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Homogenization in linear and non-lin...
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ProQuest Information and Learning Co.
Homogenization in linear and non-linear elasticity.
紀錄類型:
書目-語言資料,手稿 : Monograph/item
正題名/作者:
Homogenization in linear and non-linear elasticity./
作者:
Temizer, Ilker.
面頁冊數:
1 online resource (162 pages)
附註:
Source: Dissertation Abstracts International, Volume: 67-04, Section: B, page: 2197.
Contained By:
Dissertation Abstracts International67-04B.
標題:
Mechanical engineering. -
電子資源:
click for full text (PQDT)
ISBN:
9780542619793
Homogenization in linear and non-linear elasticity.
Temizer, Ilker.
Homogenization in linear and non-linear elasticity.
- 1 online resource (162 pages)
Source: Dissertation Abstracts International, Volume: 67-04, Section: B, page: 2197.
Thesis (Ph.D.)
Includes bibliographical references
In this work, homogenization of heterogeneous materials in the context of elasticity is addressed, where the effective constitutive behavior of a heterogeneous material is sought. Both linear and non-linear elastic regimes are considered. Central to the homogenization process is the identification of a statistically representative volume element (RVE) for the heterogeneous material. In the linear regime, aspects of this identification have been investigated where effects of material properties, boundary conditions, test sample size, volume fraction and morphology of heterogeneities were considered. The numerical scheme used to identify the RVE size is then extended to the non-linear regime by introducing stress-strain state characterization parameters. Next, the concept of a material map, where one identifies the constitutive behavior of a material in a discrete sense, is discussed together with its implementation in the finite element method. The homogenization of the non-linearly elastic heterogeneous material is then realized through the computation of its effective material map using a numerically identified RVE.
Electronic reproduction.
Ann Arbor, Mich. :
ProQuest,
2018
Mode of access: World Wide Web
ISBN: 9780542619793Subjects--Topical Terms:
557493
Mechanical engineering.
Index Terms--Genre/Form:
554714
Electronic books.
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Source: Dissertation Abstracts International, Volume: 67-04, Section: B, page: 2197.
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In this work, homogenization of heterogeneous materials in the context of elasticity is addressed, where the effective constitutive behavior of a heterogeneous material is sought. Both linear and non-linear elastic regimes are considered. Central to the homogenization process is the identification of a statistically representative volume element (RVE) for the heterogeneous material. In the linear regime, aspects of this identification have been investigated where effects of material properties, boundary conditions, test sample size, volume fraction and morphology of heterogeneities were considered. The numerical scheme used to identify the RVE size is then extended to the non-linear regime by introducing stress-strain state characterization parameters. Next, the concept of a material map, where one identifies the constitutive behavior of a material in a discrete sense, is discussed together with its implementation in the finite element method. The homogenization of the non-linearly elastic heterogeneous material is then realized through the computation of its effective material map using a numerically identified RVE.
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ProQuest,
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click for full text (PQDT)
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