MODIFIED FIXED GRID FINITE ELEMENT METHOD TO SOLVE 3D ELASTICITY PROBLEMS OF FUNCTIONALLY GRADED MATERIALS

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KAZEMZADEH PARSI M.J.; DANESHMAND F.

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Journal: JOURNAL OF SIMULATION AND ANALYSIS OF NOVEL TECHNOLOGIES IN MECHANICAL ENGINEERING (JOURNAL OF SOLID MECHANICS IN ENGINEERING) Year:2008 | Volume:1 | Issue:4 Page(s): 1-10

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Title

MODIFIED FIXED GRID FINITE ELEMENT METHOD TO SOLVE 3D ELASTICITY PROBLEMS OF FUNCTIONALLY GRADED MATERIALS

Author(s)

KAZEMZADEH PARSI M.J. | DANESHMAND F. | Issue Writer Certificate

Keywords

MODIFIED FIXED GRID FINITE ELEMENT METHODQ3

NON-BOUNDARY-FITTED MESHESQ3

THREE DIMENSIONAL ELASTICITY ANALYSISQ3

FUNCTIONALLY GRADED MATERIALSQ3

Abstract

In the present paper, applicability of the MODIFIED FIXED GRID FINITE ELEMENT METHOD in solution of three dimensional elasticity problems of FUNCTIONALLY GRADED MATERIALS is investigated. In the NON-BOUNDARY-FITTED MESHES, the elements are not conforming to the domain boundaries and the boundary nodes which are used in the traditional finite element method for the application of boundary conditions no longer exist. Therefore, special techniques are needed for computation of the stiffness matrix of boundary intersecting elements and application of boundary conditions. The stiffness matrix of boundary intersecting elements are calculated via integration of strain energy over the internal parts of these elements. Essential boundary conditions are applied using penalty function method. To examine the effectiveness of the proposed method, some numerical examples are solved and results are compared with those obtained using the standard finite element method.

Cites

MODIFIED FIXED GRID FINITE ELEMENT METHOD TO SOLVE 3D ELASTICITY PROBLEMS OF FUNCTIONALLY GRADED MATERIALS

References

MODIFIED FIXED GRID FINITE ELEMENT METHOD TO SOLVE 3D ELASTICITY PROBLEMS OF FUNCTIONALLY GRADED MATERIALS

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APA: Copy

KAZEMZADEH PARSI, M.J., & DANESHMAND, F.. (2008). MODIFIED FIXED GRID FINITE ELEMENT METHOD TO SOLVE 3D ELASTICITY PROBLEMS OF FUNCTIONALLY GRADED MATERIALS. JOURNAL OF SIMULATION AND ANALYSIS OF NOVEL TECHNOLOGIES IN MECHANICAL ENGINEERING (JOURNAL OF SOLID MECHANICS IN ENGINEERING), 1(4), 1-10. SID. https://sid.ir/paper/171368/en

Vancouver: Copy

KAZEMZADEH PARSI M.J., DANESHMAND F.. MODIFIED FIXED GRID FINITE ELEMENT METHOD TO SOLVE 3D ELASTICITY PROBLEMS OF FUNCTIONALLY GRADED MATERIALS. JOURNAL OF SIMULATION AND ANALYSIS OF NOVEL TECHNOLOGIES IN MECHANICAL ENGINEERING (JOURNAL OF SOLID MECHANICS IN ENGINEERING)[Internet]. 2008;1(4):1-10. Available from: https://sid.ir/paper/171368/en

IEEE: Copy

M.J. KAZEMZADEH PARSI, and F. DANESHMAND, “MODIFIED FIXED GRID FINITE ELEMENT METHOD TO SOLVE 3D ELASTICITY PROBLEMS OF FUNCTIONALLY GRADED MATERIALS,” JOURNAL OF SIMULATION AND ANALYSIS OF NOVEL TECHNOLOGIES IN MECHANICAL ENGINEERING (JOURNAL OF SOLID MECHANICS IN ENGINEERING), vol. 1, no. 4, pp. 1–10, 2008, [Online]. Available: https://sid.ir/paper/171368/en

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