Computational Mechanics最新文献_第3页

Microplasticity in polycrystalline materials from thermal cycling 热循环对多晶材料的微塑性影响

IF 4.1 2区工程技术

Computational Mechanics Pub Date : 2024-07-08 DOI: 10.1007/s00466-024-02522-z

Anderson Nascimento, Akhilesh Pedgaonkar, Curt A. Bronkhorst, Irene J. Beyerlein

{"title":"Microplasticity in polycrystalline materials from thermal cycling","authors":"Anderson Nascimento, Akhilesh Pedgaonkar, Curt A. Bronkhorst, Irene J. Beyerlein","doi":"10.1007/s00466-024-02522-z","DOIUrl":"https://doi.org/10.1007/s00466-024-02522-z","url":null,"abstract":"In this work, we present a finite deformation, fully coupled thermomechanical crystal plasticity framework. The model includes temperature dependence in the kinematic formulation, constitutive law and governing equilibrium equations. For demonstration, we employ the model to study the evolution and formation of residual stresses, residual statistically stored dislocation density and residual lattice rotation due solely to solid state thermal cycling. The calculations reveal the development of microplasticity within the microstructure provided that the temperature change in the thermal cycle is sufficiently large. They also show, for the first time, that the thermal cycling generates an internally evolving strain rate, where the contributions of mechanical strain and plasticity depend on temperature change. The calculations suggest a strong connection between the maximum temperature of a given cycle and the magnitude of the residual stresses generated after the cycle. A pronounced influence of elastic anisotropy on the heterogeneity of the residual stress distribution is also demonstrated here. Finally, we calculate lattice rotation obtained from thermal cycling ranging from (pm 0.4^{circ }) and show the relation between changes in predominant slip systems with short range intragranular lattice rotation gradients. The model can benefit metal process design, especially where large strains and/or large temperature changes are involved, such as bulk forming and additive manufacturing.","PeriodicalId":55248,"journal":{"name":"Computational Mechanics","volume":"21 1","pages":""},"PeriodicalIF":4.1,"publicationDate":"2024-07-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141576692","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

Parameter identification and uncertainty propagation of hydrogel coupled diffusion-deformation using POD-based reduced-order modeling 利用基于 POD 的降阶建模技术识别水凝胶耦合扩散变形的参数并传播其不确定性

IF 4.1 2区工程技术

Computational Mechanics Pub Date : 2024-07-08 DOI: 10.1007/s00466-024-02517-w

Gopal Agarwal, Jorge-Humberto Urrea-Quintero, Henning Wessels, Thomas Wick

引用次数: 0

A stabilised Total Lagrangian Element-Free Galerkin method for transient nonlinear solid dynamics 用于瞬态非线性固体动力学的稳定总拉格朗日无元素伽勒金方法

IF 4.1 2区工程技术

Computational Mechanics Pub Date : 2024-07-03 DOI: 10.1007/s00466-024-02507-y

Hojjat Badnava, Chun Hean Lee, Sayed Hassan Nourbakhsh, Paulo Roberto Refachinho de Campos

{"title":"A stabilised Total Lagrangian Element-Free Galerkin method for transient nonlinear solid dynamics","authors":"Hojjat Badnava, Chun Hean Lee, Sayed Hassan Nourbakhsh, Paulo Roberto Refachinho de Campos","doi":"10.1007/s00466-024-02507-y","DOIUrl":"https://doi.org/10.1007/s00466-024-02507-y","url":null,"abstract":"This paper presents a new stabilised Element-Free Galerkin (EFG) method tailored for large strain transient solid dynamics. The method employs a mixed formulation that combines the Total Lagrangian conservation laws for linear momentum with an additional set of geometric strain measures. The main aim of this paper is to adapt the well-established Streamline Upwind Petrov–Galerkin (SUPG) stabilisation methodology to the context of EFG, presenting three key contributions. Firstly, a variational consistent EFG computational framework is introduced, emphasising behaviours associated with nearly incompressible materials. Secondly, the suppression of non-physical numerical artefacts, such as zero-energy modes and locking, through a well-established stabilisation procedure. Thirdly, the stability of the SUPG formulation is demonstrated using the time rate of Hamiltonian of the system, ensuring non-negative entropy production throughout the entire simulation. To assess the stability, robustness and performance of the proposed algorithm, several benchmark examples in the context of isothermal hyperelasticity and large strain plasticity are examined. Results show that the proposed algorithm effectively addresses spurious modes, including hour-glassing and spurious pressure fluctuations commonly observed in classical displacement-based EFG frameworks.","PeriodicalId":55248,"journal":{"name":"Computational Mechanics","volume":"12 1","pages":""},"PeriodicalIF":4.1,"publicationDate":"2024-07-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141531604","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

Lattice Boltzmann modelling of bacterial colony patterns 细菌菌落模式的晶格玻尔兹曼建模

IF 4.1 2区工程技术

Computational Mechanics Pub Date : 2024-07-03 DOI: 10.1007/s00466-024-02518-9

Alessandro De Rosis, Ajay B. Harish, Weiguang Wang

引用次数: 0

A penalty-based cell vertex finite volume method for two-dimensional contact problems 二维接触问题的基于惩罚的单元顶点有限体积法

IF 4.1 2区工程技术

Computational Mechanics Pub Date : 2024-07-03 DOI: 10.1007/s00466-024-02492-2

Lingkuan Xuan, Chu Yan, Jingfeng Gong, Chenqi Li, HongGang Li

引用次数: 0

Coupling effect of large deformation and surface roughness on dynamic frictional contact behaviors of hyperelastic material 大变形和表面粗糙度对超弹性材料动态摩擦接触行为的耦合效应

IF 4.1 2区工程技术

Computational Mechanics Pub Date : 2024-07-03 DOI: 10.1007/s00466-024-02513-0

Chunfa Wang, Yudong Li, Yan Li, Yajie Fan, Zhiqiang Feng

引用次数: 0

A new paradigm for the efficient inclusion of stochasticity in engineering simulations: Time-separated stochastic mechanics 将随机性有效纳入工程模拟的新范例：分时随机力学

IF 4.1 2区工程技术

Computational Mechanics Pub Date : 2024-07-02 DOI: 10.1007/s00466-024-02500-5

Hendrik Geisler, Cem Erdogan, Jan Nagel, Philipp Junker

{"title":"A new paradigm for the efficient inclusion of stochasticity in engineering simulations: Time-separated stochastic mechanics","authors":"Hendrik Geisler, Cem Erdogan, Jan Nagel, Philipp Junker","doi":"10.1007/s00466-024-02500-5","DOIUrl":"https://doi.org/10.1007/s00466-024-02500-5","url":null,"abstract":"As a physical fact, randomness is an inherent and ineliminable aspect in all physical measurements and engineering production. As a consequence, material parameters, serving as input data, are only known in a stochastic sense and thus, also output parameters, e.g., stresses, fluctuate. For the estimation of those fluctuations it is imperative to incoporate randomness into engineering simulations. Unfortunately, incorporating uncertain parameters into the modeling and simulation of inelastic materials is often computationally expensive, as many individual simulations may have to be performed. The promise of the proposed method is simple: using extended material models to include stochasticity reduces the number of needed simulations to one. This single computation is cheap, i.e., it has a comparable numerical effort as a single standard simulation. The extended material models are easily derived from standard deterministic material models and account for the effect of uncertainty by an extended set of deterministic material parameters. The time-dependent and stochastic aspects of the material behavior are separated, such that only the deterministic time-dependent behavior of the extended material model needs to be simulated. The effect of stochasticity is then included during post-processing. The feasibility of this approach is demonstrated for three different and highly non-linear material models: viscous damage, viscous phase transformations and elasto-viscoplasticity. A comparison to the Monte Carlo method showcases that the method is indeed able to provide reliable estimates of the expectation and variance of internal variables and stress at a minimal fraction of the computation cost.","PeriodicalId":55248,"journal":{"name":"Computational Mechanics","volume":"27 1","pages":""},"PeriodicalIF":4.1,"publicationDate":"2024-07-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141547668","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

Geometry smoothing and local enrichment of the finite cell method with application to cemented granular materials 应用于胶结颗粒材料的有限单元法的几何平滑和局部富集

IF 4.1 2区工程技术

Computational Mechanics Pub Date : 2024-06-26 DOI: 10.1007/s00466-024-02512-1

Mahan Gorji, Michail Komodromos, Wadhah Garhuom, Jürgen Grabe, Alexander Düster

{"title":"Geometry smoothing and local enrichment of the finite cell method with application to cemented granular materials","authors":"Mahan Gorji, Michail Komodromos, Wadhah Garhuom, Jürgen Grabe, Alexander Düster","doi":"10.1007/s00466-024-02512-1","DOIUrl":"https://doi.org/10.1007/s00466-024-02512-1","url":null,"abstract":"In recent times, immersed methods such as the finite cell method have been increasingly employed in structural mechanics to address complex-shaped problems. However, when dealing with heterogeneous microstructures, the FCM faces several challenges. Weak discontinuities occur at the interfaces between the different materials, resulting in kinks in the displacements and jumps in the strain and stress fields. Furthermore, the morphology of such composites is often described by 3D images, such as ones derived from X-ray computed tomography. These images lead to a non-smooth geometry description and thus, singularities in the stresses arise. In order to overcome these problems, several strategies are presented in this work. To capture the weak discontinuities at the material interfaces, the FCM is combined with local enrichment. Moreover, the L(^2)-projection is extended and applied to heterogeneous microstructures, transforming the 3D images into smooth level-set functions. All of the proposed approaches are applied to numerical examples. Finally, an application of cemented granular material is investigated using three versions of the FCM and is verified against the finite element method. The results show that the proposed methods are suitable for simulating heterogeneous materials starting from CT scans.","PeriodicalId":55248,"journal":{"name":"Computational Mechanics","volume":"29 1","pages":""},"PeriodicalIF":4.1,"publicationDate":"2024-06-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141547669","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 biologically-inspired mesh moving method for cyclic motions mesh fatigue 针对循环运动网格疲劳的生物启发网格移动方法

IF 4.1 2区工程技术

Computational Mechanics Pub Date : 2024-06-21 DOI: 10.1007/s00466-024-02514-z

G. E. Carr, N. Biocca, S. A. Urquiza

{"title":"A biologically-inspired mesh moving method for cyclic motions mesh fatigue","authors":"G. E. Carr, N. Biocca, S. A. Urquiza","doi":"10.1007/s00466-024-02514-z","DOIUrl":"https://doi.org/10.1007/s00466-024-02514-z","url":null,"abstract":"Moving boundaries and interfaces are commonly encountered in fluid flow simulations. For instance, fluid–structure interaction simulations require the formulation of the problem in moving and/or deformable domains, making the mesh distortion an issue of concern when it is required to guarantee the accuracy of the numerical model predictions. In addition, traditional elasticity-based mesh motion methods accumulate permanent mesh distortions when cyclic motions occur. In this work, we exploit a biologically-inspired framework for the mesh optimization at the same time it is moved to solve cyclic and nearly cyclic domain motions. Our work is in the framework introduced in Takizawa et al. (Comput Mech 65:1567–1591, 2020) under the name“low-distortion mesh moving method based on fiber-reinforced hyperelasticity and optimized zero-stress state”. This mesh optimization/motion method is inspired by the mechanobiology of soft tissues, particularly those present in arterial walls, which feature an outstanding capacity to adapt to various mechanical stimuli through adaptive mechanisms such as growth and remodeling. This method adopts different reference configurations for each constituent, namely ground substance and fibers. Considering the optimization features of the adopted framework, it performs straightforwardly for cyclic motion with no cycle-to-cycle mesh distortion accumulation. Numerical experiments in both 2D and 3D using simplicial finite element meshes subjected to cyclic loads are reported. The results indicate that BIMO performance is better than the linear-elasticity mesh moving method in all test cases the two methods are compared.","PeriodicalId":55248,"journal":{"name":"Computational Mechanics","volume":"27 1","pages":""},"PeriodicalIF":4.1,"publicationDate":"2024-06-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141547671","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 hybrid-stress formulation based reduced-order method using a solid-shell element for geometrically nonlinear buckling analysis 基于混合应力公式的降阶法，使用固壳元素进行几何非线性屈曲分析

IF 4.1 2区工程技术

Computational Mechanics Pub Date : 2024-06-20 DOI: 10.1007/s00466-024-02511-2

Zheng Li, Ke Liang

{"title":"A hybrid-stress formulation based reduced-order method using a solid-shell element for geometrically nonlinear buckling analysis","authors":"Zheng Li, Ke Liang","doi":"10.1007/s00466-024-02511-2","DOIUrl":"https://doi.org/10.1007/s00466-024-02511-2","url":null,"abstract":"The high computational efficiency of the Koiter reduced-order methods for structural buckling analysis has been extensively validated; however the high-order strain energy variations in constructing reduced-order models is still time-consuming, especially when involving the fully nonlinear kinematics. This paper presents a reduced-order method with the hybrid-stress formulation for geometrically nonlinear buckling analysis. A solid-shell element with Green-Lagrange kinematics is developed for three-dimensional analysis of thin-walled structures, in which the numerical locking is eliminated by the assumed natural strain method and the hybrid-stress formulation. The fourth-order strain energy variation is avoided using the two-field variational principle, leading to a significantly lower computational cost in construction of the reduced-order model. The numerical accuracy of the reduced-order model is not degraded, because the third-order approximation to equilibrium equations is recovered by condensing the stress. Numerical examples demonstrate that although the fourth-order strain energy variation is not involved, the advantage in path-following analysis using large step sizes is not only unaffected, but also enhanced in some cases with respect to the displacement based reduced-order method. The small computational extra-cost for the hybrid-stress formulation is largely compensated by the reduced-order analysis.\u0000","PeriodicalId":55248,"journal":{"name":"Computational Mechanics","volume":"58 1","pages":""},"PeriodicalIF":4.1,"publicationDate":"2024-06-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141547670","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