shear error, rotational invariance, and satisfying the Felippa pure bending test are characteristics of these suggested elements. One proposed element is formulated by establishing equilibrium equations for the second-order strain field. The other suggested element is obtained by establishing equilibrium equations only for the linear part of the strain field. The number of the strain states decreases when the conditions among strain states are satisfied. Several numerical tests are used to demonstrate the performance of the proposed elements. Famous elements, which were suggested by other researchers, are used as a means of comparison. It is shown that these novel elements pass the strong patch tests, even for extremely poor meshes, and one of them has an excellent accuracy and fast convergence in other complicated problems.

 
Keyword(s): EQUILIBRIUM CONDITIONS, OPTIMIZATION CRITERIA, PLANE PROBLEMS, QUADRILATERAL ELEMENTS, STRAIN STATES
 
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