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Paper Information

Journal:   CIVIL ENGINEERING INFRASTRUCTURES JOURNAL (CEIJ) (JOURNAL OF FACULTY OF ENGINEERING)   JUNE 2016 , Volume 49 , Number 1; Page(s) 71 To 96.
 
Paper: 

THREE-DIMENSIONAL INTERFACIAL GREEN’S FUNCTION FOR EXPONENTIALLY GRADED TRANSVERSELY ISOTROPIC BI-MATERIALS

 
 
Author(s):  AKBARI F., KHOJASTEH A., RAHIMIAN M.*
 
* SCHOOL OF ENGINEERING SCIENCE, COLLEGE OF ENGINEERING, UNIVERSITY OF TEHRAN, TEHRAN, IRAN
 
Abstract: 

By virtue of a complete set of two displacement potentials, an analytical derivation of the elastostatic Green’s functions of an exponentially graded transversely isotropic bi-material full-space was presented. Three-dimensional point-load Green’s functions for stresses and displacements were given in line-integral representations. The formulation included a complete set of transformed stress-potential and displacement-potential relations, with the utilization of Fourier series and Hankel transform. As illustrations, the present Green’s functions were analytically degenerated into special cases, such as exponentially graded half-space and homogeneous full-space bi-material Green’s functions. Owing to the complicated integrand functions, the integrals were evaluated numerically, and in computing the integrals numerically, a robust and effective methodology was laid out which provided the necessary account of the presence of singularities of integration. Some typical numerical examples were also illustrated to demonstrate the general features of the exponentially graded bi-material Green’s functions which will be recognized by the effect of degree of variation of material properties.

 
Keyword(s): BI-MATERIAL, DISPLACEMENT POTENTIAL, EXPONENTIALLY GRADED, FUNCTIONALLY GRADED MATERIAL, GREEN’S FUNCTION, TRANSVERSELY ISOTROPIC
 
 
References: 
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Click to Cite.
APA: Copy

AKBARI, F., & KHOJASTEH, A., & RAHIMIAN, M. (2016). THREE-DIMENSIONAL INTERFACIAL GREEN’S FUNCTION FOR EXPONENTIALLY GRADED TRANSVERSELY ISOTROPIC BI-MATERIALS. CIVIL ENGINEERING INFRASTRUCTURES JOURNAL (CEIJ) (JOURNAL OF FACULTY OF ENGINEERING), 49(1), 71-96. https://www.sid.ir/en/journal/ViewPaper.aspx?id=507966



Vancouver: Copy

AKBARI F., KHOJASTEH A., RAHIMIAN M.. THREE-DIMENSIONAL INTERFACIAL GREEN’S FUNCTION FOR EXPONENTIALLY GRADED TRANSVERSELY ISOTROPIC BI-MATERIALS. CIVIL ENGINEERING INFRASTRUCTURES JOURNAL (CEIJ) (JOURNAL OF FACULTY OF ENGINEERING). 2016 [cited 2021May13];49(1):71-96. Available from: https://www.sid.ir/en/journal/ViewPaper.aspx?id=507966



IEEE: Copy

AKBARI, F., KHOJASTEH, A., RAHIMIAN, M., 2016. THREE-DIMENSIONAL INTERFACIAL GREEN’S FUNCTION FOR EXPONENTIALLY GRADED TRANSVERSELY ISOTROPIC BI-MATERIALS. CIVIL ENGINEERING INFRASTRUCTURES JOURNAL (CEIJ) (JOURNAL OF FACULTY OF ENGINEERING), [online] 49(1), pp.71-96. Available: https://www.sid.ir/en/journal/ViewPaper.aspx?id=507966.



 
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