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Effective elastic moduli of triangular lattice material with defects
Liu XY(刘晓宇); Liang NG(梁乃刚); Liu, XY; Chinese Acad Sci, Inst Mech, 15 Beisihuanxi Rd, Beijing 100190, Peoples R China.
Source PublicationJOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS
2012-10-01
Volume60Issue:10Pages:1722-1739
ISSN0022-5096
AbstractThis paper presents an attempt to extend homogenization analysis for the effective elastic moduli of triangular lattice materials with microstructural defects. The proposed homogenization method adopts a process based on homogeneous strain boundary conditions, the micro-scale constitutive law and the micro-to-macro static operator to establish the relationship between the macroscopic properties of a given lattice material to its micro-discrete behaviors and structures. Further, the idea behind Eshelby's equivalent eigenstrain principle is introduced to replace a defect distribution by an imagining displacement field (eigendisplacement) with the equivalent mechanical effect, and the triangular lattice Green's function technique is developed to solve the eigendisplacement field. The proposed method therefore allows handling of different types of microstructural defects as well as its arbitrary spatial distribution within a general and compact framework. Analytical closed-form estimations are derived, in the case of the dilute limit, for all the effective elastic moduli of stretch-dominated triangular lattices containing fractured cell walls and missing cells, respectively. Comparison with numerical results, the Hashin-Shtrikman upper bounds and uniform strain upper bounds are also presented to illustrate the predictive capability of the proposed method for lattice materials. Based on this work, we propose that not only the effective Young's and shear moduli but also the effective Poisson's ratio of triangular lattice materials depend on the number density of fractured cell walls and their spatial arrangements.
KeywordLattice Material Defect Effect Micromechanics Green's Function Elastic Moduli Cellular Solids Granular-materials Inplane Properties Honeycombs Strength Behavior Homogenization Inclusions Holes
Subject Area本构关系
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Indexed BySCI ; EI
Language英语
WOS IDWOS:000307694800003
Funding OrganizationThe authors are grateful for the financial support of the State Key Program of Basic Research of China (2010CB731503).
DepartmentLMFS工程地质体力学(LEM)
Classification一类
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Cited Times:11[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://dspace.imech.ac.cn/handle/311007/46650
Collection流固耦合系统力学重点实验室
Corresponding AuthorLiu, XY; Chinese Acad Sci, Inst Mech, 15 Beisihuanxi Rd, Beijing 100190, Peoples R China.
Recommended Citation
GB/T 7714
Liu XY,Liang NG,Liu, XY,et al. Effective elastic moduli of triangular lattice material with defects[J]. JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS,2012,60(10):1722-1739.
APA 刘晓宇,梁乃刚,Liu, XY,&Chinese Acad Sci, Inst Mech, 15 Beisihuanxi Rd, Beijing 100190, Peoples R China..(2012).Effective elastic moduli of triangular lattice material with defects.JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS,60(10),1722-1739.
MLA 刘晓宇,et al."Effective elastic moduli of triangular lattice material with defects".JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS 60.10(2012):1722-1739.
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