International Journal for Numerical Methods in Engineering最新文献_第9页

Strict Discretization Error Bounds on Quantities of Interest in Transient Dynamics

IF 2.7 3区工程技术

International Journal for Numerical Methods in Engineering Pub Date : 2024-12-08 DOI: 10.1002/nme.7622

Qisheng Zheng, Jike Liu, Ludovic Chamoin, Li Wang

引用次数: 0

Shape Optimization of Tunable Poisson's Ratio Metamaterials With Disk B-Splines

IF 2.7 3区工程技术

International Journal for Numerical Methods in Engineering Pub Date : 2024-12-06 DOI: 10.1002/nme.7620

Yihui Ye, Nan Zheng, Xiaoya Zhai, Hongmei Kang, Falai Chen

{"title":"Shape Optimization of Tunable Poisson's Ratio Metamaterials With Disk B-Splines","authors":"Yihui Ye, Nan Zheng, Xiaoya Zhai, Hongmei Kang, Falai Chen","doi":"10.1002/nme.7620","DOIUrl":"https://doi.org/10.1002/nme.7620","url":null,"abstract":"<div>\u0000 \u0000 <p>We propose an explicit representation method using disk B-splines for Poisson's ratio metamaterial design. Disk B-spline representation generalizes the concept of the B-spline control point into a control disk, enhancing the ability to manipulate both the shape and thickness of the region. Therefore, this representation is frequently employed for shape optimization. The optimized metamaterials described by disk B-spline are decomposed into a sequence of circles constructing one implicit function. A novel optimization model based on disk B-spline representation is proposed, and the homogenization theory is used for calculating effective Poisson's ratio (PR). The numerical examples contained missing rib metamaterials, petal-like metamaterials, and extreme PR metamaterials, which are studies to illustrate the advantages and effectiveness. By explicitly manipulating the parameters of the disk's B-spline, a broad spectrum of unexpectedly negative Poisson's ratio from -0.1 to -0.9 sequences can be achieved, and arbitrary Poisson's ratios structures can be obtained through interpolating continuous parameters. It's also extended to encompass 3D structures. We validate the accuracy of our results by comparing them with simulations performed using commercial software.</p>\u0000 </div>","PeriodicalId":13699,"journal":{"name":"International Journal for Numerical Methods in Engineering","volume":"126 1","pages":""},"PeriodicalIF":2.7,"publicationDate":"2024-12-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143112239","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

An Enhanced and Highly Efficient Semi-Implicit Combined Lagrange Multiplier Approach Preserving Original Energy Law for Dissipative Systems

IF 2.7 3区工程技术

International Journal for Numerical Methods in Engineering Pub Date : 2024-12-06 DOI: 10.1002/nme.7619

Zhengguang Liu, Nan Zheng, Xiaoli Li

{"title":"An Enhanced and Highly Efficient Semi-Implicit Combined Lagrange Multiplier Approach Preserving Original Energy Law for Dissipative Systems","authors":"Zhengguang Liu, Nan Zheng, Xiaoli Li","doi":"10.1002/nme.7619","DOIUrl":"https://doi.org/10.1002/nme.7619","url":null,"abstract":"<div>\u0000 \u0000 <p>Recently, a new Lagrange multiplier approach was introduced by Cheng, Liu, and Shen, which has been broadly used to solve various challenging phase field problems. To design original energy-stable schemes, they have to solve a nonlinear algebraic equation to determine the introduced Lagrange multiplier, which can be computationally expensive, especially for large-scale and long-time simulations involving complex nonlinear terms. In this article, we propose an essential improved technique to modify this issue, which can be seen as a semi-implicit combined Lagrange multiplier approach. In general, the newly constructed schemes keep all the advantages of the Lagrange multiplier method and significantly reduce the computation costs. Besides, the new proposed second-order backward difference formula (BDF2) scheme dissipates the original energy, as opposed to a modified energy for the classic Lagrange multiplier approach. In addition, we establish a general framework for extending our constructed method to dissipative systems. Finally, several examples have been presented to demonstrate the effectiveness of the proposed approach.</p>\u0000 </div>","PeriodicalId":13699,"journal":{"name":"International Journal for Numerical Methods in Engineering","volume":"126 1","pages":""},"PeriodicalIF":2.7,"publicationDate":"2024-12-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143112238","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

A Novel Two-Stage Reliability Analysis Method Combining Improved Cross-Entropy Adaptive Sampling and Relevant Vector Machine

IF 2.7 3区工程技术

International Journal for Numerical Methods in Engineering Pub Date : 2024-12-04 DOI: 10.1002/nme.7635

Xin Fan, Xufeng Yang, Yongshou Liu

{"title":"A Novel Two-Stage Reliability Analysis Method Combining Improved Cross-Entropy Adaptive Sampling and Relevant Vector Machine","authors":"Xin Fan, Xufeng Yang, Yongshou Liu","doi":"10.1002/nme.7635","DOIUrl":"https://doi.org/10.1002/nme.7635","url":null,"abstract":"<div>\u0000 \u0000 <p>The computational burden becomes unbearable when reliability analysis involves time-consuming finite element analysis, especially for rare events. Therefore, reducing the number of performance function calls is the only way to improve computing efficiency. This paper proposes a novel reliability analysis method that combines relevant vector machine (RVM) and improved cross-entropy adaptive sampling (iCE). In this method, RVM is employed to approximate the limit state surface and iCE is performed based on the constructed RVM. To guarantee the precision of RVM, the first level samples and the last level samples of iCE are used as candidate samples and the last level samples are regenerated along with the RVM updates. To prevent unnecessary updates of RVM, the proposed method considers the positions of the samples in the current design of experiment. In addition, based on the statistical properties of RVM and iCE, an error-based stopping criterion is proposed. The accuracy and efficiency of the proposed method were validated through four benchmark examples. Finally, the proposed method is applied to engineering problems which are working in extreme environment.</p>\u0000 </div>","PeriodicalId":13699,"journal":{"name":"International Journal for Numerical Methods in Engineering","volume":"126 1","pages":""},"PeriodicalIF":2.7,"publicationDate":"2024-12-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143111743","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Multi-Set MMV Topology Optimization Approach for Sliding Surface Texture Design

IF 2.7 3区工程技术

International Journal for Numerical Methods in Engineering Pub Date : 2024-11-28 DOI: 10.1002/nme.7612

Weisheng Zhang, Honghao Tian, Bao Zhu, Xu Guo, Sung-Kie Youn

引用次数: 0

A Discrete Sine-Cosine Transforms Galerkin Method for the Conductivity of Heterogeneous Materials With Mixed Dirichlet/Neumann Boundary Conditions

IF 2.7 3区工程技术

International Journal for Numerical Methods in Engineering Pub Date : 2024-11-26 DOI: 10.1002/nme.7615

Joseph Paux, Léo Morin, Lionel Gélébart

引用次数: 0

A General Bipenalty Formulation for Explicit Contact-Impact Analysis With a Parameter Selection Criterion

IF 2.7 3区工程技术

International Journal for Numerical Methods in Engineering Pub Date : 2024-11-22 DOI: 10.1002/nme.7614

Yun-Jae Kwon, Jin-Gyun Kim, Sang Soon Cho, José A. González

{"title":"A General Bipenalty Formulation for Explicit Contact-Impact Analysis With a Parameter Selection Criterion","authors":"Yun-Jae Kwon, Jin-Gyun Kim, Sang Soon Cho, José A. González","doi":"10.1002/nme.7614","DOIUrl":"https://doi.org/10.1002/nme.7614","url":null,"abstract":"<p>A general bipenalty formulation with a parameter selection criterion is proposed for explicit contact-impact finite element analysis. In order to model the contact phenomenon using penalties, it is necessary to introduce an artificial contact stiffness that can increase the maximum natural frequency of the system. When a large stiffness penalty parameter is used, the stability condition forces to reduce the time step size, increasing at the same time the computational demands. A solution to avoid the small time step size requirement and possible instabilities is to include a mass penalty in addition to the stiffness penalty term, using a technique known as the <i>bipenalty</i> method. However, this method presents some other challenges, mainly related to the parameter selection criterion and its final accuracy. In this work, two important improvements for the bipenalty method are presented. (i) An element-type and dimension-independent criterion for the selection of penalty mass and stiffness parameters. (ii) A modified predictor-corrector scheme, specifically designed for the bipenalty method, that improves the accuracy of contact-impact problems. Different 1D, 2D, and 3D contact-impact examples are used to illustrate the stability, applicability to general contact cases, and reduction of the zigzag effect and spurious oscillations exhibited by the proposed methods.</p>","PeriodicalId":13699,"journal":{"name":"International Journal for Numerical Methods in Engineering","volume":"126 1","pages":""},"PeriodicalIF":2.7,"publicationDate":"2024-11-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://onlinelibrary.wiley.com/doi/epdf/10.1002/nme.7614","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143118305","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Adaptive FEM-SPIM Coupling for Phase-Field Modeling of Fracture

IF 2.7 3区工程技术

International Journal for Numerical Methods in Engineering Pub Date : 2024-11-22 DOI: 10.1002/nme.7609

Larissa Novelli, Roque Luiz da Silva Pitangueira, Lapo Gori

{"title":"Adaptive FEM-SPIM Coupling for Phase-Field Modeling of Fracture","authors":"Larissa Novelli, Roque Luiz da Silva Pitangueira, Lapo Gori","doi":"10.1002/nme.7609","DOIUrl":"https://doi.org/10.1002/nme.7609","url":null,"abstract":"<div>\u0000 \u0000 <p>This article proposes an adaptive coupling strategy between the standard FEM and smoothed point interpolation methods (SPIMs) for the solution of phase-field fracture problems, where the SPIM discretization is used to model the fracture propagation regions. Adaptive strategies are an important tool for problems that demand highly refined meshes in localized regions, such as in phase-field problems. In the proposed strategy, the problem is initially discretized with a coarse FEM mesh, that is automatically replaced and refined by an SPIM discretization when and where fracture occurs. Five different benchmark tests are presented to illustrate the robustness of the proposed strategy. Brittle and quasi-brittle problems are simulated and evaluated in terms of phase-field contour plots and load-displacement paths, showing good agreement with literature results and with results obtained with previously refined FEM models. The numerical simulations consider different criteria for the identification of the regions where the discretization replacement and refinement must occur, different sizes of the substitution regions, and different SPIM strategies. The proposed strategy relies on three properties of the meshfree strategy: (i) the reduced connectivity that ease the adaptive refinement, (ii) the presence of the Kronecker-delta property, that makes the coupling with the FEM mesh straightforward, and (iii) the presence of nonpolynomial approximation functions, that provide a better approximation of the phase-field profile. As illustrated by the simulations, this new strategy results in computational times that are comparable with the ones of a previously refined FEM mesh, without requiring an a priori knowledge of the replacement regions.</p>\u0000 </div>","PeriodicalId":13699,"journal":{"name":"International Journal for Numerical Methods in Engineering","volume":"126 1","pages":""},"PeriodicalIF":2.7,"publicationDate":"2024-11-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143117835","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Analysis of Dynamic Problems in Fully Saturated Porous Media Using an Embedded Velocity Integration Formulation With an Adaptive Runge–Kutta Method

IF 2.7 3区工程技术

International Journal for Numerical Methods in Engineering Pub Date : 2024-11-22 DOI: 10.1002/nme.7610

J. Sunten, A. Schwarz, J. Bluhm, J. Schröder

引用次数: 0

An Energy-Conserving Time Integration Scheme for Nonlinear Dynamics Analysis of Geometrically Exact 3D Euler–Bernoulli Beams

IF 2.7 3区工程技术

International Journal for Numerical Methods in Engineering Pub Date : 2024-11-22 DOI: 10.1002/nme.7611

Sophy Chhang, Carlo Sansour, Pisey Keo, Mohammed Hjiaj, Jean-Marc Battini, M. V. Bento Santana

{"title":"An Energy-Conserving Time Integration Scheme for Nonlinear Dynamics Analysis of Geometrically Exact 3D Euler–Bernoulli Beams","authors":"Sophy Chhang, Carlo Sansour, Pisey Keo, Mohammed Hjiaj, Jean-Marc Battini, M. V. Bento Santana","doi":"10.1002/nme.7611","DOIUrl":"https://doi.org/10.1002/nme.7611","url":null,"abstract":"<div>\u0000 \u0000 <p>In the nonlinear large deformation regime, the beam theory is usually based on the Timoshenko assumption which considers shear deformations. The formulation of a 3D Euler–Bernoulli beam has been significantly delayed and only recently it did attract the attention of few researchers. The main reason lies in the challenging complexities met once an attempt to develop such a theory is undertaken. The main obstacle in defining a three-dimensional Euler–Bernoulli beam theory lies in the fact that there is no natural way of defining a base system at the deformed configuration. In this article, we provide a novel methodology to do so leading to the development of a spatial rod formulation which incorporates the Euler–Bernoulli assumption. The first approach makes use of Gram–Schmidt orthogonalisation process coupled to a one-parametric rotation. The latter completes the description of the torsional cross sectional rotation and overcomes the nonuniqueness of the Gram–Schmidt procedure. In a second approach, the rotation tensor is defined based on first and second derivatives of the displacement vector of the centre line. It is followed by one parametric rotation. The proposed formulation is extended to the dynamical case and a stable, energy and momentum conserving time-stepping algorithm is presented as well. Specifically, the proof of conservation of angular momentum of the time stepping algorithm is highly demanding and is given here in full.</p>\u0000 </div>","PeriodicalId":13699,"journal":{"name":"International Journal for Numerical Methods in Engineering","volume":"126 1","pages":""},"PeriodicalIF":2.7,"publicationDate":"2024-11-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143118306","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0