Uniform hydrostatic thermal stress fields inside two interacting inclusions of irregular shape and related problem

By using the technique of conformal mapping, we construct the irregular shapes of two interacting elastic inclusions with internal uniform hydrostatic thermal stresses due to a uniform change in temperature. It is found that the hoop stresses along the two inclusion/matrix interfaces on the matrix s...

Full description

Bibliographic Details
Main Authors: Wang, Xu, Zhou, Kun
Other Authors: School of Mechanical and Aerospace Engineering
Format: Journal Article
Language:English
Published: 2013
Subjects:
Online Access:https://hdl.handle.net/10356/102370
http://hdl.handle.net/10220/16840
_version_ 1811693844710817792
author Wang, Xu
Zhou, Kun
author2 School of Mechanical and Aerospace Engineering
author_facet School of Mechanical and Aerospace Engineering
Wang, Xu
Zhou, Kun
author_sort Wang, Xu
collection NTU
description By using the technique of conformal mapping, we construct the irregular shapes of two interacting elastic inclusions with internal uniform hydrostatic thermal stresses due to a uniform change in temperature. It is found that the hoop stresses along the two inclusion/matrix interfaces on the matrix side are constant. The internal uniform hydrostatic thermal stresses within the two inclusions and the hoop stresses along the two interfaces are independent of the specific inclusion shapes. Numerical results are presented to validate and demonstrate the findings. Furthermore, we design the optimum shapes of the two inclusions that permit internal uniform stresses when uniform anti-plane eigenstrains are imposed on the two inclusions of irregular shape.
first_indexed 2024-10-01T06:58:08Z
format Journal Article
id ntu-10356/102370
institution Nanyang Technological University
language English
last_indexed 2024-10-01T06:58:08Z
publishDate 2013
record_format dspace
spelling ntu-10356/1023702020-03-07T13:22:20Z Uniform hydrostatic thermal stress fields inside two interacting inclusions of irregular shape and related problem Wang, Xu Zhou, Kun School of Mechanical and Aerospace Engineering DRNTU::Engineering::Mechanical engineering By using the technique of conformal mapping, we construct the irregular shapes of two interacting elastic inclusions with internal uniform hydrostatic thermal stresses due to a uniform change in temperature. It is found that the hoop stresses along the two inclusion/matrix interfaces on the matrix side are constant. The internal uniform hydrostatic thermal stresses within the two inclusions and the hoop stresses along the two interfaces are independent of the specific inclusion shapes. Numerical results are presented to validate and demonstrate the findings. Furthermore, we design the optimum shapes of the two inclusions that permit internal uniform stresses when uniform anti-plane eigenstrains are imposed on the two inclusions of irregular shape. 2013-10-24T08:49:29Z 2019-12-06T20:54:01Z 2013-10-24T08:49:29Z 2019-12-06T20:54:01Z 2013 2013 Journal Article Wang, X., & Zhou, K. (2013). Uniform hydrostatic thermal stress fields inside two interacting inclusions of irregular shape and related problem. Mechanics of materials, 66,110-119. 0167-6636 https://hdl.handle.net/10356/102370 http://hdl.handle.net/10220/16840 10.1016/j.mechmat.2013.08.001 en Mechanics of materials
spellingShingle DRNTU::Engineering::Mechanical engineering
Wang, Xu
Zhou, Kun
Uniform hydrostatic thermal stress fields inside two interacting inclusions of irregular shape and related problem
title Uniform hydrostatic thermal stress fields inside two interacting inclusions of irregular shape and related problem
title_full Uniform hydrostatic thermal stress fields inside two interacting inclusions of irregular shape and related problem
title_fullStr Uniform hydrostatic thermal stress fields inside two interacting inclusions of irregular shape and related problem
title_full_unstemmed Uniform hydrostatic thermal stress fields inside two interacting inclusions of irregular shape and related problem
title_short Uniform hydrostatic thermal stress fields inside two interacting inclusions of irregular shape and related problem
title_sort uniform hydrostatic thermal stress fields inside two interacting inclusions of irregular shape and related problem
topic DRNTU::Engineering::Mechanical engineering
url https://hdl.handle.net/10356/102370
http://hdl.handle.net/10220/16840
work_keys_str_mv AT wangxu uniformhydrostaticthermalstressfieldsinsidetwointeractinginclusionsofirregularshapeandrelatedproblem
AT zhoukun uniformhydrostaticthermalstressfieldsinsidetwointeractinginclusionsofirregularshapeandrelatedproblem