DOI: 10.1016/j.compstruc.2006.02.013. New solution method for homogenization analysis and its application to the prediction of macroscopic elastic constants of materials with periodic microstructures

New solution method for homogenization analysis and its application to the prediction of macroscopic elastic constants of materials with periodic microstructures

10.1016/j.compstruc.2006.02.013

Crossref journal-article

Elsevier BV

Computers & Structures (78)

Bibliography

Wang, W.-X., Luo, D., Takao, Y., & Kakimoto, K. (2006). New solution method for homogenization analysis and its application to the prediction of macroscopic elastic constants of materials with periodic microstructures. Computers & Structures, 84(15â16), 991â1001.

Authors 4

Wen-Xue Wang (first)
Dongmei Luo (additional)
Yoshihiro Takao (additional)
Koichi Kakimoto (additional)

References 22 Referenced 26

10.1177/002199836900300419 / J Compos Mater / Stiffness and expansion estimates for oriented short fiber composites by Halpin (1969)
10.1002/pen.760160512 / Polym Eng Sci / The Halpin–Tsai equations: a review by Halpin (1976)
{'key': '10.1016/j.compstruc.2006.02.013_bib3', 'series-title': 'Primer on composite materials', 'author': 'Halpin', 'year': '1992'} / Primer on composite materials by Halpin (1992)
{'key': '10.1016/j.compstruc.2006.02.013_bib4', 'first-page': '1', 'article-title': 'The elastic properties of fiber reinforced materials when the fibers are aligned', 'volume': '65', 'author': 'Hermans', 'year': '1967', 'journal-title': 'Proc Kon Ned Akad v Wetensch B'} / Proc Kon Ned Akad v Wetensch B / The elastic properties of fiber reinforced materials when the fibers are aligned by Hermans (1967)
10.1016/0022-5096(64)90019-5 / J Mech Phys Solids / Theory of mechanical properties of fiber-strengthened materials: I Elastic behaviour by Hill (1964)
10.1016/0001-6160(73)90064-3 / Acta Metall / Average stress in matrix and average elastic energy of materials with misfitting inclusions by Mori (1973)
10.1016/0020-7225(84)90033-8 / Int J Eng Sci / Some elastic properties of reinforced solids, with special reference to isotropic ones containing spherical inclusions by Weng (1984)
10.1002/pc.750050413 / Polym Compos / The effect of aspect ratio of inclusions on the elastic properties of undirectionally aligned composites by Tandon (1984)
10.1016/0022-5096(63)90036-X / J Mech Phys Solids / Elastic properties of reinforced solids: Some theoretical principles by Hill (1963)
{'key': '10.1016/j.compstruc.2006.02.013_bib10', 'series-title': 'Mechanics of composite materials', 'author': 'Christensen', 'year': '1979'} / Mechanics of composite materials by Christensen (1979)
{'key': '10.1016/j.compstruc.2006.02.013_bib11', 'series-title': 'Micromechanics of defects in solids', 'author': 'Mura', 'year': '1987'} / Micromechanics of defects in solids by Mura (1987)
{'key': '10.1016/j.compstruc.2006.02.013_bib12', 'series-title': 'Micromechanics: overall properties of heterogeneous materials', 'author': 'Nemat-Nasser', 'year': '1993'} / Micromechanics: overall properties of heterogeneous materials by Nemat-Nasser (1993)
10.1115/1.3152428 / Appl Mech Rev / Micromechanics analysis of composites by the method of cells by Aboudi (1989)
{'key': '10.1016/j.compstruc.2006.02.013_bib14', 'series-title': 'Asymptotic analysis for periodic structures', 'author': 'Benssousan', 'year': '1978'} / Asymptotic analysis for periodic structures by Benssousan (1978)
{'key': '10.1016/j.compstruc.2006.02.013_bib15', 'article-title': 'Non-homogeneous media and vibration theory', 'volume': 'vol. 127', 'author': 'Scanchez-Palencia', 'year': '1980'} / Non-homogeneous media and vibration theory by Scanchez-Palencia (1980)
{'key': '10.1016/j.compstruc.2006.02.013_bib16', 'series-title': 'Homogenization in periodic media, mathematical problems of the mechanics of composite materials', 'author': 'Bakhvalov', 'year': '1984'} / Homogenization in periodic media, mathematical problems of the mechanics of composite materials by Bakhvalov (1984)
10.1016/0045-7825(88)90086-2 / Comput Meth Appl Mech Eng / Generating optimal topologies in structural design using a homogenization method by Bendsoe (1988)
10.1016/0045-7825(90)90148-F / Comput Methods Appl Mech Eng / Preprocessing and postprocessing for materials based on the homogenization method with adaptive finite element methods by Guedes (1990)
10.1016/S0045-7949(98)00131-X / Comput Struct / A review of homogenization and topology optimization I-homogenization theory for media with periodic structure by Hassani (1998)
10.1016/S0020-7683(03)00024-6 / Int J Solids Struct / A unified periodical boundary conditions for representative volume elements of composites and applications by Xia (2003)
10.1016/0020-7683(92)90065-2 / Int J Solids Struct / Homogenized nonlinear constitutive properties and local stress concentrations for composites with periodic internal structure by Jansson (1992)
10.1016/S0045-7949(98)00132-1 / Comput Struct / A review of homogenization and topology optimization II-analytical and numerical solution of homogenization equations by Hassani (1998)

Dates

Type	When
Created	19 years, 4 months ago (April 18, 2006, 3:18 p.m.)
Deposited	6 years, 4 months ago (April 17, 2019, 10:36 p.m.)
Indexed	1 year, 1 month ago (July 9, 2024, 8:51 p.m.)
Issued	19 years, 3 months ago (June 1, 2006)
Published	19 years, 3 months ago (June 1, 2006)
Published Print	19 years, 3 months ago (June 1, 2006)

Funders 0

None

BibTeX

@article{Wang_2006, title={New solution method for homogenization analysis and its application to the prediction of macroscopic elastic constants of materials with periodic microstructures}, volume={84}, ISSN={0045-7949}, url={http://dx.doi.org/10.1016/j.compstruc.2006.02.013}, DOI={10.1016/j.compstruc.2006.02.013}, number={15–16}, journal={Computers & Structures}, publisher={Elsevier BV}, author={Wang, Wen-Xue and Luo, Dongmei and Takao, Yoshihiro and Kakimoto, Koichi}, year={2006}, month=jun, pages={991–1001} }

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