4.7 Article

Determination of NSIFs and coefficients of higher order terms for sharp notches using finite element method

Journal

INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES
Volume 53, Issue 3, Pages 164-177

Publisher

PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.ijmecsci.2010.12.005

Keywords

Sharp notch; Overdeterministic method; Notch Stress Intensity Factor (NSIF); Coefficients of the higher order terms; Finite element analysis; Boundary collocation method

Ask authors/readers for more resources

An overdeterministic method was used for calculating the Notch Stress Intensity Factors (NSIFs) as well as the coefficients of the higher order terms for structures containing sharp notches. The series solution of displacement fields around the notch tip was fitted to a large number of nodal displacements obtained from finite element analysis. An over-determined set of simultaneous linear equations was then derived and the nodal displacements reduced to a small set of unknown coefficients by employing the concept of the least-squares method. The efficiency of the proposed method was assessed through analyzing several notched specimens under pure mode I. pure mode II and mixed modes I/II loading. The accuracy of the NSIFs and the coefficients of higher order terms was evaluated by comparing them with the results available in the literature, or the results obtained by the boundary collocation method. While the presented method is simple, it yields very good results. (C) 2010 Elsevier Ltd. All rights reserved.

Authors

I am an author on this paper
Click your name to claim this paper and add it to your profile.

Reviews

Primary Rating

4.7
Not enough ratings

Secondary Ratings

Novelty
-
Significance
-
Scientific rigor
-
Rate this paper

Recommended

Article Engineering, Geological

True Mode III Fracturing of Rocks: An Axially Double-Edge Notched Brazilian Disk Test

Bahador Bahrami, Morteza Nejati, Majid Reza Ayatollahi, Thomas Driesner

Summary: This paper proposes a new test called ANBD to measure true mode III fracture toughness of rock materials. The test performance was evaluated through experiments on granite samples and the effects of test parameters were investigated. The results demonstrate the effectiveness of the ANBD test and provide insights into the fracture behavior of rock materials.

ROCK MECHANICS AND ROCK ENGINEERING (2022)

Article Engineering, Mechanical

On the role of fracture process zone size in specifying fracturing mechanism under dominant mode II loading

Ali Aminzadeh, Bahador Bahrami, Majid Reza Ayatollahi, Morteza Nejati

Summary: The study shows a tension-based fracturing type prevailing in the DNBD samples of polymethyl-methacrylate (PMMA). A comparison between PMMA and rock samples demonstrates the main reason for the different observed fracturing types.

THEORETICAL AND APPLIED FRACTURE MECHANICS (2022)

Article Materials Science, Multidisciplinary

An analytical stress field for bi-material V-notches with end hole: New solution and effects of higher order terms

Seyed Karen Alavi, Majid R. Ayatollahi, Bahador Bahrami, Morteza Nejati

Summary: This study presents an analytical stress solution for bi-material V-notches with an end hole. The stress field is derived as an asymptotic series solution using the Kolosov-Muskhelishvili approach, with the constant coefficients computed using the least square method. The accuracy of the solution is verified through benchmarking with finite element method results.

MATHEMATICS AND MECHANICS OF SOLIDS (2023)

Article Engineering, Mechanical

On the effects of higher order stress terms in pure mode III loading of bi-material notches

Bahador Bahrami, Majid R. Ayatollahi, Mohammad R. Mehraban, Morteza Nejati, Filippo Berto

Summary: In this study, the effects of higher order terms (HOTs) on the stress distribution near the sharp corner of two bonded dissimilar materials were investigated. The numerical results show that ignoring HOTs can lead to considerable errors in the stress field estimation.

FATIGUE & FRACTURE OF ENGINEERING MATERIALS & STRUCTURES (2022)

Article Materials Science, Multidisciplinary

Mixed-mode fracture prediction of acrylonitrile butadiene styrene material fabricated via fused deposition modeling

S. M. Javad Razavi, Amir Nabavi-Kivi, Majid R. Ayatollahi

Summary: Fused deposition modeling is an additive manufacturing technique used for rapid manufacturing and prototyping. However, the layer-wise fabrication process often leads to anisotropic behavior in the final products. This research aims to determine whether the isotropic assumption of material using maximum tangential stress and mean stress criteria can predict the mixed-mode fracture resistance of 3D-printed parts. The results show that both criteria can accurately predict the fracture loads of the fused deposition modeling parts.

PROCEEDINGS OF THE INSTITUTION OF MECHANICAL ENGINEERS PART L-JOURNAL OF MATERIALS-DESIGN AND APPLICATIONS (2023)

Article Engineering, Mechanical

On the applicability of digital image correlation method in extracting the higher order terms in stress field around blunt notches

S. Karen Alavi, M. R. Ayatollahi, Jamaloddin Jamali, Michal Petru

Summary: This article experimentally investigates the stress field around various blunt notches using the digital image correlation method. The effects of geometry parameters on stress distribution are discussed, and the accuracy of calculated notch stress intensity factors and HOTs coefficients are studied by comparing with finite element analysis results.

THEORETICAL AND APPLIED FRACTURE MECHANICS (2022)

Article Engineering, Mechanical

Heat treatment effects on fracture resistance of additively manufactured PLA specimens under mode I loading

Majid R. R. Ayatollahi, Parham Rezaeian, Amir Nabavi-Kivi, Mohammad Reza Khosravani

Summary: This study investigates the effect of heat treatment on the tensile, flexural, and fracture strength of PLA specimens made by the FDM technique. Annealing at different temperatures (80℃, 100℃, 120℃) was conducted on dog bone and ECT specimens to evaluate the mechanical and fracture performance of the FDM-PLA parts. Fracture behavior was assessed using EMC, J-integral, ASED, and MTS criteria, and compared with experimental results. Heat treatment significantly improved the structural integrity of FDM specimens, with a 57% increase in fracture resistance.

FATIGUE & FRACTURE OF ENGINEERING MATERIALS & STRUCTURES (2023)

Article Chemistry, Physical

Impact Fatigue Life of Adhesively Bonded Composite-Steel Joints Enhanced with the Bi-Adhesive Technique

Alireza Akhavan-Safar, Ghasem Eisaabadi Bozchaloei, Shahin Jalali, Reza Beygi, Majid R. Ayatollahi, Lucas F. M. da Silva

Summary: Repeated impact is a common loading condition for bonded joints. However, the behavior of metal-composite bonded joints under repeated impact loads has not been widely studied. This study proposes the use of bi-adhesive technique to improve the durability of composite-metal joints under impact fatigue. Experimental and numerical analyses reveal that the double adhesives technique significantly enhances the impact fatigue life of the joints.

MATERIALS (2023)

Article Mechanics

Investigating the effect of raster orientation on fracture behavior of 3D-printed ABS specimens under tension-tear loading

A. Nabavi-Kivi, Majid R. Ayatollahi, Nima Razavi

Summary: This study investigates the fracture behavior of FDM specimens made of ABS under mixed-mode I/III loading conditions. Four different raster configurations and five loading angles were used, and the failure loads were predicted using the Equivalent Material Concept coupled with J-integral and Maximum Tangential Stress criteria. Both criteria were able to accurately predict the experimental failure loads, and SEM analysis confirmed the presence of three failure features.

EUROPEAN JOURNAL OF MECHANICS A-SOLIDS (2023)

Article Engineering, Mechanical

A novel test specimen for mixed mode I/II/III fracture study in brittle materials

Reza Jalayer, Behnam Saboori, Majid Reza Ayatollahi

Summary: A new test specimen is proposed for investigating mixed mode I/II/III fracture of materials. This test specimen creates mixed mode I/III loading conditions by displacing the position of an inclined crack from the middle of the rectangular specimen, in addition to mode II loading under anti-symmetric four-point bending. The experimental fracture loads of PMMA specimens are compared with theoretical predictions, showing satisfactory consistency.

FATIGUE & FRACTURE OF ENGINEERING MATERIALS & STRUCTURES (2023)

Article Engineering, Mechanical

Artificial neural network in prediction of mixed-mode I/II fracture load

Bahador Bahrami, Hossein Talebi, Majid R. Ayatollahi, Mohammad Reza Khosravani

Summary: This research demonstrates the application of artificial neural network (ANN) in predicting fracture under mixed-mode I/II loadings. By analyzing the importance of different input factors, crack parameters and material properties are selected as input data. Multiple ANN models are trained and optimized using different algorithms. The optimized models show low errors and high accuracy in predicting fracture, indicating the effectiveness and potential wide range application of data-driven fracture predictions compared to traditional physics-based criteria.

INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES (2023)

Article Materials Science, Composites

Cyclic aging analysis of CFRP and GFRP composite laminates

Mostafa Moazzami, M. R. Ayatollahi, Alireza Akhavan-Safar, Sofia Teixeira de Freitas, Lucas F. M. da Silva

Summary: Moisture diffusion occurs in composite laminates when exposed to humidity, leading to a reduction in their mechanical properties, especially flexural stiffness, which is important in design. This research investigates the mechanical properties of CFRP and GFRP composites as a substrate in adhesive joints under cyclic wet/dry aging conditions for long-term structural applications. The results show that the reduction in flexural stiffness is more severe in CFRP laminates compared to GFRP laminates, indicating the suitability of GFRP laminates for ocean applications.

JOURNAL OF COMPOSITE MATERIALS (2023)

Article Engineering, Civil

On the asymmetric dynamic response of viscoelastic sector plate made of FG polymer foam

S. Karen Alavi, Majid R. Ayatollahi, Mohd Yazid Yahya, S. S. R. Koloor

Summary: This work presents an analytical investigation of the damped forced vibration behavior of viscoelastic annular sector plates made of porous polymer foam. The motion equations are derived using the first-order shear deformation theory (FSDT) in conjunction with the energy method and calculus of variations. Three types of pore distribution in the plate thickness are explored, and the obtained relations are extended to constitutive equations using the standard linear solid (SLS) viscoelastic model. The system of equations with variable coefficients is solved using perturbation technique and Fourier series, and the asymmetrically dynamic response is computed analytically in a closed-form solution. Transient dynamic behavior of viscoelastic functionally graded porous (VFGP) annular sector plates is then analyzed for various loadings, and a user-defined field code is developed for reliability evaluation.

THIN-WALLED STRUCTURES (2023)

Article Polymer Science

VO-Notches Subjected to Tension-Torsion Loading: Experimental and Theoretical Fracture Study on Polymeric Samples

Hossein Talebi, Mohsen Askari, Majid Reza Ayatollahi, Sergio Cicero

Summary: The research investigates the fracture behavior of brittle specimens weakened by V-shaped notches with end holes (VO-notches). Experimental investigation is conducted, and it is found that the size of the notch end-hole has an effect on the fracture resistance. Two stress-based criteria, the maximum tangential stress (MTS) criterion and the mean stress (MS) criterion, are developed for VO-shaped notches under mixed-mode I/III loading, and they accurately predict the fracture resistance of VO-notched samples with about 92% and 90% accuracy, respectively.

POLYMERS (2023)

Article Engineering, Chemical

Effects of low cycle impact fatigue on the residual mode II fracture energy of adhesively bonded joints

A. Akhavan-Safar, Sh. Jalali, L. F. M. da Silva, M. R. Ayatollahi

Summary: Cyclic loading significantly affects the durability of adhesively bonded joints, especially under cyclic impact loads. Low-energy cyclic impacts decrease the fracture energy of the joints, challenging the assumption of infinite life under cyclic impacts. The stress concentration caused by cyclic impact stress waves leads to a higher density of cracks at the specimen edges. Comprehensive inspections for bonded structures exposed to low-energy cyclic impacts are important to maintain joint strength and safe design and inspection practices.

INTERNATIONAL JOURNAL OF ADHESION AND ADHESIVES (2023)

Article Engineering, Mechanical

Multifield asymptotic homogenization for periodic materials in non-standard thermoelasticity

Rosaria Del Toro, Maria Laura De Bellis, Marcello Vasta, Andrea Bacigalupo

Summary: This article presents a multifield asymptotic homogenization scheme for analyzing Bloch wave propagation in non-standard thermoelastic periodic materials. The proposed method derives microscale field equations, solves recursive differential problems within the unit cell, establishes a down-scaling relation, and obtains average field equations. The effectiveness of this approach is validated by comparing dispersion curves with those from the Floquet-Bloch theory.

INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES (2024)

Article Engineering, Mechanical

Ultra-broadband gaps of a triple-gradient phononic acoustic black hole beam

Yue Bao, Zhengcheng Yao, Yue Zhang, Xueman Hu, Xiandong Liu, Yingchun Shan, Tian He

Summary: This paper proposes a novel triple-gradient phononic acoustic black hole (ABH) beam that strategically manipulates multiple gradients to enhance its performance. The study reveals that the ABH effect is not solely brought about by the thickness gradient, but also extends to the power-law gradients in density and modulus. The synergistic development of three different gradient effects leads to more pronounced and broader bandgaps in PCs.

INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES (2024)

Article Engineering, Mechanical

Integrating multiple samples into full-field optimization of yield criteria

Matthias Ryser, Jason Steffen, Bekim Berisha, Markus Bambach

Summary: This study investigates the feasibility of replacing complex experiments with multiple simpler ones to determine the anisotropic yielding behavior of sheet metal. The results show that parameter identifiability and accuracy can be achieved by combining multiple specimen geometries and orientations, enhancing the understanding of the yield behavior.

INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES (2024)

Article Engineering, Mechanical

A novel two-dimensional non-contact platform based on near-field acoustic levitation

Wenjun Li, Pengfei Zhang, Siyong Yang, Shenling Cai, Kai Feng

Summary: This study presents a novel two-dimensional non-contact platform based on Near-field Acoustic Levitation (NFAL), which can realize both one-dimensional and two-dimensional transportation. Numerical and experimental results prove the feasibility and ease of this method.

INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES (2024)

Article Engineering, Mechanical

A conjugated bond-based peridynamic model for laminated composite materials

Shuo Liu, Lu Che, Guodong Fang, Jun Liang

Summary: This study presents a novel lamina conjugated bond-based peridynamic (BB-PD) model that overcomes the limitations of material properties and is applicable to composite laminates with different stacking sequences. The accuracy and applicability of the model are validated through simulations of elastic deformation and progressive damage behavior, providing an explanation of the damage modes and failure mechanisms of laminated composite materials subjected to uniaxial loading.

INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES (2024)

Article Engineering, Mechanical

Effective elastic properties of sandwich-structured hierarchical honeycombs: An analytical solution

Omar El-Khatib, S. Kumar, Wesley J. Cantwell, Andreas Schiffer

Summary: Sandwich-structured honeycombs (SSHCs) are hierarchical structures with enhanced mass-specific properties. A model capable of predicting the elastic properties of hexagonal SSHCs is presented, showing superior in-plane elastic and shear moduli compared to traditional honeycombs, while the out-of-plane shear moduli are reduced.

INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES (2024)

Article Engineering, Mechanical

Energy-based performance prediction for metals in powder bed fusion

Zhi-Jian Li, Hong-Liang Dai, Yuan Yao, Jing-Ling Liu

Summary: This paper proposes a process-performance prediction model for estimating the yield strength and ultimate tensile strength of metallic parts fabricated by powder bed fusion additive manufacturing. The effect of main process variables on the mechanical performance of printed metallic parts is analyzed and the results can serve as a guideline for improvement. The accuracy of the proposed model is validated by comparison with literature.

INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES (2024)

Article Engineering, Mechanical

Oscillation of an ultrasonically driven gas bubble in an asymmetric confined domain

Saman A. Bapir, Kawa M. A. Manmi, Rostam K. Saeed, Abdolrahman Dadvand

Summary: This study numerically investigates the behavior of an ultrasonically driven gas bubble between two parallel rigid circular walls with a cylindrical micro-indentation in one wall. The primary objective is to determine the conditions that facilitate the removal of particulate contamination from the indentation using the bubble jet. The study found that the bubble jet can effectively remove contamination from the indentation for certain ranges of indentation diameter, but becomes less effective for larger indentation diameters.

INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES (2024)

Article Engineering, Mechanical

Analytical probabilistic progressive damage modeling of single composite filaments of material extrusion

E. Polyzos, E. Vereroudakis, S. Malefaki, D. Vlassopoulos, D. Van Hemelrijck, L. Pyl

Summary: This research investigates the elastic and damage characteristics of individual composite beads used in 3D printed composites. A new analytical probabilistic progressive damage model (PPDM) is introduced to capture the elastic and damage attributes of these beads. Experimental results show strong agreement with the model in terms of elastic behavior and ultimate strength and strain.

INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES (2024)