首页|Size-Dependent Analysis of Strain Energy Release Rate of Buckling Delamination Based on the Modified Couple Stress Theory

Size-Dependent Analysis of Strain Energy Release Rate of Buckling Delamination Based on the Modified Couple Stress Theory

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In micro-electro-mechanical systems,interface expansion issues are commonly encountered,and due to their small size,they often exist at the micro-or nano-scale.The influence of the micro-structural effect on interface mechanics cannot be ignored.This paper focuses on studying the impact of micro-structural effect on interface crack propagation.Modified couple stress theory(MCST)is used to study the buckling delamination of ultra-thin film-substrate systems.The equivalent elastic modulus(EEM)and equivalent flexural rigidity(EFR)are derived based on MCST.Substituting EEM and EFR into the classical Kirchhoff plate theory,the governing equations of ultra-thin film-substrate system with micro-structural effect can be obtained.The finite element method(FEM)was used to calculate the critical strain energy release rate for crack extension.Differences between the three theoretical approaches of MCST,classical theory(CT),and FEM were compared.The effects of stress ratio σ/σc,initial crack length,film thickness,and micro-structural effect parameters on crack extension were analyzed.The results show that the FEM calculations coincide with the CT calculations.The stress ratio σ/σc,initial crack length,film thickness,and micro-structural effect parameters have significantly influence crack extension.

Modified couple stress theoryEquivalent elastic modulusFilm-substrate systemMicro-structural effectCritical strain energy release rateFinite element method

Siyu He、Feixiang Tang、Xiuming Liu、Zhongjie Gao、Fang Dong、Sheng Liu

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China-EU Institute for Clean and Renewable Energy,Huazhong University of Science and Technology,Wuhan 430074,China

Key Laboratory of Transients in Hydraulic Machinery,Ministry of Education,School of Power and Mechanical Engineering,Wuhan University,Wuhan 430072,China

The Institute of Technological Sciences,Wuhan University,Wuhan 430072,China

School of Mechanical Science and Engineering of HUST,Huazhong University of Science and Technology,Wuhan 430074,China

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2024

10.1007/s10338-024-00520-5

固体力学学报(英文版)
中国力学学会

固体力学学报(英文版)

EI
影响因子：0.214
ISSN：0894-9166
年,卷(期)：2024.37(6)