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Size effect investigation of indentation response of stifffilm/compliant substrate composite structure
Liu, YW1; Ma HS(马寒松)2; Wei YG(魏悦广)1; Chen, P1
Corresponding AuthorWei, Yueguang(weiyg@pku.edu.cn)
Source PublicationINTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES
2020-06-01
Volume193Pages:106-116
ISSN0020-7683
AbstractThe stifffilm/compliant substrate composite structure with a high modulus ratio finds a wide range of applications in production and in scientific research, and its indentation behavior cannot be described by the traditional theory when the film thickness is reduced from the millimeter scale to the micrometer or nanometer scale. In order to better understand the trans-scale indentation response of the composite structure caused by the reduction in the film thickness, this problem is solved analytically with the strain gradient theory and integral transformation. The gradient effect on the indentation response of the system is assessed in detailed from three aspects: load-displacement relationship, surface topography and distribution of bending moment on the film. In addition, the influences of film thickness, modulus ratio of the film to the substrate, contact radius and Poisson's ratio on the gradient effect are investigated. It is found that the gradient effect on the indentation response of the system, which is not sensitive to the contact radius and Poisson's ratio, is related not only to the film thickness but also to the modulus ratio of the film to the substrate. Based on the above analysis, a dimensionless number (g/l) is proposed to evaluate the gradient effect on the indentation behaviors of the system. And with the help of the dimensionless number, a new simple and accurate method for measuring the material length scale is proposed. Our research provides a theoretical basis for an in-depth understanding of the gradient effects on the indentation response of the stifffilm/compliant substrate system and for the measurement of the material length scale. (C) 2020 Elsevier Ltd. All rights reserved.
KeywordStifffilm/compliant substrate composite structure Indentation response Gradient effect Integral transformation Material length scale
DOI10.1016/j.ijsolstr.2020.02.016
Indexed BySCI ; EI
Language英语
WOS IDWOS:000535723400010
WOS KeywordSTRAIN GRADIENT PLASTICITY ; MECHANICAL-PROPERTIES ; THIN-FILM ; COATINGS ; CONTACT ; MODEL ; SCALE
WOS Research AreaMechanics
WOS SubjectMechanics
Funding ProjectNational Natural Science Foundation of China[11890681] ; National Natural Science Foundation of China[11672301] ; National Natural Science Foundation of China[11521202] ; National Natural Science Foundation of China[11432014 and11572329]
Funding OrganizationNational Natural Science Foundation of China
Classification一类/力学重要期刊
Ranking2
ContributorWei, Yueguang
Citation statistics
Document Type期刊论文
Identifierhttp://dspace.imech.ac.cn/handle/311007/82064
Collection非线性力学国家重点实验室
Affiliation1.Peking Univ, Coll Engn, Dept Mech & Engn Sci, Beijing 100871, Peoples R China;
2.Chinese Acad Sci, Inst Mech, State Key Lab Nonlinear Mech, Beijing 100190, Peoples R China
Recommended Citation
GB/T 7714
Liu, YW,Ma HS,Wei YG,et al. Size effect investigation of indentation response of stifffilm/compliant substrate composite structure[J]. INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES,2020,193:106-116.
APA Liu, YW,马寒松,魏悦广,&Chen, P.(2020).Size effect investigation of indentation response of stifffilm/compliant substrate composite structure.INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES,193,106-116.
MLA Liu, YW,et al."Size effect investigation of indentation response of stifffilm/compliant substrate composite structure".INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES 193(2020):106-116.
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