Improved estimates for the effective elastic bulk modulus of random tetragonal crystal aggregates

Particular expressions of upper and lower estimates for the macroscopic elastic bulk modulus of random cell tetragonal polycrystalline materials are derived and computed for a number of practical crystals. The cell-shape-unspecified bounds, based on minimum energy principles and generalized polariz...

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Main Authors: Vuong Thi My Hanh, Pham Duc Chinh, Vu Lam Dong
Format: Article
Language:English
Published: Publishing House for Science and Technology 2016-09-01
Series:Vietnam Journal of Mechanics
Subjects:
Online Access:https://vjs.ac.vn/index.php/vjmech/article/view/6055
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author Vuong Thi My Hanh
Pham Duc Chinh
Vu Lam Dong
author_facet Vuong Thi My Hanh
Pham Duc Chinh
Vu Lam Dong
author_sort Vuong Thi My Hanh
collection DOAJ
description Particular expressions of upper and lower estimates for the macroscopic elastic bulk modulus of random cell tetragonal polycrystalline materials are derived and computed for a number of practical crystals. The cell-shape-unspecified bounds, based on minimum energy principles and generalized polarization trial fields, appear close to the simple bounds for specific spherical cell polycrystals.
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2815-5882
language English
publishDate 2016-09-01
publisher Publishing House for Science and Technology
record_format Article
series Vietnam Journal of Mechanics
spelling doaj-art-962cbb22feeb4345a269f9574e08f0172025-08-20T02:10:39ZengPublishing House for Science and TechnologyVietnam Journal of Mechanics0866-71362815-58822016-09-0138310.15625/0866-7136/38/3/6055Improved estimates for the effective elastic bulk modulus of random tetragonal crystal aggregatesVuong Thi My Hanh0Pham Duc Chinh1Vu Lam Dong2Institute of Mechanics, Vietnam Academy of Science and Technology, Hanoi, VietnamInstitute of Mechanics, Vietnam Academy of Science and Technology, Hanoi, VietnamInstitute of Mechanics, Vietnam Academy of Science and Technology, Hanoi, Vietnam Particular expressions of upper and lower estimates for the macroscopic elastic bulk modulus of random cell tetragonal polycrystalline materials are derived and computed for a number of practical crystals. The cell-shape-unspecified bounds, based on minimum energy principles and generalized polarization trial fields, appear close to the simple bounds for specific spherical cell polycrystals. https://vjs.ac.vn/index.php/vjmech/article/view/6055Variational boundseffective elastic bulk modulusrandom cell polycrystaltetragonal crystal
spellingShingle Vuong Thi My Hanh
Pham Duc Chinh
Vu Lam Dong
Improved estimates for the effective elastic bulk modulus of random tetragonal crystal aggregates
Vietnam Journal of Mechanics
Variational bounds
effective elastic bulk modulus
random cell polycrystal
tetragonal crystal
title Improved estimates for the effective elastic bulk modulus of random tetragonal crystal aggregates
title_full Improved estimates for the effective elastic bulk modulus of random tetragonal crystal aggregates
title_fullStr Improved estimates for the effective elastic bulk modulus of random tetragonal crystal aggregates
title_full_unstemmed Improved estimates for the effective elastic bulk modulus of random tetragonal crystal aggregates
title_short Improved estimates for the effective elastic bulk modulus of random tetragonal crystal aggregates
title_sort improved estimates for the effective elastic bulk modulus of random tetragonal crystal aggregates
topic Variational bounds
effective elastic bulk modulus
random cell polycrystal
tetragonal crystal
url https://vjs.ac.vn/index.php/vjmech/article/view/6055
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AT phamducchinh improvedestimatesfortheeffectiveelasticbulkmodulusofrandomtetragonalcrystalaggregates
AT vulamdong improvedestimatesfortheeffectiveelasticbulkmodulusofrandomtetragonalcrystalaggregates