Semi-analytical Modeling of the Influence of Macro Bending Effects on Micro Contact-Inhomogeneity Problems  

作　　者：Jinran Li Linlin Sun Ning Zhao Pu Li 

机构地区：[1]School of Mechanical Engineering,Northwestern Polytechnical University,Xi’an 710072,China [2]Key Laboratory of Road Construction Technology and Equipment of the Ministry of Education,Chang’an University,Xi’an 710064,China [3]Shaanxi Key Laboratory of Gear Transmissions,Xi’an 710072,China [4]School of Science,Harbin Institute of Technology,Shenzhen 518055,China

出　　处：《Acta Mechanica Solida Sinica》2023年第6期860-874,共15页固体力学学报（英文版）

基　　金：support from the National Science and Technology Major Project(no.J2019-VII-0017-0159);the National Natural Science Foundation of China(no.52205048);support from the National Natural Science Foundation of China(no.52205192);Jinran Li would like to thank the China Scholarship Council(CSC)for its financial support(file no.201906290129)during his studies at Northwestern University as a visiting student.

摘　　要：This study examines the effects of macroscopic bending and microscopic contact loading in inhomogeneous materials using a semi-analytical model based on Eshelby’s equivalent inclusion method.The model accounts for bending effects through the beam theory,with bending stress included in the Eshelby’s equivalent inclusion equations.The macroscopic displacement resulting from bending effects is incorporated into the microscopic contact solver,and the final displacement is determined using the conjugate gradient method in an iterative solution.Computational efficiency can be improved by incorporating the discrete convolution and fast Fourier transform.The core scheme is validated using the finite element method,yielding accurate and efficient results for bending-contact problems in inhomogeneous materials.Simulations reveal the interplay between bending,contact loading,and inhomogeneity,as stress around the inhomogeneity alters and the stress concentration area expands under increasing bending moments.Conversely,low-magnitude negative bending moments reduce both contact pressure and stress around the inhomogeneity.The position where inhomogeneities are least affected shifts from the neutral surface depending on the coupling effect.The model provides a valuable bridge for connecting the macroscopic bending effect and microscale contact-inhomogeneity problems by visualizing stress fields and assessing pressure distributions.

关 键 词：Contact analysis Bending effects INHOMOGENEITY Equivalent inclusion method Semi-analytical model 

分 类 号：O34[理学—固体力学]