Computational Mechanics最新文献_第7页

An adaptive continuous–discontinuous approach for the analysis of phase field fracture using mesh refinement and coarsening schemes and octree-based trimmed hexahedral meshes 利用网格细化和粗化方案以及基于八面体的修剪六面体网格分析相场断裂的自适应连续-非连续方法

IF 4.1 2区工程技术

Computational Mechanics Pub Date : 2024-04-05 DOI: 10.1007/s00466-024-02472-6

Ho-Young Kim, Hyun-Gyu Kim

引用次数: 0

A hyperelastic extended Kirchhoff–Love shell model with out-of-plane normal stress: II. An isogeometric discretization method for incompressible materials 具有平面外法向应力的超弹性扩展基尔霍夫-洛夫壳模型：II.不可压缩材料的等几何离散化方法

IF 4.1 2区工程技术

Computational Mechanics Pub Date : 2024-04-04 DOI: 10.1007/s00466-024-02445-9

{"title":"A hyperelastic extended Kirchhoff–Love shell model with out-of-plane normal stress: II. An isogeometric discretization method for incompressible materials","authors":"","doi":"10.1007/s00466-024-02445-9","DOIUrl":"https://doi.org/10.1007/s00466-024-02445-9","url":null,"abstract":"<h3>Abstract</h3> This is Part II of a multipart article on a hyperelastic extended Kirchhoff–Love shell model with out-of-plane normal stress. We introduce an isogeometric discretization method for incompressible materials and present test computations. Accounting for the out-of-plane normal stress distribution in the out-of-plane direction affects the accuracy in calculating the deformed-configuration out-of-plane position, and consequently the nonlinear response of the shell. The return is more than what we get from accounting for the out-of-plane deformation mapping. The traction acting on the shell can be specified on the upper and lower surfaces separately. With that, the model is now free from the “midsurface’ location in terms of specifying the traction. In dealing with incompressible materials, we start with an augmented formulation that includes the pressure as a Lagrange multiplier and then eliminate it by using the geometrical representation of the incompressibility constraint. The resulting model is an extended one, in the Kirchhoff–Love category in the degree-of-freedom count, and encompassing all other extensions in the isogeometric subcategory. We include ordered details as a recipe for making the implementation practical. The implementation has two components that will not be obvious but might be critical in boundary integration. The first one is related to the edge-surface moment created by the Kirchhoff–Love assumption. The second one is related to the pressure/traction integrations over all the surfaces of the finite-thickness geometry. The test computations are for dome-shaped inflation of a flat circular shell, rolling of a rectangular plate, pinching of a cylindrical shell, and uniform hydrostatic pressurization of the pinched cylindrical shell. We compute with neo-Hookean and Mooney–Rivlin material models. To understand the effect of the terms added in the extended model, we compare with models that exclude some of those terms.","PeriodicalId":55248,"journal":{"name":"Computational Mechanics","volume":"215 1","pages":""},"PeriodicalIF":4.1,"publicationDate":"2024-04-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140591203","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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 smoothed particle hydrodynamics method for multi-physics simulation of laser powder bed fusion 用于激光粉末床融合多物理场模拟的新型平滑粒子流体力学方法

IF 4.1 2区工程技术

Computational Mechanics Pub Date : 2024-04-04 DOI: 10.1007/s00466-024-02465-5

Yibo Ma, Xu Zhou, Fan Zhang, Christian Weißenfels, Moubin Liu

引用次数: 0

Variational three-field reduced order modeling for nearly incompressible materials 近不可压缩材料的变分三场降阶建模

IF 4.1 2区工程技术

Computational Mechanics Pub Date : 2024-04-01 DOI: 10.1007/s00466-024-02468-2

Muhammad Babar Shamim, Stephan Wulfinghoff

{"title":"Variational three-field reduced order modeling for nearly incompressible materials","authors":"Muhammad Babar Shamim, Stephan Wulfinghoff","doi":"10.1007/s00466-024-02468-2","DOIUrl":"https://doi.org/10.1007/s00466-024-02468-2","url":null,"abstract":"This study presents an innovative approach for developing a reduced-order model (ROM) tailored specifically for nearly incompressible materials at large deformations. The formulation relies on a three-field variational approach to capture the behavior of these materials. To construct the ROM, the full-scale model is initially solved using the finite element method (FEM), with snapshots of the displacement field being recorded and organized into a snapshot matrix. Subsequently, proper orthogonal decomposition is employed to extract dominant modes, forming a reduced basis for the ROM. Furthermore, we efficiently address the pressure and volumetric deformation fields by employing the k-means algorithm for clustering. A well-known three-field variational principle allows us to incorporate the clustered field variables into the ROM. To assess the performance of our proposed ROM, we conduct a comprehensive comparison of the ROM with and without clustering with the FEM solution. The results highlight the superiority of the ROM with pressure clustering, particularly when considering a limited number of modes, typically fewer than 10 displacement modes. Our findings are validated through two standard examples: one involving a block under compression and another featuring Cook’s membrane. In both cases, we achieve substantial improvements based on the three-field mixed approach. These compelling results underscore the effectiveness of our ROM approach, which accurately captures nearly incompressible material behavior while significantly reducing computational expenses.","PeriodicalId":55248,"journal":{"name":"Computational Mechanics","volume":"53 1","pages":""},"PeriodicalIF":4.1,"publicationDate":"2024-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140591221","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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

Proper generalized decomposition-based iterative enrichment process combined with shooting method for steady-state forced response analysis of nonlinear dynamical systems 基于分解的适当广义迭代富集过程与射击法相结合，用于非线性动力系统的稳态强迫响应分析

IF 4.1 2区工程技术

Computational Mechanics Pub Date : 2024-03-22 DOI: 10.1007/s00466-024-02462-8

Dae-Guen Lim, Gil-Yong Lee, Yong-Hwa Park

{"title":"Proper generalized decomposition-based iterative enrichment process combined with shooting method for steady-state forced response analysis of nonlinear dynamical systems","authors":"Dae-Guen Lim, Gil-Yong Lee, Yong-Hwa Park","doi":"10.1007/s00466-024-02462-8","DOIUrl":"https://doi.org/10.1007/s00466-024-02462-8","url":null,"abstract":"This paper presents a novel framework combining proper generalized decomposition (PGD) with the shooting method to determine the steady-state response of nonlinear dynamical systems upon a general periodic input. The proposed PGD approximates the response as a low-rank separated representation of the spatial and temporal dimensions. The Galerkin projection is employed to formulate the subproblem for each dimension, then the fixed-point iteration is applied. The subproblem for the spatial vector can be regarded as computing a set of reduced-order basis vectors, and the shooting problem projected onto the subspace spanned by these basis vectors is defined to obtain the temporal coefficients. From this procedure, the proposed framework replaces the complex nonlinear time integration of the full-order model with the series of solving simple iterative subproblems. The proposed framework is validated through two descriptive numerical examples considering the conventional linear normal mode method for comparison. The results show that the proposed shooting method based on PGD can accurately capture nonlinear characteristics within 10 modes, whereas linear modes cannot easily approximate these behaviors. In terms of computational efficiency, the proposed method enables CPU time savings of about one order of magnitude compared with the conventional shooting methods.","PeriodicalId":55248,"journal":{"name":"Computational Mechanics","volume":"28 1","pages":""},"PeriodicalIF":4.1,"publicationDate":"2024-03-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140200158","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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

Crack nucleation in heterogeneous bars: h- and p-FEM of a phase field model 异质棒材中的裂纹成核：相场模型的 h-FEM 和 p-FEM

IF 4.1 2区工程技术

Computational Mechanics Pub Date : 2024-03-18 DOI: 10.1007/s00466-024-02449-5

Maxime Levy, Francesco Vicentini, Zohar Yosibash

{"title":"Crack nucleation in heterogeneous bars: h- and p-FEM of a phase field model","authors":"Maxime Levy, Francesco Vicentini, Zohar Yosibash","doi":"10.1007/s00466-024-02449-5","DOIUrl":"https://doi.org/10.1007/s00466-024-02449-5","url":null,"abstract":"Failure initiation and subsequent crack trajectory in heterogeneous materials, such as functionally graded materials and bones, are yet insufficiently addressed. The AT1 phase field model (PFM) is investigated herein in a 1D setting, imposing challenges and opportunities when discretized by h- and p-finite element (FE) methods. We derive explicit PFM solutions to a heterogeneous bar in tension considering heterogeneous E(x) and (G_{Ic}(x)), necessary for verification of the FE approximations. (G_{Ic}(x)) corrections accounting for the element size at the damage zone in h-FEMs are suggested to account for the peak stress underestimation. p-FEMs do not require any such corrections. We also derive and validate penalty coefficient for heterogeneous domains to enforce damage positivity and irreversibility via penalization. Numerical examples are provided, demonstrating that p-FEMs exhibit faster convergence rates comparing to classical h-FEMs. The new insights are encouraging towards p-FEM discretization in a 3D setting to allow an accurate prediction of failure initiation in human bones.\u0000","PeriodicalId":55248,"journal":{"name":"Computational Mechanics","volume":"2013 1","pages":""},"PeriodicalIF":4.1,"publicationDate":"2024-03-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140153572","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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 reduced-order computational homogenization framework for locally resonant metamaterial structures 局部谐振超材料结构的降阶计算均质化框架

IF 4.1 2区工程技术

Computational Mechanics Pub Date : 2024-03-18 DOI: 10.1007/s00466-024-02453-9

Andrea Francesco Russillo, Varvara G. Kouznetsova, Giuseppe Failla, Marc G. D. Geers

{"title":"A reduced-order computational homogenization framework for locally resonant metamaterial structures","authors":"Andrea Francesco Russillo, Varvara G. Kouznetsova, Giuseppe Failla, Marc G. D. Geers","doi":"10.1007/s00466-024-02453-9","DOIUrl":"https://doi.org/10.1007/s00466-024-02453-9","url":null,"abstract":"A computational homogenization framework is presented to study the dynamics of locally resonant acoustic metamaterial structures. Modelling the resonant units at the microscale as representative volume elements and building on well-established scale transition relations, the framework brings as a main novelty a reduced-order macroscopic homogenized continuum whose governing equations involve no additional variables to describe the microscale dynamics unlike micromorphic homogenized continua obtained by alternative computational homogenization approaches. This model-order reduction is obtained by formulating the governing equations of the micro- and macroscale problems in the frequency domain, introducing a finite-element discretization of the two problems and performing an exact dynamic condensation of all the degrees of freedom at the microscale. An appropriate inverse Fourier transform approach is implemented on the frequency-domain equations to capture transient dynamics as well; notably, the implementation involves the Exponential Window Method, here applied for the first time to calculate the time-domain response of undamped locally resonant acoustic metamaterial structures. The framework may handle arbitrary geometries of micro- and macro-structures, any transient excitations and any boundary conditions on the macroscopic domain.","PeriodicalId":55248,"journal":{"name":"Computational Mechanics","volume":"119 1","pages":""},"PeriodicalIF":4.1,"publicationDate":"2024-03-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140153627","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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

Virtual clustering analysis for phase field model of quasi-static brittle fracture 准静态脆性断裂相场模型的虚拟聚类分析

IF 4.1 2区工程技术

Computational Mechanics Pub Date : 2024-03-13 DOI: 10.1007/s00466-024-02459-3

Shaoqiang Tang, Jingcheng Miao

引用次数: 0

An aspect ratio dependent lumped mass formulation for serendipity finite elements with severe side-length discrepancy 用于具有严重边长差异的偶然性有限元的与长宽比相关的集合质量公式

IF 4.1 2区工程技术

Computational Mechanics Pub Date : 2024-03-13 DOI: 10.1007/s00466-024-02457-5

Songyang Hou, Xiwei Li, Zhiwei Lin, Dongdong Wang

{"title":"An aspect ratio dependent lumped mass formulation for serendipity finite elements with severe side-length discrepancy","authors":"Songyang Hou, Xiwei Li, Zhiwei Lin, Dongdong Wang","doi":"10.1007/s00466-024-02457-5","DOIUrl":"https://doi.org/10.1007/s00466-024-02457-5","url":null,"abstract":"The frequency solutions of finite elements may significantly deteriorate as the mesh aspect ratios become large, which implies a severe element side-length discrepancy. In this work, an aspect ratio dependent lumped mass (ARLM) formulation is proposed for serendipity elements, i.e., the two-dimensional eight-node and three dimensional twenty-node quadratic elements for linear problems. In particular, a generalized parametric lumped mass matrix template taking into account the mesh aspect ratios is introduced to examine the frequency accuracy of serendipity elements. This generalized lumped mass matrix template completely meets the mass conservation and non-negativity requirements. Subsequently, analytical frequency error estimates are developed for serendipity elements, which clearly illustrate the relationship between the frequency accuracy and element aspect ratios. Accordingly, optimal mass parameters are obtained as the functions of element aspect ratios through solving a constrained optimization problem for frequency accuracy. It turns out that the resulting aspect ratio dependent lumped mass matrices yield much more accurate frequency solutions, in comparison to the diagonal scaling lumped mass (HRZ) matrices and the mid-node lumped mass (MNLM) matrices without consideration of the element aspect ratios, especially for finite element discretizations with severe element side-length discrepancy. The superior accuracy and robustness of the proposed ARLM over HRZ and MNLM are consistently demonstrated by numerical examples.","PeriodicalId":55248,"journal":{"name":"Computational Mechanics","volume":"99 1","pages":""},"PeriodicalIF":4.1,"publicationDate":"2024-03-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140129492","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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

Time domain coupling of the boundary and discrete element methods for 3D problems 三维问题的边界法和离散元法的时域耦合

IF 4.1 2区工程技术

Computational Mechanics Pub Date : 2024-03-11 DOI: 10.1007/s00466-024-02455-7

Guilherme Barros, Andre Pereira, Jerzy Rojek, John Carter, Klaus Thoeni

{"title":"Time domain coupling of the boundary and discrete element methods for 3D problems","authors":"Guilherme Barros, Andre Pereira, Jerzy Rojek, John Carter, Klaus Thoeni","doi":"10.1007/s00466-024-02455-7","DOIUrl":"https://doi.org/10.1007/s00466-024-02455-7","url":null,"abstract":"This paper presents an extension of the authors’ previously developed interface coupling technique for 2D problems to 3D problems. The method combines the strengths of the Discrete Element Method (DEM), known for its adeptness in capturing discontinuities and non-linearities at the microscale, and the Boundary Element Method (BEM), known for its efficiency in modelling wave propagation within infinite domains. The 3D formulation is based on spherical discrete elements and bilinear quadrilateral boundary elements. The innovative coupling methodology overcomes a critical limitation by enabling the representation of discontinuities within infinite domains, a pivotal development for large-scale dynamic problems. The paper systematically addresses challenges, with a focus on interface compatibility, showcasing the method’s accuracy through benchmark validation on a finite rod and infinite spherical cavity. Finally, a model of a column embedded into the ground illustrates the versatility of the approach in handling complex scenarios with multiple domains. This innovative coupling approach represents a significant leap in the integration of DEM and BEM for 3D problems and opens avenues for tackling complex and realistic problems in various scientific and engineering domains.","PeriodicalId":55248,"journal":{"name":"Computational Mechanics","volume":"51 1","pages":""},"PeriodicalIF":4.1,"publicationDate":"2024-03-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140098718","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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