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
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
Engineering, Multidisciplinary
Rafael M. Lins, Gabriela M. Fonseca, Felicio B. Barros
Summary: An efficient improvement for calculating Stress Intensity Factors (SIFs) is proposed for two-dimensional fracture mechanics problems, which significantly improves the accuracy and ensures path independence.
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING
(2023)
Article
Engineering, Mechanical
Omar Tabaza, Hiroshi Okada, Yasunori Yusa
Summary: This paper discusses several formulations for the interaction integral of functionally graded materials, including both existing formulations in the literature and newly proposed formulations. The focus is on deriving the interaction integral expressions in the form of domain integrals based on the assumptions of elastic constants. Mode I and mixed-mode crack problems of functionally graded materials are presented, and the accuracies of the stress intensity factors computed by the presented interaction integrals are critically compared. It was found that all the SIFs computed by the presented formulations are equally accurate.
THEORETICAL AND APPLIED FRACTURE MECHANICS
(2022)
Article
Mechanics
Shuai Zhu, Hongjun Yu, Liulei Hao, Biao Wang, Yuning Yang, Kai Huang, Zhixing Li, Licheng Guo
Summary: Dynamic intensity factors are crucial parameters for understanding and predicting the dynamic fracture behavior of piezoelectric composites. A domain-independent interaction integral is developed to extract these factors. Numerical simulations show that the amplitudes of the dynamic intensity factors decrease with larger piezoelectric particle sizes and crack damage is prevented as the number of piezoelectric particles increases.
COMPOSITE STRUCTURES
(2023)
Article
Mechanics
Srinivasu Chadaram, Saurabh Kumar Yadav
Summary: The study uses the XFEM approach to investigate the effect of poling direction and thermal fracture analysis of penny-shaped crack in piezoelectric materials under uniform temperature and steady-state heat flow. It reveals that the thermal stress intensity factors and electrical displacement intensity factors of the crack are significantly influenced by the applied temperature field and the thermo-electro-mechanical properties of the piezoelectric material.
ENGINEERING FRACTURE MECHANICS
(2021)
Article
Engineering, Mechanical
Ming-Jyun Dai, Satoyuki Tanaka, Selda Oterkus, Erkan Oterkus
Summary: The newly developed PD shell model is used to evaluate SIFs under in-plane loading based on the ordinary state-based peridynamic theory. The approach employs peridynamic differential operator to obtain strain and stress components, uses domain form of interaction integral for mixed-mode SIFs evaluation, and adapts dynamic relaxation technique for steady-state solutions. Various numerical examples are considered and compared with reference results to demonstrate accuracy and effectiveness. The study aims to examine PD shell model performance in linear elastic fracture mechanics and provides an effective approach for SIFs evaluation.
THEORETICAL AND APPLIED FRACTURE MECHANICS
(2021)
Article
Mechanics
Huachao Deng, Bo Yan, Tomonaga Okabe
Summary: This study proposes a new interaction integral method for computing stress intensity factors in cracked homogeneous and non-homogeneous materials under dynamic loading. The method is theoretically proven to be path-independent and not dependent on material property derivatives. Additionally, a local refinement technique is introduced to improve the accuracy of the extended finite element method.
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES
(2022)
Article
Engineering, Multidisciplinary
Hongjun Yu, Minghui Zhao, Xiaorong Wu, Licheng Guo
Summary: This study investigates the influences of crack-face electric boundary conditions on domain switching and stress intensity factors (SIFs) of ferroelectric materials through the development of an I-integral method. The domain evolution process can be divided into three stages, with nearly linear variation of the mode-I SIF in each stage. Additionally, the SIFs differ under different crack-face electric boundary conditions.
APPLIED MATHEMATICAL MODELLING
(2022)
Article
Engineering, Mechanical
Shuai Zhu, Hongjun Yu, Xiaorong Wu, Liulei Hao, Zhen Shen, Jianshan Wang, Licheng Guo
Summary: The dynamic fracture behaviors of piezoelectric materials were studied and a method for evaluating dynamic intensity factors was established. The method can effectively calculate the dynamic intensity factors of piezoelectric materials with complicated interfaces. Numerical simulations showed that the amplitudes of the dynamic intensity factors and electric displacement intensity factors are influenced by the polarization direction, density, dielectric permittivity, and piezoelectric coefficient.
THEORETICAL AND APPLIED FRACTURE MECHANICS
(2022)
Article
Mechanics
Andres M. Aguirre-Mesa, Sara Restrepo-Velasquez, Daniel Ramirez-Tamayo, Arturo Montoya, Harry Millwater
Summary: The well-known interaction integral, or M-integral, is used to calculate the derivatives of stress intensity factors (SIFs) with respect to the crack extensions for a linear elastic material under static loading. The derivatives are computed using the complex Taylor series expansion (CTSE) and the hypercomplex-variable finite element method (ZFEM). This method can be easily extended to different loading scenarios and material models. The implementation of the complex-variable M-integral in Abaqus demonstrates its high accuracy.
ENGINEERING FRACTURE MECHANICS
(2023)
Article
Engineering, Civil
Jin-Rae Cho
Summary: This paper presents the numerical evaluation of stress intensity factors (SIFs) for functionally graded CNT-reinforced composite (FG-CNTRC) plates. The effects of CNT volume fraction distribution on SIFs are investigated.
KSCE JOURNAL OF CIVIL ENGINEERING
(2022)
Article
Engineering, Mechanical
Shuting Miao, Peng-Zhi Pan, Wenbo Hou, Mei Li, Zhenhua Wu
Summary: Static fracture testing was conducted on ISRM-suggested semi-circular bend specimens using the digital image correlation technique. Two displacement-based methods were employed to measure the fracture toughness of different rocks and their effectiveness was verified with synthetic images. The results showed that the displacement-based methods provide reliable fracture toughness results and have the ability to consider the existence of the fracture process zone above the notch tip.
THEORETICAL AND APPLIED FRACTURE MECHANICS
(2022)
Article
Materials Science, Multidisciplinary
Ranjan Kumar Mishra, G. Y. Sandesh Reddy
Summary: This study presents a numerical simulation of permeable, semi-permeable, and impermeable crack interactions in 2D piezoelectric domains using EFGM, considering various factors such as electrical loading, crack surface boundary conditions, crack orientation angles, aspect ratio, and number of cracks. Multiple inclined equidistant cracks were analyzed under different boundary conditions to evaluate the fracture parameters accurately using the proposed enrichment criterion, demonstrating the robustness, efficacy, and applicability of the EFGM approach.
MECHANICS OF ADVANCED MATERIALS AND STRUCTURES
(2022)
Article
Materials Science, Multidisciplinary
Ranjan Kumar Mishra
Summary: This work analyzes interfacial crack in piezoelectrics bimaterial plate under electromechanical loading environment using extended isogeometric analysis (XIGA) approach with Bezier extraction of NURBS. The study implements asymptotic crack-tip branch functions and discontinuous Heaviside function for capturing singularity at cracktip and discontinuity across surfaces of a crack. The results are validated and numerical problems are solved to calculate fracture parameters in terms of normalized intensity factors with respect to shear loads, electrical loads, crack orientation angle, and angle of polarization.
MECHANICS OF ADVANCED MATERIALS AND STRUCTURES
(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)
