Article
Engineering, Mechanical
Paolo Livieri, Fausto Segala
Summary: This paper evaluates the stress intensity factor (SIF) of elliptical cracks located at the weld toe by using simplified equations and compares the results with those obtained from the finite elements method. As an example, the SIF of a defect near the weld toe of full penetration cruciform joints under mode I loading is calculated.
THEORETICAL AND APPLIED FRACTURE MECHANICS
(2023)
Article
Engineering, Mechanical
Mads Aursand, Bjorn H. Skallerud
Summary: This study investigates stress intensity factors for surface cracks with different geometries on curved round bars under various mode I stress distributions. Semi-analytical solutions for SIF at any point on the crack front are developed using finite element analysis and linear elastic fracture mechanics methods. Results demonstrate up to 8% difference in SIF values for cracks in curved bars compared to straight bars, with effects of relative bar curvature on numerical results being shown. The estimation of SIFs for cracks in a complex residual stress field is also demonstrated using a cubic polynomial stress approximation with an offshore mooring chain model as a case study.
THEORETICAL AND APPLIED FRACTURE MECHANICS
(2021)
Article
Engineering, Mechanical
Jianwei Huang, Hanbing Wang, Lei Zhou, Zheming Zhu, Ze Deng, An Deng
Summary: This study investigates the stability of cracks in underground caves in karst areas. A model of a plane with an elliptical hole and a single crack under different stresses was established, and theoretical solutions were derived for stress intensity factors. The effects of crack length, ellipse shape, stress, pressure, and inclination angle on the intensity factors were discussed.
THEORETICAL AND APPLIED FRACTURE MECHANICS
(2022)
Article
Engineering, Multidisciplinary
Guizhong Xie, Rongjie Huang, Yunqiao Dong, Hao Li, Ke Li, Yudong Zhong, Xiaoyun Gong, Wenliao Du, Liangwen Wang
Summary: This paper presents an accurate computation method for stress intensity factors (SIFs) of two-dimensional cracks using an interaction integral method combined with special crack tip elements. The method considers the special variation of displacement around the crack tip and applies a general method for singular integrals and nearly singular integrals. The effectiveness of the proposed method is demonstrated through numerical examples.
ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS
(2022)
Article
Physics, Applied
Yasushi Takase, Nao-Aki Noda
Summary: This paper investigates the stress intensity factor (SIF) formula F-ISE along the crack front of a semi-elliptical surface crack, focusing on the SIF ratio F-ISE/F-IE and proposing an accurate and convenient formula by applying the least squares method. The proposed formulas provide accurate SIF distributions for the aspect ratio a/b = 1-4 with better than 0.2% accuracy.
INTERNATIONAL JOURNAL OF MODERN PHYSICS B
(2021)
Article
Engineering, Multidisciplinary
Shuai Zhu, Hongjun Yu, Liulei Hao, Canjie Huang, Zhen Shen, Jianshan Wang, Licheng Guo
Summary: This work establishes a dynamic domain-independent interaction integral (DII-integral) to extract the dynamic intensity factors (IFs) for Magneto-electro-elastic (MEE) materials. The DII-integral method exhibits superiority over available I-integral methods in studying the dynamic fracture of MEE composites with complex interfaces. After verifying its accuracy, the DII-integral method is applied to investigate the dynamic fracture of PE-MEE-PM layered composites.
APPLIED MATHEMATICAL MODELLING
(2023)
Article
Mechanics
Atika Hossain Akhi, Ashutosh Sutra Dhar
Summary: This paper introduces a method for calculating the stress intensity factors (SIFs) of buried cast iron pipes with corrosion and cracks on the exterior surface. It evaluates SIFs for semi-elliptical-shaped defects with various aspect ratios and relative depths under internal pressure and vertical surface loads. The study proposes a simplified method for assessing the SIFs of buried pipes with exterior surface defects.
ENGINEERING FRACTURE MECHANICS
(2021)
Article
Materials Science, Multidisciplinary
Ming Tao, Huatao Zhao, Aliakbar Momeni, Wenzhuo Cao, Yan Zhao
Summary: This research evaluated the damage process and dynamic failure behavior of sandstone rocks containing an elliptical hole. Laboratory tests and numerical simulations were conducted to assess the effect of elliptical hole inclination on the strength and dynamic response of the rocks. The results showed that the rock exhibited the lowest strength when the largest diameter of the hole was perpendicular to the core axis under static and dynamic loading conditions.
INTERNATIONAL JOURNAL OF DAMAGE MECHANICS
(2023)
Article
Mechanics
Wu Xu, Bo Zhang, Xue-Ren Wu
Summary: This paper presents a method for calculating stress intensity factors (SIFs) of eccentric and asymmetric surface cracks and surface-corner cracks at a hole. The method, called the 3D slice synthesis weight function method (SSWFM), provides fast and accurate computation of 3D SIFs, which is useful for analyzing fatigue crack growth in complex surface and corner cracks.
ENGINEERING FRACTURE MECHANICS
(2023)
Article
Materials Science, Multidisciplinary
Kresimir Jukic, Mato Peric, Zdenko Tonkovic, Ivica Skozrit, Tomislav Jarak
Summary: This study investigated the influence of residual stresses induced by buried-arc welding on crack behavior in steel plates through thermal-mechanical simulation and SIF calculation. The results showed good agreement between FE and WF methods for cracks perpendicular to the weld line at small sizes, with increasing deviation as crack size increased.
Article
Engineering, Mechanical
Leandro de Souza Schiara, Amarildo Tabone Paschoalini
Summary: The article discusses the importance of welding connections in mechanical power transmission mechanisms, emphasizing the impact of welding quality on structures, as well as the necessity of using fracture mechanics stress intensity factors for design, inspection, and maintenance. The study found that the boundary element method can simplify modeling for complex geometry.
JOURNAL OF THE BRAZILIAN SOCIETY OF MECHANICAL SCIENCES AND ENGINEERING
(2021)
Article
Engineering, Mechanical
Bin Qiang, Hongkai Qiu, Yadong Li, Xin Wang, Guozheng Kang
Summary: This study derived weight functions for surface cracks in U-rib-to-deck joints, which accurately calculate the stress intensity factors (SIF). Different crack geometries were analyzed using the finite element method (FEM) to determine their effects on SIFs, and new weight functions were developed and validated. The proposed weight functions were able to calculate the SIFs for surface cracks in U-rib-to-deck joints, accounting for welding residual stresses, and were compared to existing methods.
THEORETICAL AND APPLIED FRACTURE MECHANICS
(2023)
Article
Materials Science, Multidisciplinary
Hui Qi, Fuqing Chu, Guangqian Liu, Jing Guo
Summary: The dynamic mechanical properties of piezoelectric materials are of interest due to their brittleness. Previous studies mainly focused on cylindrical cavities or cracks, overlooking other shapes of cavities. This study developed a semi-analytical approach for analyzing the anti-plane dynamics of piezoelectric materials with elliptical cavities by utilizing the geometric generality of ellipses.
MECHANICS OF MATERIALS
(2022)
Article
Engineering, Mechanical
Bo Zhang, Wu Xu, Xue-Ren Wu
Summary: In this paper, the recently developed slice synthesis weight function method is extended to calculate the stress intensity factors of two unsymmetric surface cracks and a combination of surface and corner cracks. The obtained results are compared to limited solutions in the existing literature and extensive finite element analysis, showing good agreements. The present analysis method is much more efficient compared to 3D finite element analysis and enhances the capability of fatigue and fracture analyses for structures with unsymmetric surface and corner cracks at a circular hole.
THEORETICAL AND APPLIED FRACTURE MECHANICS
(2022)
Article
Engineering, Mechanical
Reza Masoudi Nejad, Filippo Berto
Summary: This paper investigates the fatigue life and crack growth retardation of railway wheel specimens due to spectrum loading. Numerical and experimental methods are used to study the behavior of crack growth in the wheel specimens. The stress intensity factor values obtained from boundary element analyses are used to examine crack propagation. The non-linear Kujawski-Ellyin model is adopted for crack propagation under small-scale yielding conditions. The effect of overload ratio and occurrence ratios on fatigue life is investigated.
INTERNATIONAL JOURNAL OF FATIGUE
(2022)
Article
Engineering, Multidisciplinary
Dongliang Ji, Hui Cheng, Hongbao Zhao
Summary: The influence of crystal size on the macroscopic parameters of sandstone samples is studied using a rock model based on the Voronoi tessellated model. It is found that decreasing crystal size results in increased strength and elastic modulus. Strain energy density (SED) is shown to help explain the failure mechanisms of the sandstone samples. A constitutive model that considers the heterogeneity in elastic modulus and rock strength is developed and is in good agreement with experimental results. The study also identifies the triggering of surface damage on slopes by vibration excitation in engineering applications as well as proposes a constitutive model for quantitatively evaluating damage accumulation in mining tunnels.
ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS
(2024)
Article
Engineering, Multidisciplinary
Francesco Tornabene, Matteo Viscoti, Rossana Dimitri
Summary: This manuscript investigates the dynamic properties of doubly-curved shell structures laminated with innovative materials using the Generalized Differential Quadrature (GDQ) method. The displacement field variable follows the Equivalent Single Layer (ESL) approach, and the geometrical description of the structures is distorted by generalized isogeometric blending functions. Through non-uniform discrete computational grid, the fundamental equations derived from the Hamiltonian principle are solved in strong form. Parametric investigations show the influence of material property variation on the modal response of the structures.
ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS
(2024)
Article
Engineering, Multidisciplinary
Duy-Khuong Ly, Ho-Nam Vu, Chanachai Thongchom, Nguyen-Thoi Trung
Summary: This paper presents a novel numerical approach for nonlinear analysis and smart damping control in laminated functionally graded carbon nanotube reinforced magneto-electro-elastic (FG-CNTMEE) plate structures, taking into account multiple physical fields. The approach employs a multi-physical coupling isogeometric formulation to accurately capture the nonlinear strain-displacement relationship and the magneto-electro-elastic coupling properties. The smart constrained layer damping treatment is applied to achieve nonlinear damped responses. The formulation is transformed into the Laplace domain and converted back to the time domain through inverse techniques for smart control using viscoelastic materials.
ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS
(2024)
Article
Engineering, Multidisciplinary
Xiaoyang Xu, Jie Cheng, Sai Peng, Peng Yu
Summary: In this study, a smoothed particle hydrodynamics (SPH) method is developed to simulate viscoelastic fluid flows governed by the Phan-Thien-Tanner (PTT) constitutive equation. The method is validated by comparing its solutions with those obtained by the finite volume method (FVM). The method is also used to simulate the impact behavior and dynamics of a viscoelastic droplet, and the influences of various parameters are investigated. The results demonstrate the accuracy and capability of the SPH method in describing the rheological properties and surface variation characteristics of viscoelastic fluid flows.
ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS
(2024)
Article
Engineering, Multidisciplinary
Xueying Zhang, Yangjiong Wu
Summary: This paper proposes a high resolution strategy for the localized method of approximate particular solutions (LMAPS). The strategy aims to improve the accuracy and stability of numerical calculation by selecting upwind interpolation templates. Numerical results demonstrate that the proposed high-resolution LMAPS is effective and accurate, especially for solving the Navier-Stokes equations with high Reynolds number.
ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS
(2024)
Article
Engineering, Multidisciplinary
Yong-Tong Zheng, Yijun Liu, Xiao-Wei Gao, Yang Yang, Hai-Feng Peng
Summary: Structures with holes are common in engineering applications. Analyzing stress concentration effects caused by holes using FEM or BEM is challenging and time-consuming. This paper proposes improved methods for simulating holes and cylinders, reducing the number of nodes while maintaining stress accuracy. Numerical examples demonstrate the accuracy and efficiency of the proposed methods.
ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS
(2024)
Article
Engineering, Multidisciplinary
Chein-Shan Liu, Chung-Lun Kuo
Summary: The paper presents two new families of fundamental solutions for the 3D Laplace equation and proposes the methods of pseudo fundamental solutions and anisotropic fundamental solutions, which outperform the traditional 3D MFS.
ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS
(2024)
Article
Engineering, Multidisciplinary
Sima Shabani, Miroslaw Majkut, Slawomir Dykas, Krystian Smolka, Esmail Lakzian
Summary: This study validates and simulates steam condensing flows using different condensation models and equations of state, identifying the most suitable model. The results highlight the importance of choosing the appropriate numerical model for accurately predicting steam condensation flows.
ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS
(2024)
Article
Engineering, Multidisciplinary
D. L. Guo, H. H. Zhang, X. L. Ji, S. Y. Han
Summary: In this study, the mechanical behaviors of 2-D orthotropic composites with arbitrary holes were investigated using the numerical manifold method (NMM). The proposed method was verified and found to have good convergence and accuracy. Additionally, the effects of material principal direction and hole configurations on the mechanical behaviors of the orthotropic composites were revealed.
ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS
(2024)
Article
Engineering, Multidisciplinary
Giacomo Rosilho de Souza, Rolf Krause, Simone Pezzuto
Summary: In this paper, we propose a boundary element method for accurately solving the cell-by-cell bidomain model of electrophysiology. The method removes the degeneracy in the system and reduces the number of degrees of freedom. Numerical experiments demonstrate the exponential convergence of our scheme in space and several biologically relevant experiments are provided.
ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS
(2024)
Article
Engineering, Multidisciplinary
Riku Toshimitsu, Hiroshi Isakari
Summary: This study extends a recent paper by Lai et al. (2018) by introducing a novel boundary integral formulation for scalar wave scattering analysis in two-dimensional layered and half-spaces. The modified integral formulation eliminates fictitious eigenvalues and reasonable parameter settings ensure efficient and accurate numerical solutions. The proposed method is demonstrated to be effective through numerical examples.
ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS
(2024)
Article
Engineering, Multidisciplinary
Ebutalib Celik, Merve Gurbuz-Caldag
Summary: In this paper, a new meshless method based on domain decomposition for an L-shaped domain is proposed, which uses RBF-FD formulation at interface points and classical FD in sub-regions to improve the solution accuracy. The proposed numerical method is applied to simulate benchmark results for a divided-lid driven cavity and solve Navier-Stokes equations with Lorentz force term in a single-lid L-shaped cavity exposed to inclined magnetic field, and the flow structure is analyzed in terms of streamline topology under different magnetic field rotations and strengths.
ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS
(2024)
Article
Engineering, Multidisciplinary
Hanqing Liu, Fajie Wang, Lin Qiu, Cheng Chi
Summary: This paper presents a novel method that combines the singular boundary method with the Loop subdivision surfaces for acoustic simulation of complex structures, overcoming technical challenges in handling boundary nodes.
ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS
(2024)