Article
Engineering, Multidisciplinary
Zeyang Feng, Qinglin Duan, Songtao Chen
Summary: This paper presents an efficient and robust approach in the framework of the finite element method for numerical analysis of crack problems. The discontinuity due to the presence of cracks is described by the technique of phantom nodes. The idea of introducing adaptive mesh refinement along with crack extension into the original phantom node method is presented.
ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS
(2023)
Article
Mechanics
Keisuke Fujita, Hayato Tsuboi, Shoichi Kikuchi
Summary: The effect of grain size on fatigue crack propagation in a CrMnFeCoNi alloy was evaluated. It was found that there were no noticeable differences in fatigue threshold between specimens with fine-grained and coarse-grained structures at low force ratios due to fatigue crack reflection inside coarse grains. Even in the fine-grained specimens, the magnitude of crack closure was high, exceeding that of austenitic stainless steel with the same fine grains. Therefore, the effect of grain size on the threshold stress intensity factor range was not significant in the present CrMnFeCoNi alloy, unlike austenitic stainless steels.
ENGINEERING FRACTURE MECHANICS
(2023)
Article
Chemistry, Multidisciplinary
Abdulnaser M. M. Alshoaibi, Yahya Ali Fageehi
Summary: The research aims to estimate the two-dimensional crack propagation trajectory and its accompanying stress intensity factors (SIFs) using the adaptive finite element method. A developed adaptive finite element code using Visual Fortran language constructs an adaptive mesh structure with the advancing-front method and represents the singularity through construction of quarter-point single elements. An adaptive mesh refinement procedure based on the posteriori norm stress error estimator generates an optimal mesh. The results show that the crack propagates in the direction of the hole due to the unequal stresses at the crack tip caused by the hole's influence, which is consistent with other numerical investigations for predicting crack propagation trajectories and SIFs.
APPLIED SCIENCES-BASEL
(2023)
Article
Chemistry, Physical
Shi Song, Moritz Braun, Bjarne Wiegard, Hauke Herrnring, Soeren Ehlers
Summary: H-adaptivity is an effective tool for introducing local mesh refinement in FEM-based numerical simulations of crack propagation. The h-adaptive element splitting method combines h-adaptivity with element splitting to accurately simulate cracks in large structures and reduce computational resources.
Article
Engineering, Mechanical
C. Bernolin, G. Stamoulis, P. Bidaud, N. Dagorn, W. Albouy, D. Thevenet
Summary: In this study, the crack propagation behavior of an epoxy-based adhesive under cyclic loading was investigated using an Arcan device in the mixed-mode plane I+II. The strain energy release rate (SERR) was calculated through a Finite Element (FE) modeling and inverse identification method. The experimental results showed that under fatigue loading, the crack propagated at a lower SERR value per cycle compared to the critical SERR value calculated under monotonic loads. The evolution of crack propagation rate against SERR was also provided to analyze the effects of mixed-mode ratio on fatigue crack propagation.
FATIGUE & FRACTURE OF ENGINEERING MATERIALS & STRUCTURES
(2023)
Article
Engineering, Mechanical
Chao Wang, Yanguang Sun, Zhengyang Ren
Summary: This paper presents a viscoelastic fatigue and fracture (VEFF) modeling and its preliminary application to asphalt binder under cyclic loading. Both traditional time sweep (TS) fatigue test and linear amplitude sweep (LAS) test are performed. The failure definition is unified from the peak of fracture energy. The binder fatigue performance is dominated by its resistance to crack propagation. A mechanistic criterion paradigm is established to be independent of the strain ramping rate in LAS and strain amplitude in TS tests. The proposed model is verified by various binders, demonstrating the reasonable use of the LAS as an accelerated fatigue protocol.
INTERNATIONAL JOURNAL OF FATIGUE
(2023)
Article
Engineering, Marine
Jingxia Yue, Jiankang Lei, Yordan Garbatov, Ke Yang
Summary: Many studies have found limitations in the linear elastic fracture mechanics method based on the stress intensity factor range, as it neglects the influence of plastic deformation near the crack tip. In this study, a new fracture behavior assessment approach for marine structures is proposed, which uses the crack tip opening displacement range based on elastic-plastic fracture mechanics. The results show that this approach accurately describes crack propagation behavior and has a wider application range compared to traditional models.
JOURNAL OF MARINE SCIENCE AND ENGINEERING
(2022)
Article
Engineering, Mechanical
Koki Tazoe, Genki Yagawa
Summary: The study discusses the simulation of fatigue crack propagation using smoothed particle hydrodynamics for nonplanar crack propagation problems in a three-dimensional body. The proposed algorithm and model successfully matched experimental results, indicating its value in estimating nonplanar fatigue crack propagation in actual mechanical structures.
FATIGUE & FRACTURE OF ENGINEERING MATERIALS & STRUCTURES
(2022)
Article
Materials Science, Multidisciplinary
Nicolas Macallister, Thorsten Hermann Becker
Summary: This study develops a novel numerical fatigue life model for Laser-Based Powder Bed Fusion (LPBF) produced Ti-6Al-4V. The sensitivity of the model to input parameters, short crack growth mechanics, defect morphology, and location is established. The study also introduces the potential for multiple crack initiation sites and crack interaction. The results show that fatigue strength is more sensitive to selected threshold parameters and short crack growth mechanics, and the inclusion of defects as a source of fatigue scatter in LPBF produced Ti-6Al-4V parts is of great importance.
Article
Materials Science, Multidisciplinary
Nicolas Macallister, Thorsten Hermann Becker
Summary: This study establishes a novel numerical fatigue life model for LPBF-produced Ti-6Al-4V, investigating sensitivity to input parameters, short crack growth mechanics, defect morphology, and location. Introduction of multiple crack initiations and interactions highlights the sensitivity of fatigue strength to selected threshold parameters and short crack growth mechanics.
Article
Engineering, Multidisciplinary
Ho Young Kim, Hyun-Gyu Kim
Summary: The article introduces a novel adaptive mesh refinement scheme using trimmed hexahedral (TH) meshes to simulate phase-field fracture in brittle materials. By employing a multithreshold criterion and developing shape functions for transition TH elements, the scheme can accurately capture the evolution of the damage phase field.
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING
(2021)
Article
Engineering, Mechanical
Can Wang, Kaifa Fan, Chao Li, Magd Abdel Wahab
Summary: This paper studies the effect of shot peening residual stress on the initiation and propagation behavior of fretting fatigue cracks. The authors utilize the Critical Plane (CP) method and the Theory of Critical Distance (TCD) to predict the initiation position and lifetime of cracks, and employ Linear Elastic Fracture Mechanics (LEFM) theory and the Extension Maximum Tangential Stress (EMTS) criterion to investigate crack propagation behavior. The results show that these methods can effectively predict fretting fatigue behavior, and the influence of residual stress in these two stages is also examined.
INTERNATIONAL JOURNAL OF FATIGUE
(2023)
Article
Engineering, Multidisciplinary
Vinamra Agrawal, Brandon Runnels
Summary: Fracture is a common phenomenon in most composite engineering structures and is often the responsible mechanism for catastrophic failure. A novel numerical framework for implementing hybrid phase field fracture in heterogeneous materials is proposed in this study, and applied to simple heterogeneous structures such as laminates, wavy interfaces, and circular inclusions. Parameter studies were conducted to identify regions of behavior under varying geometries and relative fracture energy release rates.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2021)
Article
Engineering, Marine
Wentao He, Lingjun Xie, Shuqing Wang, Changzi Wang, Zhiqiang Hu, Jingxi Liu
Summary: This study proposes a general direct calculation approach for fatigue crack growth evaluation and life predictions using spectral-based fracture mechanics method. The approach introduces equivalent damage accumulation rates to describe crack propagation under short-term sea states, integrating wave spectrum and fracture mechanics. A general fatigue crack growth program is integrated to achieve automatic crack growth, stress intensity factor calculation, and fatigue life prediction. The parameters study explores the influence of wave direction and initial crack size/shape on the fatigue performance of the fishing farm platform. The results show that the remaining fatigue life is significantly longer under 90 degrees wave direction than under 0 and 45 degrees. Additionally, it is found that critical fatigue life decreases with increasing crack size and aspect ratio, and fatigue failure is more predominant at lower tubular joints.
Article
Engineering, Mechanical
D. C. van Aswegen, C. Polese
Summary: This paper focuses on the application of Laser Shock Peening (LSP) process to retard fatigue cracks in thin metallic airframe structural panels by creating compressive residual stress fields. Experimental results show that the best configuration, a 15 mm wide LSP region with a 15 mm offset from the crack tip, yielded a fatigue life of more than 6 times the baseline value.
INTERNATIONAL JOURNAL OF FATIGUE
(2021)
Article
Mathematics, Applied
Guo Zheng, Zengqiang Cao, Yuehaoxuan Wang, Reza Talemi
Summary: This study introduces two novel methods for predicting the fatigue response of Dynamic Cold Expansion (DCE) and Static Cold Expansion (SCE) open-hole plates. The accuracy of the prediction is enhanced by considering stress distributions and improving existing methods. The study also discusses the mechanisms behind fatigue life enhancement and fatigue crack propagation modes in cold expansion specimens.
FINITE ELEMENTS IN ANALYSIS AND DESIGN
(2024)
Article
Mathematics, Applied
Eric Heppner, Tomohiro Sasaki, Frank Trommer, Elmar Woschke
Summary: This paper presents a modeling approach for estimating the bonding strength of friction-welded lightweight structures. Through experiments and simulations, a method for evaluating the bonding strength of friction-welded lightweight structures is developed, and the plausibility and applicability of the model are discussed.
FINITE ELEMENTS IN ANALYSIS AND DESIGN
(2024)
Article
Mathematics, Applied
Piermario Vitullo, Alessio Colombo, Nicola Rares Franco, Andrea Manzoni, Paolo Zunino
Summary: Many applications in computational physics involve approximating problems with microstructure, characterized by multiple spatial scales in their data. However, these numerical solutions are often computationally expensive due to the need to capture fine details at small scales. Traditional projection based reduced order models (ROMs) fail to resolve these issues, even for second-order elliptic PDEs commonly found in engineering applications. To address this, we propose an alternative nonintrusive strategy to build a ROM, that combines classical proper orthogonal decomposition (POD) with a suitable neural network (NN) model to account for the small scales.
FINITE ELEMENTS IN ANALYSIS AND DESIGN
(2024)
Article
Mathematics, Applied
Chanh Dinh Vuong, Xiaofei Hu, Tinh Quoc Bui
Summary: In this paper, we present a dynamic description of the smoothing gradient-enhanced damage model for the simulation of quasi-brittle failure localization under time-dependent loading conditions. We introduce two efficient rate-dependent damage laws and various equivalent strain formulations to analyze the complicated stress states and inertia effects of the dynamic regime, enhancing the capability of the adopted approach in modeling dynamic fracture and branching.
FINITE ELEMENTS IN ANALYSIS AND DESIGN
(2024)
Article
Mathematics, Applied
Alexandre D. C. Amaro, A. Francisca Carvalho Alves, F. M. Andrade Pires
Summary: This study focuses on analyzing various deformation mechanisms that affect the behavior of PC/ABS blends using computational homogenization. By establishing a representative microstructural volume element, defining the constitutive description of the material phases, and modeling the interfaces and matrix damage, accurate predictions can be achieved. The findings have important implications for broader applications beyond PC/ABS blends.
FINITE ELEMENTS IN ANALYSIS AND DESIGN
(2024)
Article
Mathematics, Applied
David Hoffmeyer, A. R. Damanpack
Summary: This paper introduces a method for determining all six stress components for a cantilever-type beam that is subjected to concentrated end loads. The method considers an inhomogeneous cross-section and employs cylindrically orthotropic material properties. The efficacy of the method is validated by numerical examples and a benchmark example, and the analysis on a real sawn timber cross-section reveals significant disparities in the maximum stresses compared to conventional engineering approaches.
FINITE ELEMENTS IN ANALYSIS AND DESIGN
(2024)
Article
Mathematics, Applied
Vladimir Stojanovic, Jian Deng, Dunja Milic, Marko D. Petkovic
Summary: The present paper investigates the dynamic analysis of a coupled Timoshenko beam-beam or beam-arch mechanical system with geometric nonlinearities. A modified p-version finite element method is developed for the vibrations of a shear deformable coupled beam system with a discontinuity in an elastic layer. The main contribution of this work is the discovery of coupled effects and phenomena in the simultaneous vibration analysis of varying discontinuity and varying curvature of the newly modelled coupled mechanical system. The analysis results are valuable and have broader applications in the field of solids and structures.
FINITE ELEMENTS IN ANALYSIS AND DESIGN
(2024)
Article
Mathematics, Applied
Gihwan Kim, Phill-Seung Lee
Summary: The phantom-node method is applied in the phase field model for mesh coarsening to improve computational efficiency. By recovering the fine mesh in the crack path domain into a coarse mesh, this method significantly reduces the number of degrees of freedom involved in the computation.
FINITE ELEMENTS IN ANALYSIS AND DESIGN
(2024)
Article
Mathematics, Applied
Souhail Chaouch, Julien Yvonnet
Summary: In this study, an unsupervised machine learning-based clustering approach is developed to reduce the computational cost of nonlinear multiscale methods. The approach clusters macro Gauss points based on their mechanical states, reducing the problem from macro scale to micro scale. A single micro nonlinear Representative Volume Element (RVE) calculation is performed for each cluster, using a linear approximation of the macro stress. Anelastic macro strains are used to handle internal variables. The technique is applied to nonlinear hyperelastic, viscoelastic and elastoplastic composites.
FINITE ELEMENTS IN ANALYSIS AND DESIGN
(2024)
Article
Mathematics, Applied
Hoang-Giang Bui, Jelena Ninic, Christian Koch, Klaus Hackl, Guenther Meschke
Summary: With the increasing demand for underground transport infrastructures, it is crucial to develop methods and tools that efficiently explore design options and minimize risks to the environment. This study proposes a BIM-based approach that connects user-friendly software with effective simulation tools to analyze complex tunnel structures. The results show that modeling efforts and computational time can be significantly reduced while maintaining high accuracy.
FINITE ELEMENTS IN ANALYSIS AND DESIGN
(2024)
Article
Mathematics, Applied
Aslan Nasirov, Xiaoyu Zhang, David Wagner, Saikumar R. Yeratapally, Caglar Oskay
Summary: This manuscript presents an efficient model construction strategy for the eigenstrain homogenization method (EHM) for the reduced order models of the nonlinear response of heterogeneous microstructures. The strategy relies on a parallel, element-by-element, conjugate gradient solver, achieving near linear scaling with respect to the number of degrees of freedom used to resolve the microstructure. The linear scaling in the number of pre-analyses required to construct the reduced order model (ROM) follows from the EHM formulation. The developed framework has been verified using an additively manufactured polycrystalline microstructure of Inconel 625.
FINITE ELEMENTS IN ANALYSIS AND DESIGN
(2024)
Article
Mathematics, Applied
Atticus Beachy, Harok Bae, Jose A. Camberos, Ramana V. Grandhi
Summary: Emulator embedded neural networks leverage multi-fidelity data sources for efficient design exploration of aerospace engineering systems. However, training the ensemble models can be costly and pose computational challenges. This work presents a new type of emulator embedded neural network using the rapid neural network paradigm, which trains near-instantaneously without loss of prediction accuracy.
FINITE ELEMENTS IN ANALYSIS AND DESIGN
(2024)
Article
Mathematics, Applied
Arash Hajisharifi, Michele Girfoglio, Annalisa Quaini, Gianluigi Rozza
Summary: This paper introduces three reduced order models for reducing computational time in atmospheric flow simulation while preserving accuracy. Among them, the PODI method, which uses interpolation with radial basis functions, maintains accuracy at any time interval.
FINITE ELEMENTS IN ANALYSIS AND DESIGN
(2024)
Article
Mathematics, Applied
D. Munoz, S. Torregrosa, O. Allix, F. Chinesta
Summary: The Proper Generalized Decomposition (PGD) is a Model Order Reduction framework used for parametric analysis of physical problems. It allows for offline computation and real-time simulation in various situations. However, its efficiency may decrease when the domain itself is considered as a parameter. Optimal transport techniques have shown exceptional performance in interpolating fields over geometric domains with varying shapes. Therefore, combining these two techniques is a natural choice. PGD handles the parametric solution while the optimal transport-based methodology transports the solution for a family of domains defined by geometric parameters.
FINITE ELEMENTS IN ANALYSIS AND DESIGN
(2024)
Article
Mathematics, Applied
Jothi Mani Thondiraj, Akhshaya Paranikumar, Devesh Tiwari, Daniel Paquet, Pritam Chakraborty
Summary: This study develops a diffused interface CPFEM framework, which reduces computational cost by using biased mesh and provides accurate results using non-conformal elements in the mesh size transiting regions. The accuracy of the framework is confirmed through comparisons with sharp and stepped interface results.
FINITE ELEMENTS IN ANALYSIS AND DESIGN
(2024)