Stress–strain analysis of the antiplane shear problem for an infinite cylindrical inclusion with eigenstrain: an addendum to Arch. Appl. Mech. 2018

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@article{071f72bfc2124d429e06afa4dbf03e7b,
title = "Stress–strain analysis of the antiplane shear problem for an infinite cylindrical inclusion with eigenstrain: an addendum to Arch. Appl. Mech. 2018",
abstract = "As outlined in the previous paper, an eigenstrain state due to an interstitial atom, acting as misfitting inclusion in the crystal lattice, may interact with a load stress state and/or a stress state due to a defect. Since the interstitial atoms can be assembled in a cylinder, as in the established case of a so-called Cottrell cloud, the according stress state can be investigated by a cylindrical inclusion with a general eigenstrain state. Both eigenstrain components belonging to the antiplane shear, however, were not dealt with in the past. According stress and deformation equations are now offered in analytical form in this addendum.",
keywords = "Analytical solution, Antiplane Shear Problem, Inclusions, Micro-mechanics",
author = "Franz-Dieter Fischer and Zickler, {Gerald A.} and Jiri Svoboda",
note = "Publisher Copyright: {\textcopyright} 2018, The Author(s).",
year = "2018",
month = apr,
day = "2",
doi = "10.1007/s00419-018-1367-9",
language = "English",
volume = "88.2018",
pages = "1209--1211",
journal = "Archive of applied mechanics",
issn = "0939-1533",
publisher = "Springer Berlin",
number = "7",

}

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TY - JOUR

T1 - Stress–strain analysis of the antiplane shear problem for an infinite cylindrical inclusion with eigenstrain

T2 - an addendum to Arch. Appl. Mech. 2018

AU - Fischer, Franz-Dieter

AU - Zickler, Gerald A.

AU - Svoboda, Jiri

N1 - Publisher Copyright: © 2018, The Author(s).

PY - 2018/4/2

Y1 - 2018/4/2

N2 - As outlined in the previous paper, an eigenstrain state due to an interstitial atom, acting as misfitting inclusion in the crystal lattice, may interact with a load stress state and/or a stress state due to a defect. Since the interstitial atoms can be assembled in a cylinder, as in the established case of a so-called Cottrell cloud, the according stress state can be investigated by a cylindrical inclusion with a general eigenstrain state. Both eigenstrain components belonging to the antiplane shear, however, were not dealt with in the past. According stress and deformation equations are now offered in analytical form in this addendum.

AB - As outlined in the previous paper, an eigenstrain state due to an interstitial atom, acting as misfitting inclusion in the crystal lattice, may interact with a load stress state and/or a stress state due to a defect. Since the interstitial atoms can be assembled in a cylinder, as in the established case of a so-called Cottrell cloud, the according stress state can be investigated by a cylindrical inclusion with a general eigenstrain state. Both eigenstrain components belonging to the antiplane shear, however, were not dealt with in the past. According stress and deformation equations are now offered in analytical form in this addendum.

KW - Analytical solution

KW - Antiplane Shear Problem

KW - Inclusions

KW - Micro-mechanics

UR - http://www.scopus.com/inward/record.url?scp=85044783851&partnerID=8YFLogxK

U2 - 10.1007/s00419-018-1367-9

DO - 10.1007/s00419-018-1367-9

M3 - Article

AN - SCOPUS:85044783851

VL - 88.2018

SP - 1209

EP - 1211

JO - Archive of applied mechanics

JF - Archive of applied mechanics

SN - 0939-1533

IS - 7

ER -