Finite Elements in Analysis and Design最新文献_第8页

Thermo-mechanical analyses of masonry structures in fire conditions 火灾条件下砖石结构的热力学分析

IF 3.1 3区工程技术

Finite Elements in Analysis and Design Pub Date : 2024-02-13 DOI: 10.1016/j.finel.2024.104128

Daniele Pellegrini

{"title":"Thermo-mechanical analyses of masonry structures in fire conditions","authors":"Daniele Pellegrini","doi":"10.1016/j.finel.2024.104128","DOIUrl":"https://doi.org/10.1016/j.finel.2024.104128","url":null,"abstract":"<div><p>Historic masonry buildings are highly vulnerable to anthropic actions and environmental factors due to their low tensile strength, and bounded compressive strength. Over the years, numerous studies and experimental campaigns have been conducted to characterise the buildings’ response to external actions and identify solutions for their conservation against multiple factors, such as climatic changes, material ageing and earthquakes. However, the historic masonry structures’ response in case of fire and their safety assessment in post-fire conditions, still needs to be thoroughly investigated both from an experimental and numerical point of view. This paper generalises the constitutive equation of <em>masonry-like</em> (or no-tension) materials under non-isothermal conditions to the case in which the masonry has weak tensile strength and bounded compressive strength, even temperature dependent. The generalised constitutive equation is then implemented in NOSA-ITACA and the explicit solution to the equilibrium problem of a masonry circular ring in plane strain condition is calculated and compared with the numerical solution. Subsequently, the code is used to perform an uncoupled thermo-mechanical analysis of a real case study: a masonry barrel vault tested in fire conditions. The agreement between the experimental and numerical results paves the way for further study and research.</p></div>","PeriodicalId":56133,"journal":{"name":"Finite Elements in Analysis and Design","volume":null,"pages":null},"PeriodicalIF":3.1,"publicationDate":"2024-02-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S0168874X24000222/pdfft?md5=85e75cc07d1634ec96ca17d02d47f20e&pid=1-s2.0-S0168874X24000222-main.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139726104","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

3D orthotropic damage model for the failure analysis of LVL wood truss with steel connector through a regularized extended finite element method 通过正则化扩展有限元法分析带钢连接件的 LVL 木桁架失效的三维正交破坏模型

IF 3.1 3区工程技术

Finite Elements in Analysis and Design Pub Date : 2024-02-10 DOI: 10.1016/j.finel.2024.104125

Elena Benvenuti, Andrea Fabbri, Fabio Minghini, Nicola Orlando, Nerio Tullini

{"title":"3D orthotropic damage model for the failure analysis of LVL wood truss with steel connector through a regularized extended finite element method","authors":"Elena Benvenuti, Andrea Fabbri, Fabio Minghini, Nicola Orlando, Nerio Tullini","doi":"10.1016/j.finel.2024.104125","DOIUrl":"https://doi.org/10.1016/j.finel.2024.104125","url":null,"abstract":"<div><p>Any three-dimensional finite element analysis of the failure of wood trusses necessarily incurs several markedly nonlinear effects, including the co-existence of orthotropic ductile and brittle failure modes depending on entangled tensile, shearing, and compressive stress states, and the mesh dependency inherent in the adoption of softening stress state laws. The complexity of the modelling process is even more severe in the presence of steel connectors. Furthermore, the experimental evidence shows that the failure modes and patterns often vary in a significant way even for the same specimen geometry and in the presence of highly engineered timber because of the persistence of defects and heterogeneities. Therefore, ad hoc computational models should be able to capture this peculiar variability of failure configurations. All these issues are properly tackled by the present nonlinear finite element procedure. The adoption of a regularized extension of the extended finite element method, indeed, allows for transitioning from the continuous interpolation of the displacement field within an orthotropic elastic-damaging material to a regularized discontinuous kinematic description based on a length-enriched extended finite element method. The present formulation is successfully validated by simulating experimental data concerning a set of failure tests on Laminated Veneer Lumber trusses with pulled steel connector.</p></div>","PeriodicalId":56133,"journal":{"name":"Finite Elements in Analysis and Design","volume":null,"pages":null},"PeriodicalIF":3.1,"publicationDate":"2024-02-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S0168874X24000192/pdfft?md5=a6528c2e6737546204fbd630c21ae4bf&pid=1-s2.0-S0168874X24000192-main.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139718430","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

Topology optimization of transient vibroacoustic problems for broadband filter design using cut elements 使用切割元件拓扑优化宽带滤波器设计中的瞬态振动声学问题

IF 3.1 3区工程技术

Finite Elements in Analysis and Design Pub Date : 2024-02-09 DOI: 10.1016/j.finel.2024.104123

Cetin B. Dilgen, Niels Aage

{"title":"Topology optimization of transient vibroacoustic problems for broadband filter design using cut elements","authors":"Cetin B. Dilgen, Niels Aage","doi":"10.1016/j.finel.2024.104123","DOIUrl":"https://doi.org/10.1016/j.finel.2024.104123","url":null,"abstract":"<div><p>The focus of this article is on shape and topology optimization of transient vibroacoustic problems. The main contribution is a transient problem formulation that enables optimization over wide ranges of frequencies with complex signals, which are often of interest in industry. The work employs time domain methods to realize wide band optimization in the frequency domain. To this end, the objective function is defined in frequency domain where the frequency response of the system is obtained through a fast Fourier transform (FFT) algorithm on the transient response of the system. The work utilizes a parametric level set approach to implicitly define the geometry in which the zero level describes the interface between acoustic and structural domains. A cut element method is used to capture the geometry on a fixed background mesh through utilization of a special integration scheme that accurately resolves the interface. This allows for accurate solutions to strongly coupled vibroacoustic systems without having to re-mesh at each design update. The present work relies on efficient gradient based optimizers where the discrete adjoint method is used to calculate the sensitivities of objective and constraint functions. A thorough explanation of the consistent sensitivity calculation is given involving the FFT operation needed to define the objective function in frequency domain. Finally, the developed framework is applied to various vibroacoustic filter designs and the optimization results are verified using commercial finite element software with a steady state time-harmonic formulation.</p></div>","PeriodicalId":56133,"journal":{"name":"Finite Elements in Analysis and Design","volume":null,"pages":null},"PeriodicalIF":3.1,"publicationDate":"2024-02-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S0168874X24000179/pdfft?md5=366e244323e05f0f4f678d590cb405c1&pid=1-s2.0-S0168874X24000179-main.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139719563","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

Shakedown and creep rupture analysis of printed circuit heat exchangers based on the linear matching method framework 基于线性匹配法框架的印刷电路热交换器振动和蠕变断裂分析

IF 3.1 3区工程技术

Finite Elements in Analysis and Design Pub Date : 2024-02-06 DOI: 10.1016/j.finel.2024.104127

Zhiyuan Ma , Zhuojia Fu , Haofeng Chen , Xiaoxiao Wang

{"title":"Shakedown and creep rupture analysis of printed circuit heat exchangers based on the linear matching method framework","authors":"Zhiyuan Ma , Zhuojia Fu , Haofeng Chen , Xiaoxiao Wang","doi":"10.1016/j.finel.2024.104127","DOIUrl":"https://doi.org/10.1016/j.finel.2024.104127","url":null,"abstract":"<div><p>In the field of nuclear engineering, Printed Circuit Heat Exchangers (PCHEs) have become increasingly popular and the structural integrity assessment of these key power plant components is crucial. As part of the structural integrity assessment, creep rupture analysis considers the interaction of cyclic plasticity and creep behaviour, which is vital for components subjected to cyclic thermal-mechanical loads. The Linear Matching Method (LMM) framework has included a creep rupture module based on an extended shakedown algorithm, which has been adopted by several researchers. However, the current LMM framework mainly relies on linear extrapolation and requires users to provide a large amount of data points to estimate the rupture stress. This paper introduces a Unified Creep Rupture Equation (UCRE) for characterizing the creep rupture curves of diverse steel types. The UCRE is implemented in an extended shakedown algorithm and integrated into the LMM framework. The numerical method is validated through a comparative analysis, wherein the estimated rupture curves are compared with those provided in the ECCC data sheet, as well as against alternative numerical models. Shakedown and creep rupture analyses are then performed on a PCHE core. The proposed method facilitates the parametric study of changing materials and the process of material selection. Various geometric configurations are also considered and the proposed unitary cell model is verified by comparing the results with ones from full FE models. The UCRE has been proved to be an accurate engineering tool for the prediction of rupture strengths while the LMM framework has gained improved usability and versatility for engineering applications.</p></div>","PeriodicalId":56133,"journal":{"name":"Finite Elements in Analysis and Design","volume":null,"pages":null},"PeriodicalIF":3.1,"publicationDate":"2024-02-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139694705","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

Numerical investigation of a 3D hybrid high-order method for the indefinite time-harmonic Maxwell problem 针对不定时谐麦克斯韦问题的三维混合高阶方法的数值研究

IF 3.1 3区工程技术

Finite Elements in Analysis and Design Pub Date : 2024-02-06 DOI: 10.1016/j.finel.2024.104124

Matteo Cicuttin , Christophe Geuzaine

{"title":"Numerical investigation of a 3D hybrid high-order method for the indefinite time-harmonic Maxwell problem","authors":"Matteo Cicuttin , Christophe Geuzaine","doi":"10.1016/j.finel.2024.104124","DOIUrl":"https://doi.org/10.1016/j.finel.2024.104124","url":null,"abstract":"<div><p>Hybrid High-Order (HHO) methods are a recently developed class of methods belonging to the broader family of Discontinuous Sketetal methods. Other well known members of the same family are the well-established Hybridizable Discontinuous Galerkin (HDG) method, the nonconforming Virtual Element Method (ncVEM) and the Weak Galerkin (WG) method. HHO provides various valuable assets such as simple construction, support for fully-polyhedral meshes and arbitrary polynomial order, great computational efficiency, physical accuracy and straightforward support for <span><math><mrow><mi>h</mi><mi>p</mi></mrow></math></span>-refinement. In this work we propose an HHO method for the indefinite time-harmonic Maxwell problem and we evaluate its numerical performance. In addition, we present the validation of the method in two different settings: a resonant cavity with Dirichlet conditions and a parallel plate waveguide problem with a total/scattered field decomposition and a plane-wave boundary condition. Finally, as a realistic application, we demonstrate HHO used on the study of the return loss in a waveguide mode converter.</p></div>","PeriodicalId":56133,"journal":{"name":"Finite Elements in Analysis and Design","volume":null,"pages":null},"PeriodicalIF":3.1,"publicationDate":"2024-02-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S0168874X24000180/pdfft?md5=c9653aa53d0bd56f25b149219bf810d3&pid=1-s2.0-S0168874X24000180-main.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139699341","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

A three-field based finite element analysis for a class of magnetoelastic materials 对一类磁弹性材料进行基于三场的有限元分析

IF 3.1 3区工程技术

Finite Elements in Analysis and Design Pub Date : 2024-02-03 DOI: 10.1016/j.finel.2024.104126

Tao Jin

{"title":"A three-field based finite element analysis for a class of magnetoelastic materials","authors":"Tao Jin","doi":"10.1016/j.finel.2024.104126","DOIUrl":"10.1016/j.finel.2024.104126","url":null,"abstract":"<div><p>A simple yet effective material model was proposed by Zhao et al. (2019) and demonstrated to be capable of modeling the shape transformations of various planar and three-dimensional material samples programmed with the so-called “hard-magnetic soft materials”. Based on the aforementioned material model, this paper aims to further accomplish the following two tasks. First, a detailed analysis is performed to investigate the impact of the multiplicative volumetric-distortional split of the deformation gradient tensor applied to the material magnetic energy. Through a trivial boundary value problem, the impact of the volumetric-distortional split is quantified for the strictly incompressible material and the nearly incompressible material, respectively. Second, a finite element procedure based on the three-field variational principle, or the mixed displacement-Jacobian-pressure formulation (Simo et al., 1985; Simo and Taylor, 1991), is developed for the magnetoelastic materials programmed with complex magnetic patterns. Even though the finite element formulation based on the three-field variational principle is a standard and widely adopted technique in the literature, the introduction of the multiplicative split of the deformation gradient into the magnetic energy makes the derivation of the specific finite element terms less trivial. In this work, the finite element formulation and the consistent linearization of the coupled system are derived in detail for the Newton–Raphson iterations. Through the theoretical analysis and numerical examples, the approach based on the distortional part of the deformation gradient is shown to possess computational advantages over its counterpart in the context of a relatively simple penalty method. Moreover, the convergence behaviors of the finite element simulations and the impact of the finite element spaces on the pressure oscillation are analyzed in detail.</p></div>","PeriodicalId":56133,"journal":{"name":"Finite Elements in Analysis and Design","volume":null,"pages":null},"PeriodicalIF":3.1,"publicationDate":"2024-02-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S0168874X24000209/pdfft?md5=39b021e36776b4931dc9f190b3f10d3b&pid=1-s2.0-S0168874X24000209-main.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139670494","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

Automatically approximating the material properties and boundary conditions applied to a axisymmetric thermal analysis of a quasi-axisymmetric component 自动逼近准轴对称部件轴对称热分析所应用的材料特性和边界条件

IF 3.1 3区工程技术

Finite Elements in Analysis and Design Pub Date : 2024-01-26 DOI: 10.1016/j.finel.2024.104122

Jorge Camacho Casero , Trevor T. Robinson , Cecil G. Armstrong , Marco Geron , Céline Douta

{"title":"Automatically approximating the material properties and boundary conditions applied to a axisymmetric thermal analysis of a quasi-axisymmetric component","authors":"Jorge Camacho Casero , Trevor T. Robinson , Cecil G. Armstrong , Marco Geron , Céline Douta","doi":"10.1016/j.finel.2024.104122","DOIUrl":"10.1016/j.finel.2024.104122","url":null,"abstract":"<div><p>This paper describes an innovative method which automatically calculates the material properties and boundary conditions which must be applied to an axisymmetric Finite Element (FE) model of a quasi-axisymmetric component, to account for the fact that some regions in a quasi-axisymmetric model are not fully axisymmetric. The automated process has been implemented using the Application Programming Interface (API) of a commercial FE package and builds on an existing process which automatically creates an axisymmetric FE mesh from a 3D CAD model of a quasi-axisymmetric component. The method is demonstrated for a series of component models. For the thermal analysis of an aerospace turbine rear structure model, the FE model was created from the 3D CAD model in approximately 2 min and gave nodal temperatures within 9% of a 3D FE model.</p></div>","PeriodicalId":56133,"journal":{"name":"Finite Elements in Analysis and Design","volume":null,"pages":null},"PeriodicalIF":3.1,"publicationDate":"2024-01-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S0168874X24000167/pdfft?md5=8ffd35637e909850cc7a64fd25c0456b&pid=1-s2.0-S0168874X24000167-main.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139568206","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

Computation of statistical volume element properties based on a reduced stiffness matrix approach 基于简化刚度矩阵法计算统计体积元素特性

IF 3.1 3区工程技术

Finite Elements in Analysis and Design Pub Date : 2024-01-19 DOI: 10.1016/j.finel.2023.104104

Hyunoh Bae, Katherine Acton

{"title":"Computation of statistical volume element properties based on a reduced stiffness matrix approach","authors":"Hyunoh Bae, Katherine Acton","doi":"10.1016/j.finel.2023.104104","DOIUrl":"https://doi.org/10.1016/j.finel.2023.104104","url":null,"abstract":"<div><p>A statistical approach to modeling heterogeneous material behavior<span><span><span> is necessary to capture local behavior, which profoundly affects such macroscale behaviors as </span>brittle fracture<span><span><span> and wave propagation. The study of mesoscale Statistical Volume Elements (SVE) is complicated by the fact that, by definition, SVE material behavior is non-unique and depends on the boundary conditions applied. The choice of the scale of material evaluation is a significant modeling choice. The benefits of a mesoscale material representation are evident: continuum fields are well-suited to </span>stochastic simulation, and the scale of representation can be controlled, allowing for adaptive changes in </span>mesh density, which is useful for example in fracture modeling. In this work, a method for </span></span>statistical characterization<span> of mesoscale material property behavior will be presented. This method relies on the use of the reduced finite element stiffness matrix for each SVE, which reduces the computational cost. Results demonstrate the accuracy of this technique compared to other methods, particularly a method that uses a Voronoi geometry to avoid SVE boundary intersection with inclusions. In addition to increasing efficiency, the current method does not require SVE geometry to depend on the morphology of the microstructure, making it more generally applicable to any random material morphology.</span></span></p></div>","PeriodicalId":56133,"journal":{"name":"Finite Elements in Analysis and Design","volume":null,"pages":null},"PeriodicalIF":3.1,"publicationDate":"2024-01-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139493919","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

Abaqus implementation of a large family of finite viscoelasticity models 有限粘弹性模型大家族的 Abaqus 实现

IF 3.1 3区工程技术

Finite Elements in Analysis and Design Pub Date : 2024-01-13 DOI: 10.1016/j.finel.2024.104114

Victor Lefèvre , Fabio Sozio , Oscar Lopez-Pamies

{"title":"Abaqus implementation of a large family of finite viscoelasticity models","authors":"Victor Lefèvre , Fabio Sozio , Oscar Lopez-Pamies","doi":"10.1016/j.finel.2024.104114","DOIUrl":"https://doi.org/10.1016/j.finel.2024.104114","url":null,"abstract":"<div><p>In this paper, we introduce an Abaqus UMAT subroutine for a family of constitutive models for the viscoelastic response of isotropic elastomers of any compressibility – including fully incompressible elastomers – undergoing finite deformations. The models can be chosen to account for a wide range of non-Gaussian elasticities, as well as for a wide range of nonlinear viscosities. From a mathematical point of view, the structure of the models is such that the viscous dissipation is characterized by an internal variable <span><math><msup><mrow><mi>C</mi></mrow><mrow><mi>v</mi></mrow></msup></math></span>, subject to the physically-based constraint <span><math><mrow><mo>det</mo><msup><mrow><mi>C</mi></mrow><mrow><mi>v</mi></mrow></msup><mo>=</mo><mn>1</mn></mrow></math></span>, that is solution of a nonlinear first-order ODE in time. This ODE is solved by means of an explicit Runge–Kutta scheme of high order capable of preserving the constraint <span><math><mrow><mo>det</mo><msup><mrow><mi>C</mi></mrow><mrow><mi>v</mi></mrow></msup><mo>=</mo><mn>1</mn></mrow></math></span> identically. The accuracy and convergence of the code is demonstrated numerically by comparison with an exact solution for several of the Abaqus built-in hybrid finite elements, including the simplicial elements C3D4H and C3D10H and the hexahedral elements C3D8H and C3D20H. The last part of this paper is devoted to showcasing the capabilities of the code by deploying it to compute the homogenized response of a bicontinuous rubber blend.</p></div>","PeriodicalId":56133,"journal":{"name":"Finite Elements in Analysis and Design","volume":null,"pages":null},"PeriodicalIF":3.1,"publicationDate":"2024-01-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S0168874X24000088/pdfft?md5=f372bbfab52757f403edb88b52bca4ab&pid=1-s2.0-S0168874X24000088-main.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139434038","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

A user material approach for the solution of multi-field problems in Abaqus: Theoretical foundations, gradient-enhanced damage mechanics and thermo-mechanical coupling 在 Abaqus 中解决多场问题的用户材料方法：理论基础、梯度增强损伤力学和热机械耦合

IF 3.1 3区工程技术

Finite Elements in Analysis and Design Pub Date : 2024-01-12 DOI: 10.1016/j.finel.2023.104105

Lennart Sobisch , Tobias Kaiser , Tim Furlan , Andreas Menzel

{"title":"A user material approach for the solution of multi-field problems in Abaqus: Theoretical foundations, gradient-enhanced damage mechanics and thermo-mechanical coupling","authors":"Lennart Sobisch , Tobias Kaiser , Tim Furlan , Andreas Menzel","doi":"10.1016/j.finel.2023.104105","DOIUrl":"https://doi.org/10.1016/j.finel.2023.104105","url":null,"abstract":"<div><p>The solution of multi-field problems and the numerical implementation by means of the finite element method constitute a sophisticated part of the characterisation of industrial processes. A comprehensive implementation framework for such a system of coupled field equations into a non-linear large strain finite element formulation is provided. The procedure is derived for a micromorphic approach in a thermo-mechanical setting. Although the provided framework contributes to a particular three-field problem it is not limited to a specific application or a specific number of coupled field equations from a conceptual point of view. The solution of the considered system of equations is separated into two coupled domains, with the balance of linear momentum and a balance equation of heat equation-type being solved on each of them. Since both, the balance of micromorphic momentum and the heat balance equation, are partial differential equations of Laplace-type, the resulting two-instance problem can be solved in the framework of commercial finite element software, such as Abaqus, based on a thermo-mechanical user material. To assess the framework for a particular constitutive model, a gradient-enhanced damage model in a thermo-mechanical setting is applied and representative simulation results are discussed. The Abaqus framework is made available as an open-source code on GitHub (<span>https://github.com/InstituteOfMechanics/Thermomechanical_Gradient_Enhanced_Damage_UMAT</span><svg><path></path></svg>).</p></div>","PeriodicalId":56133,"journal":{"name":"Finite Elements in Analysis and Design","volume":null,"pages":null},"PeriodicalIF":3.1,"publicationDate":"2024-01-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S0168874X23001981/pdfft?md5=94ddffaf4007eb71eae36af8c493fe0f&pid=1-s2.0-S0168874X23001981-main.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139433706","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