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Bulging intervertebral disc:an asymptotic elasticity solution

Acta Mechanica Sinica 2018年第6期34卷 1167-1173页

作者： Yu-Cheng Lo Liu Wang Orthopaedic department Changhua Christian HospitalChanghuaChina department of Aerospace Engineering and engineeringmechanics Center for Mechanics of SolidsStructures andMaterialsUniversity of Texas at AustinAustinTX78712USA

A bulging intervertebral disc (IVD) occurs when pressure on a spinal disc damages the once healthy disc,causing it to compress or change its normal *** medicine,most attention has been paid clinically to diagnosis of and treatment for such problems,which little effect has been made to understand such issues from a mechanics perspective,i.e.,the bulging deformation of the soft IVD induced by excessive compressive *** report herein a simple elasticity solution to understand the bulging disc *** simplicity,the soft IVD is modeled as an incompressible circular composite layer consisting of an inner nucleus and outer annulus,sandwiched between two vertebral segments which are much stiffer than the IVD and can be treated as rigid *** adopting any assumptions regarding prescribed displacements or stresses,we obtained the stress and displacement fields within the composite layer when a certain compressive stain is applied via an asymptotic *** asymptotic approach is very simple and accurate enough for prediction of the bugling profile of the *** also performed finite-element modeling (FEM) to validate our solutions;the predicted stress and displacement fields inside the composite are in good agreement with the FEM results.

关键词： Bulging intervertebral disc (IVD) Elastic composite layer Asymptotic solution Finite element method

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New Insights on Convergence Properties of Peridynamic Models for Transient Diffusion and Elastodynamics

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Communications in Computational Physics 2022年第10期32卷 1257-1286页

作者： Zhikun Zhou Xuhao Peng Pan Wu Ziguang Chen Florin Bobaru department of engineeringmechanics School ofAerospace EngineeringHuazhong University of Science and TechnologyWuhan430074China Hubei Key Laboratory of Engineering Structural Analysis and Safety Assessment 1037 Luoyu RoadWuhan430074China department of Mechanical and Materials Engineering University of Nebraska-LincolnLincolnNE68588-0526USA

Recent analytical solutions for peridynamic(PD)models of transient diffusion and elastodynamics allow us to revisit convergence of 1D PD models to their classical *** find and explain the reasons for some interesting differences between the convergence behavior for transient diffusion and elastodynamics *** for very early times,PD models for transient diffusion converge monotonically to the classical *** contrast,for elastodynamic problems this convergence is more complex,with some periodic/almost-periodic characteristics *** special features are investigated for sine waves used as initial *** analysis indicates that the convergence behavior of PD solutions to the classical one can be understood in terms of convergence properties for models using the Fourier series expansion terms of a particular initial *** results obtained show new connections between PD models and their corresponding classical versions.

关键词： Convergence peridynamics nonlocal models analytical solutions transient diffusion elastodynamics

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Thermoelastic Structural Topology Optimization Based on Moving Morphable Components Framework

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Computer Modeling in Engineering & Sciences 2021年第9期128卷 1179-1196页

作者： Jun Yan Qi Xu Zhirui Fan Zunyi Duan Hongze Du Dongling Geng department of engineeringmechanics StateKey Laboratory of StructuralAnalysis for Industrial EquipmentInternational Research Center for Computational MechanicsDalian University of TechnologyDalian116024China Institute of Structural Health Monitoring and Control School of MechanicsCivil Engineering&ArchitectureNorthwestern Polytechnical UniversityXi’an710072China Ningbo Research Institute of Dalian University of Technology Ningbo315016China

This study investigates structural topology optimization of thermoelastic structures considering two kinds of objectives ofminimumstructural compliance and elastic strain energy with a specified available volume *** explicitly express the configuration evolution in the structural topology optimization under combination of mechanical and thermal load conditions,the moving morphable components(MMC)framework is *** on the characteristics of the MMC framework,the number of design variables can be reduced *** optimization formulation in the MMC topology optimization framework and numerical solution procedures are developed for several numerical *** optimization results are obtained with structural compliance and elastic strain energy as objectives,respectively,for thermoelastic *** effectiveness of the proposed optimization formulation is validated by the numerical *** is revealed that for the optimization design of the thermoelastic structural strength,the objective function with the minimum structural strain energy can achieve a better performance than that from structural compliance design.

关键词： Thermoelastic structure topology optimization moving morphable components minimum structural compliance minimum strain energy

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Multi-Material and Multiscale Topology Design Optimization of Thermoelastic Lattice Structures

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Computer Modeling in Engineering & Sciences 2022年第2期130卷 967-986页

作者： Jun Yan Qianqian Sui Zhirui Fan Zunyi Duan StateKey Laboratory of Structural Analysis for Industrial Equipment Department of EngineeringMechanicsInternational Research Center for Computational MechanicsDalian University of TechnologyDalian116024China Ningbo Research Institute of Dalian University of Technology Ningbo315016China Institute of Structural Health Monitoring and Control School of MechanicsCivil Engineering&ArchitectureNorthwestern Polytechnical UniversityXi’an710072China

This study establishes amultiscale andmulti-material topology optimization model for thermoelastic lattice structures(TLSs)consideringmechanical and thermal loading based on the ExtendedMultiscale Finite ElementMethod(EMsFEM).The corresponding multi-material and multiscale mathematical formulation have been established with minimizing strain energy and structural mass as the objective function and constraint,*** Solid Isotropic Material with Penalization(SIMP)interpolation scheme has been adopted to realize micro-scale multi-material selection of truss *** modified volume preserving Heaviside function(VPHF)is utilized to obtain a clear 0/1 material of truss *** with the classic topology optimization of single-material TLSs,multi-material topology optimization can get a better structural design of the *** effects of temperatures,size factor,and mass fraction on optimization results have been presented and discussed in the numerical examples.

关键词： Multi-material design optimization thermoelastic lattice structure multiscale topology optimization mass constraint strain energy

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