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Finite Element Method on Shape Memory Alloy Structure and Its Applications

Chinese Journal of Mechanical Engineering 2019年第5期32卷 125-135页

作者： Bo Zhou Zetian Kang Zhiyong Wang shifeng xue College of Pipeline and Civil Engineering China University of Petroleum(East China)

It is significant to numerically investigate thermo-mechanical behaviors of shape memory alloy(SMA)structures undergoing large and uneven deformation for they are used in many engineering fields to meet special requirements To solve the problems of convergence in the numerical simulation on thermo-mechanical behaviors of SMA structures by universal finite element *** work suppose a finite element method to simulate the super-elasticity and shape memory effect in the SMA structure undergoing large and uneven *** scalars,named by phase-transition modulus and equivalent stiffness,are defined to make it easy to establish and implement the finite element method for a SMA *** incremental constitutive equation is developed to formulate the relationship of stress,strain and temperature in a SMA material based on phase-transition modulus and equivalent stiffness.A phase-transition modulus equation is derived to describe the relationship of phase-transition modulus,stress and temperature in a SMA material during the processes of martensitic phase transition and martensitic inverse phase transition.A finite element equation is established to express the incremental relationship of nodal displacement,external force and temperature change in a finite element discrete structure of *** incremental constitutive equation,phase-transition modulus equation and finite element equation compose the supposed finite element method which simulate the thermo-mechanical behaviors of a SMA *** SMA structures,which undergo large and uneven deformation,are numerically simulated by the supposed finite element *** of numerical simulation show that the supposed finite element method can effectively simulate the super-elasticity and shape memory effect of a SMA structure undergoing large and uneven deformation,and is suitable to act as an effective computational tool for the wide applications based on the SMA materials.

关键词： Shape memory alloy Incremental constitutive equation Finite element equation Phase-transition modulus Applications

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Modeling size-dependent thermo-mechanical behaviors of shape memory polymer Bernoulli-Euler microbeam

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Applied Mathematics and Mechanics(English Edition) 2019年第11期40卷 1531-1546页

作者： Bo ZHOU xueyao ZHENG Zetian KANG shifeng xue College of Pipeline and Civil Engineering China University of Petroleum (East China)

The objective of this paper is to model the size-dependent thermo-mechanical behaviors of a shape memory polymer (SMP) ***-dependent constitutive equations,which can capture the size effect of the SMP,are proposed based on the modified couple stress theory (MCST).The deformation energy expression of the SMP microbeam is obtained by employing the proposed size-dependent constitutive equation and Bernoulli-Euler beam *** SMP microbeam model,which includes the formulations of deflection,strain,curvature,stress and couple stress,is developed by using the principle of minimum potential energy and the separation of variables *** sizedependent thermo-mechanical and shape memory behaviors of the SMP microbeam and the influence of the Poisson ratio are numerically investigated according to the developed SMP microbeam *** show that the size effects of the SMP microbeam are significant when the dimensionless height is small ***,they are too slight to be necessarily considered when the dimensionless height is large *** bending flexibility and stress level of the SMP microbeam rise with the increasing dimensionless height,while the couple stress level declines with the increasing dimensionless *** larger the dimensionless height is,the more obvious the viscous property and shape memory effect of the SMP microbeam *** Poisson ratio has obvious influence on the size-dependent behaviors of the SMP *** paper provides a theoretical basis and a quantitatively analyzing tool for the design and analysis of SMP micro-structures in the field of biological medicine,microelectronic devices and micro-electro-mechanical system (MEMS) self-assembling.

关键词： shape memory polymer (SMP) size-dependent constitutive equation microbeam model size effect modified couple stress theory (MCST)

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A High-Order Numerical Method to Study Three-Dimensional Hydrodynamics in a Natural River

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Advances in Applied Mathematics and Mechanics 2015年第2期7卷 180-195页

作者： Luyu Shen Changgen Lu Weiguo Wu shifeng xue College of Marine Sciences Nanjing University of Information Science and TechnologyNanjing 210044China College of Atmospheric Sciences Nanjing University of Information Science and TechnologyNanjing 210044China Department of Engineering Mechanics China University of PetroleumDongying 266555China

A high-order numerical method for three-dimensional hydrodynamics is *** present method applies high-order compact schemes in space and a Runge-Kutta scheme in time to solve the Reynolds-averaged Navier-Stokes equations with the k-ǫturbulence model in an orthogonal curvilinear coordinate *** ad-dition,a two-dimensional equation is derived from the depth-averaged momentum equations to predict the water *** proposed method isﬁrst validated by its application to simulateﬂow in a 180◦curved laboratoryﬂ*** is found that the simulated results agree with measurements and are better than those from SIMPLEC *** the method is applied to study three-dimensional hydrodynamics in a natural river,and the simulated results are in accordance with measurements.

关键词： Compact scheme three-dimensional hydrodynamics k-ǫturbulence model orthog-onal curvilinear coordinate system Runge-Kutta scheme

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Dimension-dependent mechanical features of Au-nanocrystalline nanofilms

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Nano Research 2023年第12期16卷 13400-13408页

作者： Lijun Ma Lena Du Shu Wang Qing Wang shifeng xue Hanxing Zhu Qian Liu Department of Engineering Mechanics College of Pipeline and Civil EngineeringChina University of Petroleum(East China)Qingdao 266580China CAS Center for Excellence in Nanoscience National Center for Nanoscience and Technology&University of Chinese Academy of SciencesBeijing 100190China Department of Physics Capital Normal UniversityBeijing 100048China School of Engineering Cardiff UniversityCardiff CF243AAUK MOE Key Laboratory of Weak-Light Nonlinear Photonics TEDA Applied Physics InstituteSchool of PhysicsNankai UniversityTianjin 300457China College of Mechanical and Architectural Engineering Taishan UniversityTai’an 271000China

For metal nanofilms composed of nanocrystals,the multiple deformation mechanisms will coexist and bring unique and complex elastic-plastic and fracture mechanical *** successfully fabricating large quantities of uniform doubly-clamped suspended gold(Au)nanobeams with different thicknesses and nanograin sizes,we obtain full-spectrum mechanical features with statistical significance by combining atomic force microscopy(AFM)nanoindentation experiments,nonlinear theoretical model,and numerical *** yield and breaking strengths of the Au nanobeams have a huge increase by nearly an order of magnitude compared with bulk Au and exhibit strong nonlinear effects,and the corresponding strong-yield ratio is up to 4,demonstrating extremely high strength reserve and vibration *** strong-yield ratio gradually decreases with decreasing thickness,identifying a conversion of the failure type from ductile to ***,the Hall–Petch relationship has been identified to be still valid at the nanoscale,and K in the equation reaches 4.8 Gpa·nm1/2,nearly twice of bulk nanocrystalline Au,which is ascribed to the coupling effect of nanocrystals and nanoscale thickness.

关键词： nanocrystalline Au nanobeams atomic force microscopy numerical simulations full-spectrum mechanical properties

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Constitutive model for epoxy shape memory polymer with regulable phase transition temperature

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International Journal of Smart and Nano Materials 2021年第1期12卷 72-87页

作者： Fei Zhao xueyao Zheng Shichen Zhou Bo Zhou shifeng xue Yi Zhang College of Pipeline and Civil Engineering China University of Petroleum(East China)QingdaoChina

The epoxy shape memory polymer(SMP)with adjustable phase transition temperature is a kind of high-performance shape mem-ory polymer,which can change its phase transition temperature and improve its mechanical properties through the process of photo *** epoxy SMP constitutive model combining phase transition and viscoelasticity is established by discretizing the epoxy SMP into several glass phase units and rubbery phase units in this *** model includes the viscoelastic constitutive equa-tions of glass phase units and rubber phase units,the parameter expression during shape memory process,and material parameter equation during photocuring *** the stress relaxation behavior of epoxy SMP at different temperatures and the change of material parameters during the photo-curing process are simu-lated numerically,and the simulation results perform consistency with the experimental *** model can not only relate shape memory effect and phase transformation in physics but also better characterize the viscoelastic properties of SMP and predict the shape memory response of SMP.

关键词： Epoxy shape memory polymer constitutive model regulable phase transition temperature photo curing

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Research on the Damage of Porosityand Permeabilitydue to Perforation on Sandstone in the Compaction Zone

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Computers, Materials & Continua 2016年第1期51卷 21-42页

作者： shifeng xue Xiuxing Zhu Lin Zhang Shenghu Zhu Guigen Ye xuejun Fan Departmentof Engineering Mechanics China University of PetroleumQingdao 266580China Well Logging Company ShengliOil Engineering Co.Ltd.Dongying 257000China Schlumberger Drilling Dynamic Solution Beijing 100022China Department of Mechanical Engineering Lamar UniversityBeaumontTX 77710USA

A perforating hole is a channel through which the oil and gas in a reservoir pass into the production well *** the process of perforating due to explosion,the surrounding sandstone will be damaged to a certain extent,which will increase the well bore skin and lead to the decrease of production *** this work a mechanical model of perforating damage is developed to describe the influences of perforating due to explosion on the porosity and permeability of the surrounding sandstone near the compaction *** on this developed model,the important data related to the damage of sandstone,such as matrix effective stress,plastic deformation,volumetric strain,and so on,can be numerically *** the behaviors of plasticity kinematic hardening at high strain rate due to impact loads,which are the important characteristics in the sandstone,is taken into account in this developed *** numerical and testing results show that the damage due to perforation in the sandstone can be accurately predicted by the developed model together with the porosity and permeability evolving model of perforation in a compaction *** a practical application,a methodology for the analysis of damage of porosity and permeability around a perforation tunnel is supposed based on the developed model and the core flow efficiency test of interparticle pore spaced sandstone target in China Shengli Oilfield and the computed tomography test.

关键词： zone. sandstone reservoir

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Nonlinear Finite Element Method Considering Martensite Plasticity for Shape Memory Alloy Structure

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Journal of Shanghai Jiaotong university(Science) 2021年第6期26卷 774-785页

作者： ZHOU Bo KANG Zetian WANG Zhiyong xue shifeng Department of Engineering Mechanics College of Pipeline and Civil EngineeringChina University of PetroleumQingdao 266580ShandongChina

This work presents a nonlinear finite element method to simulate the macroscopic mechanical responses and the effects of martensite plasticity in a shape memory alloy(SMA)structure.A linear relationship formulation is adopted to express the influence of martensite plasticity on the inverse martensitic phase transition of SMA *** with a trigonometric-type phase transition evolution law and an exponential-type plastic flow evolution law,an incremental mechanical model with two internal variables is supposed based on the macroscopic experimental phenomena.A nonlinear finite element equation is formulated and solved by the principle of virtual displacement and Newton-Raphson method *** employing the proposed nonlinear finite element method,the uniform tensile bar and three-point bending beam are simulated and *** illustrate that the presented nonlinear finite element method is suitable to act as an effective computational tool for the wide applications based on the SMA material considering the effects of martensite plasticity because all material constants related to the method can be obtained from macroscopic experiments.

关键词： shape memory alloy(SMA)structure martensite plasticity incremental mechanical model nonlinear finite element method

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功能梯度形状记忆合金复合梁的力学行为

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复合材料学报 2019年第8期36卷 1901-1910页

作者：康泽天周博薛世峰中国石油大学(华东)储运与建筑工程学院

功能梯度形状记忆合金(Functionally graded shape memory alloy,FGSMA)兼具功能梯度材料和形状记忆合金材料的双重特性,广泛应用于微机电、航空航天等工程领域。为研究FGSMA复合梁的弯曲行为,本文对形状记忆合金(SMA)力学本构方程进行... 详细信息

功能梯度形状记忆合金(Functionally graded shape memory alloy,FGSMA)兼具功能梯度材料和形状记忆合金材料的双重特性,广泛应用于微机电、航空航天等工程领域。为研究FGSMA复合梁的弯曲行为,本文对形状记忆合金(SMA)力学本构方程进行简化处理,并根据复合材料层合板理论建立了FGSMA复合梁的力学模型,据此研究了SMA体积分数沿厚度方向呈线性变化的FGSMA悬臂梁内SMA纤维铺设角度对悬臂梁横截面应变、中面轴向位移、中性面高度和相变层高度的影响以及悬臂梁中面应变、曲率、SMA马氏体相变临界层高度和中性面高度随弯矩载荷的变化规律。研究结果表明:在弯矩载荷作用下,悬臂梁中性面位置与中面位置不重合,且悬臂梁上下层SMA马氏体相变临界层位置不对称;截面轴向应变绝对值随铺设角度增大而增大,截面纵向应变绝对值随铺设角度增大先增大后减小,中面轴向位移随铺设角度增大先增大后减小;随着铺设角度增大,悬臂梁中性面高度逐渐增大,拉伸状态下相变结束临界层高度先减小后增大,压缩状态的趋势相反;随着弯矩载荷绝对值逐渐增大,中性面位置高度表现出先稳定后减小然后逐渐增大的趋势,相变临界层逐渐向中性面位置靠拢;中面正应变和挠曲率随着弯矩载荷绝对值逐渐增大而发生变化,且变化率先增大后减缓。

关键词：功能梯度材料形状记忆合金悬臂梁复合材料力学力学模型

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岩石断裂力学的扩展有限元法

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中国石油大学学报（自然科学版） 2016年第4期40卷 121-126页

作者：周博孙博薛世峰中国石油大学储运与建筑工程学院山东青岛266580

针对岩石材料的断裂力学问题阐述扩展有限元法的单元位移模式的选择、确定平面裂纹空间位置的水平集法和特殊单元的数值积分方法。介绍最大周向应力裂纹扩展判据和计算应力强度因子的相互作用积分法,进而建立岩石断裂力学的扩展有限元... 详细信息

针对岩石材料的断裂力学问题阐述扩展有限元法的单元位移模式的选择、确定平面裂纹空间位置的水平集法和特殊单元的数值积分方法。介绍最大周向应力裂纹扩展判据和计算应力强度因子的相互作用积分法,进而建立岩石断裂力学的扩展有限元法。建立Ⅰ型裂纹和Ⅱ型裂纹的岩石断裂力学的扩展有限元计算模型,对I裂纹的应力强度因子和Ⅱ型裂纹的裂纹扩展路径进行扩展有限元法数值模拟计算。结果表明,建立的岩石断裂力学扩展有限元法可对岩石材料的断裂力学参数和裂纹扩展路径进行数值模拟分析,验证了数值计算结果的合理性,能有效地描述岩石断裂力学特性。

关键词：扩展有限元法水平集法应力强度因子相互作用积分法裂纹扩展判据裂纹扩展路径

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形状记忆合金管接头热机耦合行为的有限元数值模拟

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机械工程学报 2018年第18期54卷 68-75页

作者：康泽天周博薛世峰中国石油大学(华东)储运与建筑工程学院

为了克服形状记忆合金(Shape memory alloy, SMA)管接系统在装配过程中的数值模拟不够精细,SMA管接头紧固力影响因素研究不够详尽的缺点,基于热力学Gibbs自由能,推导SMA在相变过程中应力张量增量与马氏体体积分数增量之间的关系,基于非... 详细信息

为了克服形状记忆合金(Shape memory alloy, SMA)管接系统在装配过程中的数值模拟不够精细,SMA管接头紧固力影响因素研究不够详尽的缺点,基于热力学Gibbs自由能,推导SMA在相变过程中应力张量增量与马氏体体积分数增量之间的关系,基于非线性有限元分析软件ABAQUS二次开发功能,同时考虑材料弹性模量的变化以及马氏体相变的温度效应,编写ABAQUS用户材料子程序,对连接系统的装配过程进行数值模拟,有效描述整个管接系统在热力耦合作用下的相变和力学行为。数值结果表明,被连接管壁的应力最大值出现在内壁靠近管接头端口位置;管接头端口附近接触应力梯度很大,沿轴向从零迅速增加到最大值,然后逐渐回落到一个较高的稳定接触应力值;管接头管壁内的应力和马氏体相变沿管壁由内向外呈梯度分布;整体接触压应力水平表现出与管接头壁厚成正相关,与管接头内径成负相关,与扩径内压无关特性。更准确模拟了SMA管接系统在装配过程中的相变和力学行为,详尽分析了管接头产生紧固力的影响因素,为SMA管接头的设计提供理论基础和指导。

关键词：形状记忆合金管接头本构方程有限元分析

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