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

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MAHMOODI M.J.; MAHLOOJI V.

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Journal: JOURNAL OF SIMULATION AND ANALYSIS OF NOVEL TECHNOLOGIES IN MECHANICAL ENGINEERING (JOURNAL OF SOLID MECHANICS IN ENGINEERING) Year:2015 | Volume:8 | Issue:1 Page(s): 13-37

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Title

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

Author(s)

MAHMOODI M.J. | MAHLOOJI V. | Issue Writer Certificate

Keywords

DYNAMIC RELAXATION METHODQ2

FUNCTIONALLY GRADED PLATEQ2

MINDLIN FIRST ORDER SHEAR DEFORMATION THEORYQ2

ELASTIC LARGE DEFORMATIONQ2

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.

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APA: Copy

MAHMOODI, M.J., & 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. SID. https://sid.ir/paper/171470/en

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)[Internet]. 2015;8(1 ):13-37. Available from: https://sid.ir/paper/171470/en

IEEE: Copy

M.J. MAHMOODI, and V. MAHLOOJI, “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), vol. 8, no. 1 , pp. 13–37, 2015, [Online]. Available: https://sid.ir/paper/171470/en

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