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Computer Modeling in Engineering & Sciences 2024年第5期139卷 1935-1960页

作者： Yu Cheng Yajun Huang Shuai Li Zhongbin Zhou Xiaohui Yuan Yanming Xu College of Architecture and Civil Engineering Xinyang Normal UniversityXinyang464000China Henan Unsaturated Soil and Special Soil Engineering Technology Research Center Xinyang Normal UniversityXinyang464000China College of Intelligent Construction Wuchang University of TechnologyWuhan430223China College of Civil Engineering and Architecture Dalian UniversityDalian116622China Henan International Joint Laboratory of Structural Mechanics and Computational Simulation School of Architecture and Civil EngineeringHuanghuai UniversityZhumadian463000China

A new approach for flexoelectricmaterial shape optimization is proposed in this *** this work,a proxymodel based on artificial neural network(ANN)is used to solve the parameter optimization and shape optimization *** improve the fitting ability of the neural network,we use the idea of pre-training to determine the structure of the neural network and combine different optimizers for *** isogeometric analysis-finite element method(IGA-FEM)is used to discretize the flexural theoretical formulas and obtain samples,which helps ANN to build a proxy model from the model shape to the target *** effectiveness of the proposed method is verified through two numerical examples of parameter optimization and one numerical example of shape optimization.

关键词： Shape optimization deep learning flexoelectric structure finite element method isogeometric

Multi-Patch Black-White Topology Optimization in isogeometric Analysis

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Computer Modeling in Engineering & Sciences 2023年第1期134卷 459-481页

作者： Qingyuan Hu Yuan Liang Menghao Liu Manfeng Hu Yawen Mao School of Science Jiangnan UniversityWuxi214122China Department of Engineering Mechanics Dalian University of TechnologyDalian116024China

Topological optimization plays a guiding role in the conceptual design *** paper conducts research on structural topology optimization algorithm within the framework of isogeometric *** multi-component structures,the Nitsche’smethod is used to glue differentmeshes to performisogeometricmulti-patch *** discrete variable topology optimization algorithm based on integer programming is adopted in order to obtain clear boundaries for topology *** sensitivity filtering method based on the Helmholtz equation is employed for averaging of curved elements’*** addition,a simple averaging method along coupling interfaces is proposed in order to ensure the material distribution across coupling areas is reasonably ***,the performance of the algorithm is demonstrated by numerical examples,and the effectiveness of the algorithm is verified by comparing it with the results obtained by single-patch and ABAQUS cases.

关键词： isogeometric topology optimization nitsche multi-patch integer programming

isogeometric analysis of coupled thermo-elastodynamic problems under cyclic thermal shock

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Frontiers of Structural and Civil Engineering 2019年第2期13卷 397-405页

作者： Asghar AMANI DASHLEJEH Faculty of Engineering University of Mohaghegh ArdabiliIran

The isogeometric analysis (IGA) method was extended for the solution of the coupled thermoelastodynamic equations. The dimensionless formulation was accepted in discretization of the uncoupled and coupled thermoelasticity equations and the Generalized Newmark method was used in the time integration procedure. First, the performance of the proposed method was verified against a two-dimensional benchmark example subjected to constant thermal shock with available exact analytical solutions. Then a two-dimensional half^space benchmark example under thermal shock was solved. Finally, cyclic thermal shock (CTS) loading was applied on the half-space problem. The results dedicated that IGA can be used as a suitable approach in the analysis of the general thermomechanical problems.

关键词： isogeometric analysis coupled thermo-elastodynamic dynamic analysis generalized newmark cyclic thermal

isogeometric analysis of multi-patch solid-shells in large deformation

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Acta Mechanica Sinica 2021年第5期37卷 844-860,I0003页

作者： Qingyuan Hu Davide Baroli Shuzhen Rao School of Science Jiangnan UniversityWuxi 214122China AICES-Aachen Institute for Advanced Study in Computational Engineering Science 52062 AachenGermany

In the context of isogeometric analysis(IGA)of shell structures,the popularity of the solid-shell elements benefit from formulation simplicity and full 3D stress *** some basic questions remain unresolved when using solid-shell element,especially for large deformation cases with patch coupling,which is a common scene in real-life *** this research,after introduction of the solid-shell nonlinear formulation and a fundamental 3D model construction method,we present a non-symmetric variant of the standardNitsche’s formulation for multi-patch coupling in associationwith an empirical formula for its stabilization *** selective and reduced integration scheme is also presented to address the locking *** addition,the quasi-Newton iteration format is derived as solver,together with a step length control *** second order derivatives are totally neglected by the adoption of the non-symmetric Nitsche’s formulation and the quasi-Newton *** solid-shell elements are numerically studied by a linear elastic plate example,then we demonstrate the performance of the proposed formulation in large deformation,in terms of result verification,iteration history and continuity of displacement across the coupling interface.

关键词： isogeometric Solid-shell Nitsche Patch coupling Quasi-Newton

isogeometric topology optimization based on energy penalization for symmetric structure

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Frontiers of Mechanical Engineering 2020年第1期15卷 100-122页

作者： Xianda XIE Shuting WANG Ming YE Zhaohui XIA Wei ZHAO Ning JIANG Manman XU School of Mechanical Science and Engineering Huazhong University of Science and TechnologyWuhan 430074China Guangzhou Huagong Motor Vehicle Inspection Technology Co. Ltd.Guangzhou 510640China National Engineering Research Center of Near-Net-Shape Forming for Metallic Materials South China University of TechnologyGuangzhou 510641China Guangdong Provincial Key Laboratory of Technique and Equipment for Macromolecular Advanced Manufacturing South China University of TechnologyGuangzhou 510641China

We present an energy penalization method for isogeometric topology optimization using moving morphable components(ITO–MMC),propose an ITO–MMC with an additional bilateral or periodic symmetric constraint for symmetric structures,and then extend the proposed energy penalization method to an ITO–MMC with a symmetric *** energy penalization method can solve the problems of numerical instability and convergence for the ITO–MMC and the ITO–MMC subjected to the structural symmetric constraint with asymmetric *** optimization problems of asymmetric,bilateral symmetric,and periodic symmetric structures are discussed to validate the effectiveness of the proposed energy penalization *** with the conventional ITO–MMC,the energy penalization method for the ITO–MMC can improve the convergence rate from 18.6%to 44.5%for the optimization of the asymmetric *** the ITO–MMC under a bilateral symmetric constraint,the proposed method can reduce the objective value by 5.6%and obtain a final optimized topology that has a clear boundary with decreased *** the ITO–MMC under a periodic symmetric constraint,the proposed energy penalization method can dramatically reduce the number of iterations and obtain a speedup of more than 2.

关键词： topology optimization moving morphable component isogeometric analysis energy penalization method symmetric constraint

Structural Design Optimization Using isogeometric Analysis: A Comprehensive Review

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Computer Modeling in Engineering & Sciences 2018年第12期117卷 455-507页

作者： Yingjun Wang Zhenpei Wang Zhaohui Xia Leong Hien Poh National Engineering Research Center of Novel Equipment for Polymer Processing Key Laboratory of Polymer Processing Engineering(South China University of Technology)Ministry of EducationSchool of Mechanical and Automotive EngineeringSouth China University of TechnologyGuangzhou510641China Department of Civil and Environmental Engineering National University of Singapore 1 Engineering Drive 2E1A 07-03117576Singapore Center for Modeling Simulation and Imaging in Medicine(CeMSIM)Rensselaer Polytechnic InstituteTroyNY 12180USA.

isogeometric analysis(IGA),an approach that integrates CAE into conventional CAD design tools,has been used in structural optimization for 10 years,with plenty of excellent research *** paper provides a comprehensive review on isogeometric shape and topology optimization,with a brief coverage of size *** isogeometric shape optimization,attention is focused on the parametrization methods,mesh updating schemes and shape sensitivity *** interesting observations,*** popularity of using direct(differential)method for shape sensitivity analysis and the possibility of developing a large scale,seamlessly integrated analysis-design platform,are discussed in the framework of isogeometric shape *** isogeometric topology optimization(ITO),we discuss different types of ITOs,*** using SIMP(Solid Isotropic Material with Penalization)method,ITO using level set method,ITO using moving morphable com-ponents(MMC),ITO with phase field model,etc.,their technical details and applications such as the spline filter,multi-resolution approach,multi-material problems and stress con-strained *** addition to the review in the last 10 years,the current developmental trend of isogeometric structural optimization is discussed.

关键词： isogeometric analysis structural optimization shape optimization topology optimization sensitivity analysis.

Level set-based isogeometric topology optimization for maximizing fundamental eigenfrequency

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Frontiers of Mechanical Engineering 2019年第2期14卷 222-234页

作者： Manman XU Shuting WANG Xianda XIE School of Mechanical Science and Engineering Huazhong University of Science and TechnologyWuhan 430074China

Maximizing the fundamental eigenfrequency is an efficient means for vibrating structures to avoid resonance and *** this study,we develop an isogeometric analysis(IGA)-based level set model for the fonnulation and solution of topology optimization in cases with maximum *** proposed method is based on a combination of level set method and IGA technique,which uses the non-uniform rational B-spline(NURBS),description of geometry,to perfonn *** same NURBS is used for geometry representation,but also for IGA-based dynamic analysis and parameterization of the level set surface,that is,the level set *** method is applied to topology optimization problems of maximizing the fundamental eigenfrequency for a given amount of material.A modal track method,that monitors a single target eigenmode is employed to prevent the exchange of eigenmode order number in eigenfrequency *** validity and efficiency of the proposed method are illustrated by benchmark examples.

关键词： topology optimization level set method isogeometric analysis eigenfrequency

isogeometric Analysis of Soil Plasticity

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Geomaterials 2017年第3期7卷 96-116页

作者： Alex Spetz Erika Tudisco Ralf Denzer Ola Dahlblom Geotechnical Engineering Department of Construction Sciences Faculty of Engineering Lund University Lund Sweden Solid Mechanics Department of Construction Sciences Faculty of Engineering Lund University Lund Sweden

In this paper we present numerical simulations of soil plasticity using isogeometric analysis comparing the results to the solutions from conventional finite element method. isogeometric analysis is a numerical method that uses nonuniform rational B-splines (NURBS) as basis functions instead of the Lagrangian polynomials often used in the finite element method. These functions have a higher-order of continuity, making it possible to represent complex geometries exactly. After a brief outline of the theory behind the isogeometric concept, we give a presentation of the constitutive equations, used to simulate the soil behavior in this work. The paper concludes with numerical examples in two- and three-dimensions, which assess the accuracy of isogeometric analysis for simulations of soil behavior. The numerical examples presented show, that for drained soils, the results from isogeometric analysis are overall in good agreement with the conventional finite element method in two- and three-dimensions. Thus isogeometric analysis is a good alternative to conventional finite element analysis for simulations of soil behavior.

关键词： isogeometric Analysis NURBS Numerical Methods Soil Plasticity

An isogeometric Error Estimate for Transport Equation in 2D

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Advances in Pure Mathematics 2019年第9期9卷 777-793页

作者： Aurélien Goudjo Uriel Aguemon FAculté des Sciences et Techniques (FAST) Université d’Abomey-Calavi (UAC) Abomey-Calavi Benin Institut de Mathématiques et de Sciences Physiques (IMSP) Université d’Abomey-Calavi (UAC) Abomey-Calavi Benin

In this paper, an isogeometric error estimate for transport equation is obtained in 2D to prove the convergence of isogeometric method. The result that we have obtained, generalizes Ern result, got in finite elements method. For the time discretization, the two stage Heun scheme is used to prove this result. For a polynomial of degree k≥1, the order of convergence in space is 2 and in time is .

关键词： Error Estimate isogeometric Method The Two Stage Heun Scheme Transport Equation

isogeometric Analysis for Linear and Nonlinear Cantilever in CAD

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Journal of Mechanics Engineering and Automation 2018年第5期8卷 198-204页

作者： Mian Zhou Department of Machine and Process Engineering Technical University KaiserslauternKaiserslautern 67655Germany

A novel method for the mechanical simulation of linear and nonlinear Timoshenko-beams has been *** beam strains are based on a kinematic assumption where the shear deformation and rotational are *** the isoparametric concept the kinematic quantities are approximated using NURBS(non-uniform Rational B-spline)*** numerical simulation can be called as isogeometric analysis,which can improve the efficiency in CAD(computer aided design).Furthermore,an efficient Code has been developed and the results for two numerical applications are given in the end.

关键词： isogeometric analysis NURBS basis functions Timoshenko-beams finite element formulation