COMPLEMENTARY INTEGRAL METHOD FOR ENFORCING THE ESSENTIAL BOUNDARY CONDITIONS IN THE EFG METHOD AND ITS APPLICATION IN STATIC AND DYNAMIC PROBLEMS

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DANESHMAND F.; KAZEMZADEH PARSI M.J.

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Journal: MODARES TECHNICAL AND ENGINEERING Year:2006 | Volume:- | Issue:24 (SPECIAL ISSUE ON MECHANICAL ENGINEERING) Page(s): 61-78

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Title

COMPLEMENTARY INTEGRAL METHOD FOR ENFORCING THE ESSENTIAL BOUNDARY CONDITIONS IN THE EFG METHOD AND ITS APPLICATION IN STATIC AND DYNAMIC PROBLEMS

Author(s)

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

Keywords

ELEMENT FREE GALERKIN (EFG) METHODQ4

ESSENTIAL BOUNDARY CONDITIONSQ4

COMPLEMENTARY INTEGRAL METHODQ4

Abstract

The element free Galerkin (EFG) method, which is based on the moving least square (MLS) approximation, requires only nodal data and no element connectivity. These features make the method more flexible than the conventional FEM. Nevertheless, direct imposition of the ESSENTIAL BOUNDARY CONDITIONS in the EFG method is always difficult because the shape functions obtained from the MLS approximation do not have the Kronocker-delta property.A new method named "the COMPLEMENTARY INTEGRAL METHOD" is proposed here to overcome this difficulty. The presented method is more consistent with the variational basis of the EFG method. Several numerical examples are used to illustrate the implementation and performance of the method.The numerical examples including the Poisson's equation and 2D static and dynamic elasticity problems show that the method converges fast with reasonably accurate result for both the unknown variables and its derivatives.

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APA: Copy

DANESHMAND, F., & KAZEMZADEH PARSI, M.J.. (2006). COMPLEMENTARY INTEGRAL METHOD FOR ENFORCING THE ESSENTIAL BOUNDARY CONDITIONS IN THE EFG METHOD AND ITS APPLICATION IN STATIC AND DYNAMIC PROBLEMS. MODARES TECHNICAL AND ENGINEERING, -(24 (SPECIAL ISSUE ON MECHANICAL ENGINEERING)), 61-78. SID. https://sid.ir/paper/381200/en

Vancouver: Copy

DANESHMAND F., KAZEMZADEH PARSI M.J.. COMPLEMENTARY INTEGRAL METHOD FOR ENFORCING THE ESSENTIAL BOUNDARY CONDITIONS IN THE EFG METHOD AND ITS APPLICATION IN STATIC AND DYNAMIC PROBLEMS. MODARES TECHNICAL AND ENGINEERING[Internet]. 2006;-(24 (SPECIAL ISSUE ON MECHANICAL ENGINEERING)):61-78. Available from: https://sid.ir/paper/381200/en

IEEE: Copy

F. DANESHMAND, and M.J. KAZEMZADEH PARSI, “COMPLEMENTARY INTEGRAL METHOD FOR ENFORCING THE ESSENTIAL BOUNDARY CONDITIONS IN THE EFG METHOD AND ITS APPLICATION IN STATIC AND DYNAMIC PROBLEMS,” MODARES TECHNICAL AND ENGINEERING, vol. -, no. 24 (SPECIAL ISSUE ON MECHANICAL ENGINEERING), pp. 61–78, 2006, [Online]. Available: https://sid.ir/paper/381200/en

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