NDLI: Special properties of Eshelby tensor for a regular polygonal inclusion

Content Provider	Springer Nature Link
Author	Xu, Baixiang Wang, Minzhong
Copyright Year	2005
Abstract	When studying the regular polygonal inclusion in 1997, Nozaki and Taya discovered numerically some remarkable properties of Eshelby tensor: Eshelby tensor at the center and the averaged Eshelby tensor over the inclusion domain are equal to that of a circular inclusion and independent of the orientation of the inclusion. Then Kawashita and Nozaki justified the properties mathematically. In the present paper, some other properties of a regular polygonal inclusion are discovered. We find that for an N-fold regular polygonal inclusion except for a square, the arithmetic mean of Eshelby tensors at N rotational symmetrical points in the inclusion is also equal to the Eshelby tensor for a circular inclusion and independent of the orientation of the inclusion. Furthermore, in two corollaries, we point out that Eshelby tensor at the center, the averaged Eshelby tensor over the inclusion domain, and the line integral average of Eshelby tensors along any concentric circle of the inclusion are all identical with the arithmetic mean.
Starting Page	267
Ending Page	271
Page Count	5
File Format	PDF
ISSN	05677718
Journal	Acta Mechanica Sinica
Volume Number	21
Issue Number	3
e-ISSN	16143116
Language	English
Publisher	Springer-Verlag
Publisher Date	2005-05-20
Publisher Place	Berlin, Heidelberg
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Eshelby tensor Regular polygonal inclusion Arithmetic mean Center of regular polygon Average Mechanics, Fluids, Thermodynamics Numerical and Computational Methods in Engineering Theoretical and Applied Mechanics Engineering Fluid Dynamics
Content Type	Text
Resource Type	Article
Subject	Mechanical Engineering Computational Mechanics

Sl.	Authority	Responsibilities	Communication Details
1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
2	Indian Institute of Technology Kharagpur	Host Institute of the Project: The host institute of the project is responsible for providing infrastructure support and hosting the project	https://www.iitkgp.ac.in
3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
5	Website/Portal (Helpdesk)	Queries regarding NDLI and its services	support@ndl.gov.in
6	Contents and Copyright Issues	Queries related to content curation and copyright issues	content@ndl.gov.in
7	National Digital Library of India Club (NDLI Club)	Queries related to NDLI Club formation, support, user awareness program, seminar/symposium, collaboration, social media, promotion, and outreach	clubsupport@ndl.gov.in
8	Digital Preservation Centre (DPC)	Assistance with digitizing and archiving copyright-free printed books	dpc@ndl.gov.in
9	IDR Setup or Support	Queries related to establishment and support of Institutional Digital Repository (IDR) and IDR workshops	idr@ndl.gov.in

The Arithmetic Mean Theorem of Eshelby Tensor for a Rotational Symmetrical Inclusion

A microstructure-based analysis of cyclic plasticity of pearlitic steels with Hill’s self-consistent scheme incorporating general anisotropic Eshelby tensor

The effective properties of piezocomposites, part I: Single inclusion problem

Mechanical properties of lattice grid composites

Dyadic method for tensor functions

Error Correction

Error Correction

Error Correction

A discussion about scale invariants for tensor functions

Special properties of Eshelby tensor for a regular polygonal inclusion

Similar Documents

The Arithmetic Mean Theorem of Eshelby Tensor for a Rotational Symmetrical Inclusion

A microstructure-based analysis of cyclic plasticity of pearlitic steels with Hill’s self-consistent scheme incorporating general anisotropic Eshelby tensor

The effective properties of piezocomposites, part I: Single inclusion problem

Mechanical properties of lattice grid composites

Dyadic method for tensor functions

Error Correction

Error Correction

Error Correction

A discussion about scale invariants for tensor functions

Special properties of Eshelby tensor for a regular polygonal inclusion