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Paper Information

Journal:   JOURNAL OF SIMULATION AND ANALYSIS OF NOVEL TECHNOLOGIES IN MECHANICAL ENGINEERING (JOURNAL OF SOLID MECHANICS IN ENGINEERING)   SPRING 2015 , Volume 8 , Number 1 ; Page(s) 13 To 37.
 
Paper: 

NON-LINEAR STATIC MODELING OF MODERATELY THICK FUNCTIONALLY GRADED PLATE USING DYNAMIC RELAXATION METHOD

 
 
Author(s):  MAHMOODI M.J., MAHLOOJI V.
 
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Abstract: 

In this paper, nonlinear static analysis of moderately thick plate made of functionally graded materials subjected to mechanical transverse loading is carried out using dynamic relaxation method. Mindlin first order shear deformation theory is employed to consider thick plate. Discretized equations are extracted for geometrically nonlinear behavior analysis. Loading Conditions and boundary conditions of the plate are uniformly distributed transverse load and simply supported at the four edges of the thick plate, respectively. In order to generalize the obtained results, the equations are solved by applying dynamic relaxation method based on central finite deference discretization in the non-dimensional form. The effects of problem parameters such as gradient constant of the functionally graded material and the side to thickness ratio of plate on the results are investigated. According to the obtained results, the need of including elastic large deflection and applying the theory which considers the effects of plate thickness on the plate bending response and also finally the need of employing dynamic relaxation solution method despite the non-linear terms resulted from large deflection of the functionally graded thick plate are discussed.

 
Keyword(s): DYNAMIC RELAXATION METHOD, FUNCTIONALLY GRADED PLATE, MINDLIN FIRST ORDER SHEAR DEFORMATION THEORY, ELASTIC LARGE DEFORMATION
 
 
References: 
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Click to Cite.
APA: Copy

MAHMOODI, M., & MAHLOOJI, V. (2015). NON-LINEAR STATIC MODELING OF MODERATELY THICK FUNCTIONALLY GRADED PLATE USING DYNAMIC RELAXATION METHOD. JOURNAL OF SIMULATION AND ANALYSIS OF NOVEL TECHNOLOGIES IN MECHANICAL ENGINEERING (JOURNAL OF SOLID MECHANICS IN ENGINEERING), 8(1 ), 13-37. https://www.sid.ir/en/journal/ViewPaper.aspx?id=568645



Vancouver: Copy

MAHMOODI M.J., MAHLOOJI V.. NON-LINEAR STATIC MODELING OF MODERATELY THICK FUNCTIONALLY GRADED PLATE USING DYNAMIC RELAXATION METHOD. JOURNAL OF SIMULATION AND ANALYSIS OF NOVEL TECHNOLOGIES IN MECHANICAL ENGINEERING (JOURNAL OF SOLID MECHANICS IN ENGINEERING). 2015 [cited 2021May09];8(1 ):13-37. Available from: https://www.sid.ir/en/journal/ViewPaper.aspx?id=568645



IEEE: Copy

MAHMOODI, M., MAHLOOJI, V., 2015. NON-LINEAR STATIC MODELING OF MODERATELY THICK FUNCTIONALLY GRADED PLATE USING DYNAMIC RELAXATION METHOD. JOURNAL OF SIMULATION AND ANALYSIS OF NOVEL TECHNOLOGIES IN MECHANICAL ENGINEERING (JOURNAL OF SOLID MECHANICS IN ENGINEERING), [online] 8(1 ), pp.13-37. Available: https://www.sid.ir/en/journal/ViewPaper.aspx?id=568645.



 
 
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