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Journal articles on the topic 'Calculation of strain energy release rate'

Author: Grafiati

Published: 3 June 2025

Last updated: 31 July 2025

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1

Zhao, Jin Fang, and Qun Zhao. "Typical Calculation Method of Stress Intensity Factors and Crack Growth Criterions on Infinite Plate Containing Hole-Edge Cracks." Advanced Materials Research 568 (September 2012): 154–58. http://dx.doi.org/10.4028/www.scientific.net/amr.568.154.

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This paper introduces a finite element analysis software FRANC2D/L to calculate the stress intensity factor (SIF) and simulate the crack growth. Samples with infinite plate containing center crack, one hole-edge crack and two symmetrical hole-edge cracks were analyzed by this software. Comparing the SIF calculation results of the three samples based on displacement correlation method, J-integral method and virtual crack closure integral method, the results show that the three methods are all suitable for calculating the SIF problems, and the calculation precision of J-integral method and virtu

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2

Zheng, Weiling, and Christos Kassapoglou. "Energy method for the calculation of the energy release rate of delamination in composite beams." Journal of Composite Materials 53, no. 4 (2018): 425–43. http://dx.doi.org/10.1177/0021998318785952.

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An energy method based on beam theory is proposed to determine the strain energy release rate of an existing crack in composite laminates. The developed analytical method was implemented in isotropic materials, and the obtained strain energy release rate of a crack was validated by reference results and finite element solutions. The general behavior of crack growth on the left or right crack tip was evaluated, and basic trends leading to crack propagation to one side of the crack were established. A correction factor was introduced to improve the accuracy of the strain energy release rate for

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3

LU, Zhiguo, Wenjun JU, Fuqiang GAO, et al. "A New Bursting Liability Evaluation Index for Coal –The Effective Elastic Strain Energy Release Rate." Energies 12, no. 19 (2019): 3734. http://dx.doi.org/10.3390/en12193734.

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Because both faults and cleats exist in coal, sharp stress drops occur during loading when coal is deformed. These drops occur during the pre-peak stage and are accompanied by sudden energy releases. After a stress drop, the stress climbs slowly following a zigzag path and the energy accumulated during the pre-peak stage is unstable. A stress–strain curve is the basic tool used to evaluate the bursting liability of coal. Based on energy accumulation in an unsteady state, the pre-peak stress–strain curve is divided into three stages: pre-extreme, stress drop, and re-rising stage. The energy evo

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4

Cheng, Chen, and Shui Wan. "Based on ANSYS the Application of Virtual Crack Close Technique in the Calculation of Strain Energy Release Rate in Interface Crack." Applied Mechanics and Materials 178-181 (May 2012): 2444–50. http://dx.doi.org/10.4028/www.scientific.net/amm.178-181.2444.

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Computation of the energy release rate, based on the FEA software ANSYS, with the virtual crack close technique, is studied. To reduce post-processing workload, the spring element is imposed at the cracktip. In practical applications, COMBIN14 spring elements are adopted to set up the finite element model. Then, the numerical analysis method is applied in interface crack. But the calculaed strain energy release rates are pseudo values, and only the total strain energy release rate convergences. At last, two numerical experiments are presented to validate this method. The results show that the

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5

Liu, Yinghonglin, Jiang Peng, Wei Li, Chang Yang, Ping Sun, and Xiaowei Yan. "Predicting the Delamination Mechanisms of Multidirectional Laminates Using the Energy Release Rate Obtained from AE Monitoring." Materials Evaluation 80, no. 1 (2022): 34–47. http://dx.doi.org/10.32548/10.32548/2022.me-04254.

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This study investigates delamination damage mechanisms during the double cantilever beam standard test using the strain energy release rate. The acoustic emission parameter is used to replace the original calculation method of measuring crack length to predict delamination. For this purpose, 24-layer glass/epoxy multidirectional specimens with different layups, and interface orientations of 0°, 30°, 45°, and 60°, were fabricated based on ASTM D5528 (2013). Acoustic emission testing (AE) is used to detect the damage mechanism of composite multidirectional laminates (combined with microscopic re

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6

Liu, Yinghonglin, Peng Jiang, Wei Li, Chang Yang, Ping Sun, and Xiaowei Yan. "Predicting the Delamination Mechanisms of Multidirectional Laminates Using the Energy Release Rate Obtained from AE Monitoring." Materials Evaluation 80, no. 1 (2022): 34–47. http://dx.doi.org/10.32548/2022.me-04254.

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This study investigates delamination damage mechanisms during the double cantilever beam standard test using the strain energy release rate. The acoustic emission parameter is used to replace the original calculation method of measuring crack length to predict delamination. For this purpose, 24-layer glass/epoxy multidirectional specimens with different layups, and interface orientations of 0°, 30°, 45°, and 60°, were fabricated based on ASTM D5528 (2013). Acoustic emission testing (AE) is used to detect the damage mechanism of composite multidirectional laminates (combined with microscopic re

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7

Pandey, R. K., and C. T. Sun. "Calculating Strain Energy Release Rate in Cracked Orthotropic Beams." Journal of Thermoplastic Composite Materials 9, no. 4 (1996): 381–95. http://dx.doi.org/10.1177/089270579600900406.

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8

LeFort, P., H. G. deLorenzi, V. Kumar, and M. D. German. "Virtual Crack Extension Method for Energy Release Rate Calculations in Flawed Thin Shell Structures." Journal of Pressure Vessel Technology 109, no. 1 (1987): 101–7. http://dx.doi.org/10.1115/1.3264840.

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The calculation of the energy release rate, G, by the virtual crack extension method has been used extensively in the literature over the last few years. A formulation and implementation of the energy release rate for use with 8 and 9-noded isoparametric thin shell elements is described in this paper. The representation used in the paper allows the calculation of G either as an integral part of a finite element analysis or separately in a postprocessing program using the stress and strain data from a finite element analysis as input. The results presented in the paper are compared with those p

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9

Long, Teng, Leyu Wang, James D. Lee, and Cing-Dao Kan. "Temperature Effects on Critical Energy Release Rate for Aluminum and Titanium Alloys." Symmetry 16, no. 2 (2024): 142. http://dx.doi.org/10.3390/sym16020142.

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This work investigates temperature’s effect on the critical energy release rate using damage mechanics material models and the element deletion method. The energy release rate describes the decrease in total potential energy per increase in crack surface area. The critical energy release rate is widely used as the failure criterion for various elastic and plastic materials. In real-life scenarios, fractures may occur at different temperatures. The temperature dependency of the critical energy release rate for aluminum 2024-T351 and titanium Ti-6Al-4V is studied in this work. We utilized test-d

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10

Feng, WW, KL Reifsnider, GP Sendeckyj, et al. "A Simple Calculation of Strain-Energy Release Rate for a Nonlinear Double Cantilever Beam." Journal of Composites Technology and Research 7, no. 2 (1985): 64. http://dx.doi.org/10.1520/ctr10297j.

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11

Tian, Z., and S. R. Swanson. "Effect of delamination face overlapping on strain energy release rate calculations." Composite Structures 21, no. 4 (1992): 195–204. http://dx.doi.org/10.1016/0263-8223(92)90048-h.

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12

Mohamed Ben Ali, Amina, Salah Bouziane, and Hamoudi Bouzerd. "Computation of mode I strain energy release rate of symmetrical and asymmetrical sandwich structures using mixed finite element." Frattura ed Integrità Strutturale 15, no. 56 (2021): 229–39. http://dx.doi.org/10.3221/igf-esis.56.19.

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The use of composite materials is on the rise in different engineering fields, the main advantage of these materials for the aerospace industry is their low weight for excellent mechanical qualities. The analysis of failure modes, such as delamination, of these materials has received great attention from researchers. This paper proposes a method to evaluate the mode I Strain Energy Release Rate (SERR) of sandwich structures. This method associated a two-dimensional mixed finite element with virtual crack extension technique for the analysis of interfacial delamination of sandwich beams. A symm

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13

Dahlan, Hendery, Meifal Rusli, Mulyadi Bur, and Rika Ampuh Hadiguna. "Kaji Teoritis Pengaruh Variasi Letak Retak Terhadap Perambatan Retak Dengan Pendekatan Double Cantilever Beam (DCB)." Jurnal Inovasi Rekayasa Mekanikal dan Termal 1, no. 2 (2023): 20–26. http://dx.doi.org/10.25077/inomet.1.2.20-26.2023.

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One of the causes of structural failure is the presence of defects in the form of cracks that appear during the manufacturing or usage process of the structure. The propagation of cracks in the structure greatly depends on the value of the energy released rate possessed by the defective structure. Therefore, it is necessary to calculate the energy released rate of a structure that has a crack. One simple approach is the double cantilever beam (DCB) method. The DCB approach is derived from the change in strain energy with respect to the change in crack length. In this study, variations in crack

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14

Sun, C. T., and R. K. Pandey. "Improved method for calculating strain energy release rate based on beam theory." AIAA Journal 32, no. 1 (1994): 184–89. http://dx.doi.org/10.2514/3.11965.

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15

Shokrieh, M. M., and A. Zeinedini. "A Novel Method for Calculation of Strain Energy Release Rate of Asymmetric Double Cantilever Laminated Composite Beams." Applied Composite Materials 21, no. 3 (2013): 399–415. http://dx.doi.org/10.1007/s10443-013-9328-5.

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16

Renard, Jacques, and Florence Roudolff. "Analytical and numerical calculation of strain energy release rate during delamination growth in a carbon epoxy laminate." Composites Science and Technology 42, no. 4 (1991): 305–16. http://dx.doi.org/10.1016/0266-3538(91)90059-x.

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17

Dvornik, Maksim, and Elena Mikhailenko. "Strength Determination Based on the Results of Modeling the Crack Propagation in a Nanostructured Hard Alloy." Key Engineering Materials 806 (June 2019): 45–50. http://dx.doi.org/10.4028/www.scientific.net/kem.806.45.

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The process of crack propagation from the initial pore in the microstructures of WC-Co alloys with different volume fraction of the cobalt phase was studied by simulation of the stressed state by the finite element method. A calculation of the energy release rate during the propagation of crack through sections which consist of the carbide grains and the cobalt phase was made. It is shown that the strain energy release rate increases with crack propagation in WC grains and decreases with crack propagation in the intermediate layers of cobalt. The maximum stresses required for the destruction o

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18

Naghinejad, M., and H. R. Ovesy. "Calculation of total energy release rate in post-local buckling delamination of composite laminates." Journal of Composite Materials 51, no. 5 (2016): 623–35. http://dx.doi.org/10.1177/0021998316651482.

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In the present article, the variational energy principle is used to derive the expression for energy release rate in buckled composite laminate containing through-the-width delamination, subjected to in-plane strains. Boundary conditions are clamped at both edges. Buckling and post-buckling solutions are obtained and expressions for critical buckling load and post-buckling deflection have been developed. A through-the-width delamination model has been considered and formulations are based on higher order shear deformation theory. The effects of considering the higher order shear deformation th

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19

Pelegri, Assimina A., and Diwakar N. Kedlaya. "On the Energy Release Rate of Fatigued Composites Subjected to Compressive Overloads." Journal of Engineering Materials and Technology 122, no. 4 (2000): 443–49. http://dx.doi.org/10.1115/1.1289140.

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The behavior of delaminated graphite/epoxy composites under variable amplitude compressive loading (spectrum loading) is studied. The delamination growth is monitored in real time during fatigue tests. Different variable amplitude compressive load spectra are applied. Calculations of the energy release rate, G, as a function of the delamination length, delamination position, and applied strain during the spectrum loading are performed. Numerical simulations are based on a mixed mode fatigue growth model that is not subjected to the thin film model restrictions. The higher energy release values

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20

Jiao, J., C. K. Gurumurthy, E. J. Kramer, Y. Sha, C. Y. Hui, and P. Borgesen. "Measurement of Interfacial Fracture Toughness Under Combined Mechanical and Thermal Stresses." Journal of Electronic Packaging 120, no. 4 (1998): 349–53. http://dx.doi.org/10.1115/1.2792645.

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The interfacial fracture resistance of a polyimide passivation/underfill interface was measured using an asymmetric double cantilever beam technique. A thin layer of polyimide was coated on a standard epoxy as one of the beams and an underfill was flowed over the polyimide film and cured to form the second beam. The relative contributions of the thermal and mechanical stress were systematically varied by varying the thickness ratio of the two beams. The results indicate that the effect of thermal residual stress must be taken into account in the calculation of critical strain energy release ra

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21

Yin, Yanchun, Xingxue Tang, Qinwei Ma, Zhenan Li, and Wei Zhang. "Simulation Research on Energy Evolution and Supply Law of Rock–Coal System under the Influence of Stiffness." Sustainability 15, no. 2 (2023): 1335. http://dx.doi.org/10.3390/su15021335.

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The energy supply effect caused by the stiffness difference between roofs and sidewalls is an important factor that induces strain coal bursts. In order to quantitatively reveal the energy supply mechanism of strain coal bursts, this paper first establishes a coal burst energy model of the rock–coal system and proposes the calculation formula of coal burst kinetic energy considering supply energy and the stiffness ratio of rock to coal. Then the whole energy evolution law of the rock–coal system with different stiffness ratios is researched by using the numerical simulation method, and the who

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22

Wei, Y. T., Z. H. Tian, and X. W. Du. "A Finite Element Model for the Rolling Loss Prediction and Fracture Analysis of Radial Tires." Tire Science and Technology 27, no. 4 (1999): 250–76. http://dx.doi.org/10.2346/1.2135987.

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Abstract With the development of tire mechanics and computer technology, tire deformation, rolling resistance, and temperature distribution under rolling conditions may be predicted accurately through finite element analysis (FEA). Deep knowledge of tire fracture and failure behavior may also be obtained by FEA. During the past years, an in-house finite element program has been developed in our research laboratory which can analyze the tire deformation, stress, and strain under the static inflation and footprint load conditions and can predict the tire rolling resistance and temperature distri

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23

TODOROVIĆ, MARIJA, MATHIEU KOETSIER, NAĐA SIMOVIĆ, IVAN GLIŠOVIĆ, and MARKO PAVLOVIĆ. "DETERMINATION OF MODE I FRACTURE PROPERTIES OF EUROPEAN SPRUCE." Wood Research 68, no. 2 (2023): 334–47. http://dx.doi.org/10.37763/wr.1336-4561/68.2.334347.

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In this paper an efficient procedure for obtaining a cohesive law for Mode I timber fracture (crack opening), based on the Double Cantilever Beam (DCB) tests is given. DCB tests were performed on ten European spruce specimens in order to determine the energy release rate vs crack length (R curves). Two crucial parameters - crack length during the experiment and the crack tip opening displacement were obtained using 2D Digital Image Correlation (DIC) technique. In order to determine accurate fracture resistance (R curve), procedure which includes calculating cumulative released energy was emplo

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24

Hao, Ruiqing, Yuguo Zhou, Lin Liao, Nathan Saye Teah, Wanwen Xue, and Zhiling Liao. "Study on Fracture Characteristics of Layered Sandstone under Asymmetric Loading." Materials 17, no. 10 (2024): 2328. http://dx.doi.org/10.3390/ma17102328.

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In engineering practice, layered rock masses often display obvious anisotropy while deforming and failing, and the failure mode directly impacts the engineering construction stability. In this study, the fracture failure load, fracture toughness, crack deflection angle, and failure mode of a layered rock mass under different fracture modes were analyzed by utilizing improved asymmetric semi-circular disc specimens. According to the constitutive model of transversely isotropic materials, the maximum tensile stress (MTS), maximum energy release rate (MERR), and maximum strain energy density (MSE

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25

Veluri, Badrinath, and Henrik Myhre Jensen. "Modeling Delamination of Interfacial Corner Cracks in Multilayered Structures." Key Engineering Materials 525-526 (November 2012): 509–12. http://dx.doi.org/10.4028/www.scientific.net/kem.525-526.509.

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Multilayered electronic components, typically of heterogeneous materials, delaminate under thermal and mechanical loading. A phenomenological model focused on modeling the shape of such interface cracks close to corners in layered interconnect structures for calculating the critical stress for steady-state propagation has been developed. The crack propagation is investigated by estimating the fracture mechanics parameters that include the strain energy release rate, crack front profiles and the three-dimensional mode-mixity along the crack front. The developed numerical approach for the calcul

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26

Ren, Jie, Faning Dang, Huan Wang, Yi Xue, and Jianyin Fang. "Enhancement Mechanism of the Dynamic Strength of Concrete Based on the Energy Principle." Materials 11, no. 8 (2018): 1274. http://dx.doi.org/10.3390/ma11081274.

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This paper analyzes the relationship between the rates of change of elastic strain energy, the strength during the concrete failure process, and proposes that the increased dynamic strength of concrete was caused by the hysteresis effect of energy release—according to the basic principle of energy conversion. Dynamic Brazilian disc tests were carried out on concrete specimens, with diameter of 100 mm, by using the split Hopkinson pressure bar. Test results were obtained through using a gas gun, with an impact pressure of 0.15 MPa, 0.20 MPa and 0.25 MPa, respectively. The dynamic failure proces

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27

Kong, Guang Ming, Xu Dong Li, and Zhi Tao Mu. "Corrosion Fatigue Crack Propagation of 6151-T6 Aluminum Alloy Based on Virtual Crack Closure Technique." Advanced Materials Research 998-999 (July 2014): 31–34. http://dx.doi.org/10.4028/www.scientific.net/amr.998-999.31.

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Using the virtual crack closure technique (VCCT), an interface element that can calculate stress intensity factors (SIFs) directly and simulate the crack propagation conveniently has been developed. Based on an accelerated corrosion experiment, the fatigue crack propagation behavior of the 6151-T6 aluminum alloys under different corrosion years and stress levels were simulated, and it was proved to be convenient to calculate strain energy release rate and SIFs of AA 6151-T6 under different stress levels and corrosion years. The proposed method is characterized by higher accuracy and less calcu

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28

Rezaiee-Pajand, Mohammad, and Nima Gharaei-Moghaddam. "A Force-Based Rectangular Cracked Element." International Journal of Applied Mechanics 13, no. 04 (2021): 2150047. http://dx.doi.org/10.1142/s1758825121500472.

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A rectangular plane element containing an internal open stable crack is formulated. Using the well-known local flexibility approach, the element flexibility matrix is derived by the addition of the supplementary flexibility caused by cracking to the intact element flexibility. For utilization of the force formulation method, the calculation of the strain energy release rate is a necessary parameter for computing the additional flexibility matrix due to crack. The developed cracked element can be used for static and vibration analysis of structures and also vibration-based crack detection. Some

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29

Nguyen, Huu-Dien, and Shyh-Chour Huang. "Calculating Strain Energy Release Rate, Stress Intensity Factor and Crack Propagation of an FGM Plate by Finite Element Method Based on Energy Methods." Materials 18, no. 12 (2025): 2698. https://doi.org/10.3390/ma18122698.

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In the field of crack mechanics, predicting the direction of a crack is important because this will evaluate whether, when the crack propagates, it penetrates into important areas and whether the structure is dangerous or not. This paper will refer to three theories that predict the propagation direction of cracks: a theory of maximum tangential normal stress, a theory of maximum energy release, and a theory of minimum strain energy density. At the same time, the finite element method (FEM)–ANSYS program will be used to calculate stress intensity factors (SIFs), strain energy release rate (J-i

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30

Kelliher, Dennis S. "Calculating Energy Release Rate as a Function of Crack Length Using a Multiple-Step Crack Closure Technique in Tire Finite Element Models." Tire Science and Technology 46, no. 3 (2018): 130–52. http://dx.doi.org/10.2346/tire.18.460302.

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ABSTRACT When performing predictive durability analyses on tires using finite element methods, it is generally recognized that energy release rate (ERR) is the best measure by which to characterize the fatigue behavior of rubber. By addressing actual cracks in a simulation geometry, ERR provides a more appropriate durability criterion than the strain energy density (SED) of geometries without cracks. If determined as a function of crack length and loading history, and augmented with material crack growth properties, ERR allows for a quantitative prediction of fatigue life. Complications arise,

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31

Tian, Xinpeng, Dong Yao, and Qun Li. "Thermal buckling response and fracture analysis for delaminated fiber reinforced composite plates under thermo-mechanical coupling." Journal of Composite Materials 52, no. 27 (2018): 3715–30. http://dx.doi.org/10.1177/0021998318769132.

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Fiber reinforced composites are often subjected to severe thermal-mechanical coupling loads. In order to predict the stiffness and strength of the designed composites, thermal buckling response of the delaminated fiber reinforced composite plates and fracture analysis along the delamination front under thermo-mechanical coupling are investigated based on the generalized layerwise plate theory. Delamination between individual layers is considered as discontinuities in the displacement field using Heaviside step functions in the finite element model of delaminated composite plates. Governing equ

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32

Mars, W. V., and M. D. Ellul. "FATIGUE CHARACTERIZATION OF A THERMOPLASTIC ELASTOMER." Rubber Chemistry and Technology 90, no. 2 (2017): 367–80. http://dx.doi.org/10.5254/rct.17.83780.

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ABSTRACT The capacity to resist crack development in an olefinic thermoplastic elastomer (TPE) has been measured via a set of experiments that quantify (1) the fracture mechanical strength of the material under quasi-static loads, (2) the rate of growth of a crack under dynamic solicitations as a function of the energy release rate, and (3) the size of crack precursors in new material. Because the subject TPE exhibited strong inelasticity in the stress–strain response, it also was necessary to characterize the development of an inelastic set under cyclic loading as a function of the applied st

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33

Kotoul, Michal, Petr Skalka, Tomáš Profant, Martin Friák, Petr Řehák, and Petr Šesták. "Prediction of the Critical Energy Release Rate of Nanostructured Solids Using the Laplacian Version of the Strain Gradient Elasticity Theory." Key Engineering Materials 774 (August 2018): 447–52. http://dx.doi.org/10.4028/www.scientific.net/kem.774.447.

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The aim of the paper is quantify the material length scale parameter of the simplified form of the strain gradient elasticity theory (SGET) using first principles density-functional theory (DFT). The single material length scale parameterlis extracted from phonon-dispersions generated by DFT calculations and, for comparison, by adjusting the analytical SGET solution for the displacement field near the screw dislocation with the DFT calculations of this field. The obtained results are further used in the SGET modeling of cracked nanopanel formed by the single tungsten crystal where due to size

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34

Her, Shiuh Chuan, and Wei Bo Su. "Mode I Fracture Toughness of a Tri-Layered Structure with Interfacial Crack." Applied Mechanics and Materials 71-78 (July 2011): 1440–43. http://dx.doi.org/10.4028/www.scientific.net/amm.71-78.1440.

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Analytical model based on the Bernoulli beam theory and fracture mechanics have been developed to predict the fracture toughness of a tri-layered beam with interfacial crack. In this work, a double cantilever beam test is conducted to determine the fracture toughness of mode I. The strain energy release rate for the double cantilever beam is expressed as a function of the material properties and thickness of the tri-layer beam. The analytical solution is validated with the finite element result. Good agreement demonstrates that the proposed approach is able to provide an efficient way for the

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35

Maiti, S. K. "An approximate method for calculation of strain energy release rate associated with kinking of a mode I crack located initially in an orthotropic direction." International Journal of Fracture 32, no. 2 (1986): R33—R36. http://dx.doi.org/10.1007/bf00019791.

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36

Tay, Andrew A. O. "Modeling of Interfacial Delamination in Plastic IC Packages Under Hygrothermal Loading." Journal of Electronic Packaging 127, no. 3 (2004): 268–75. http://dx.doi.org/10.1115/1.1938209.

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Ever since the discovery of the “popcorn” failure of plastic-encapsulated integrated-circuit (IC) packages in the 1980s, much effort has been devoted to understanding the failure mechanism and modeling it. It has been established that such failures are due to the combined effects of thermal stresses and hygrostresses that arise during solder reflow of plastic IC packages. In recent years interfacial fracture mechanics has been applied successfully to the analysis of delamination or crack propagation along interfaces in plastic IC packages. This paper presents some fundamental aspects of interf

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37

Xie, De, and Sherrill B. Biggers. "Strain energy release rate calculation for a moving delamination front of arbitrary shape based on the virtual crack closure technique. Part I: Formulation and validation." Engineering Fracture Mechanics 73, no. 6 (2006): 771–85. http://dx.doi.org/10.1016/j.engfracmech.2005.07.013.

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38

Maussymbayeva, A. D., V. M. Yurov, V. S. Portnov, M. Rabatuly, and G. M. Rakhimova. "Assessment of the influence of the surface layer of coals on gas-dynamic phenomena in the coal seam." Naukovyi Visnyk Natsionalnoho Hirnychoho Universytetu, no. 2 (April 30, 2024): 5–11. http://dx.doi.org/10.33271/nvngu/2024-2/005.

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Purpose. Development of physical and mathematical model linking nanostructured surface layer of coal substance with geodynamic phenomena of coal seam, through adhesion energy of different layers and coal grades, melting temperature of the nanolayer, determination of the role of stress-strain state of the seam in the formation of fine coal and methane at their emissions into the mine workings. Methodology. Mathematical and experimental studies of the regular change in the surface layer of coal substance depending on the grade of coals for different formations of the Karaganda basin; assessment

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Vallianatos, Filippos, and Georgios Chatzopoulos. "A Complexity View into the Physics of the Accelerating Seismic Release Hypothesis: Theoretical Principles." Entropy 20, no. 10 (2018): 754. http://dx.doi.org/10.3390/e20100754.

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Observational indications support the hypothesis that many large earthquakes are preceded by accelerating-decelerating seismic release rates which are described by a power law time to failure relation. In the present work, a unified theoretical framework is discussed based on the ideas of non-extensive statistical physics along with fundamental principles of physics such as the energy conservation in a faulted crustal volume undergoing stress loading. We define a generalized Benioff strain function Ω ξ ( t ) = ∑ i = 1 n ( t ) E i ξ ( t ) , where Ei is the earthquake energy, 0 ≤ ξ ≤ 1 . and a t

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40

Thatoi, Dhirendranath, and Prabir Kumar Jena. "Inverse Analysis of Crack in Fixed-Fixed Structure by Neural Network with the Aid of Modal Analysis." Advances in Artificial Neural Systems 2013 (March 3, 2013): 1–8. http://dx.doi.org/10.1155/2013/150209.

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In this research, dynamic response of a cracked shaft having transverse crack is analyzed using theoretical neural network and experimental analysis. Structural damage detection using frequency response functions (FRFs) as input data to the back-propagation neural network (BPNN) has been explored. For deriving the effect of crack depths and crack locations on FRF, theoretical expressions have been developed using strain energy release rate at the crack section of the shaft for the calculation of the local stiffnesses. Based on the flexibility, a new stiffness matrix is deduced that is subseque

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Xie, De, and Sherrill B. Biggers. "Strain energy release rate calculation for a moving delamination front of arbitrary shape based on the virtual crack closure technique. Part II: Sensitivity study on modeling details." Engineering Fracture Mechanics 73, no. 6 (2006): 786–801. http://dx.doi.org/10.1016/j.engfracmech.2005.07.014.

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Maiti, S. K., and P. K. Sarkar. "A method of calculation of total strain energy release rate and its layer-wise distribution for an arbitrary through-the-thickness crack extension in a composite laminate." Engineering Fracture Mechanics 36, no. 4 (1990): 639–46. http://dx.doi.org/10.1016/0013-7944(90)90119-2.

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Chang, Fu-Kuo, and Zafer Kutlu. "Delamination Effects on Composite Shells." Journal of Engineering Materials and Technology 112, no. 3 (1990): 336–40. http://dx.doi.org/10.1115/1.2903334.

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An analytical investigation was performed to study the effect of delamination on the response of cylindrical composite shells subjected to external loadings. It was of particular interest to determine the buckling load and the post-buckling behavior of externally pressurized cylindrical composite shells containing delaminations. An analytical model was developed that consists of a structural analysis for calculating the global deformations of the structures and a fracture analysis for determining the delamination growth in the structures. A nonlinear finite element code based on the updated La

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Gyekenyesi, J. P. "SCARE: A Postprocessor Program to MSC/NASTRAN for Reliability Analysis of Structural Ceramic Components." Journal of Engineering for Gas Turbines and Power 108, no. 3 (1986): 540–46. http://dx.doi.org/10.1115/1.3239944.

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A computer program is developed for calculating the statistical fast fracture reliability and failure probability of ceramic components. The program includes the two-parameter Weibull material fracture strength distribution model, using the principle of independent action for polyaxial stress states and Batdorf’s shear-sensitive as well as shear-insensitive crack theories, all for volume distributed flaws in macroscopically isotropic solids. Both penny-shaped cracks and Griffith cracks are included in the Batdorf shear-sensitive crack response calculations, using Griffith’s maximum tensile str

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Huang, Y. S., and O. H. Yeoh. "Crack Initiation and Propagation in Model Cord-Rubber Composites." Rubber Chemistry and Technology 62, no. 4 (1989): 709–31. http://dx.doi.org/10.5254/1.3536270.

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Abstract The present study suggests that the development of penny-shaped cracks at cord ends is the first stage of fatigue failure of cord-rubber composites. An approximate theory for calculating the strain-energy release rate (tearing energy) for the propagation of penny-shaped cracks and predicting the life of model composites has been outlined. The basic premise of this theory is that the rate of propagation of these penny-shaped cracks is governed by the usual crack-growth characteristics of rubber vulcanizates customarily determined using simple test pieces such as the pure-shear test pie

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Sun, Chuanpeng, Irina N. Chernysh, John W. Weisel, and Prashant K. Purohit. "Fibrous gels modelled as fluid-filled continua with double-well energy landscape." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 476, no. 2244 (2020): 20200643. http://dx.doi.org/10.1098/rspa.2020.0643.

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Several biological materials are fibre networks infused with fluid, often referred to as fibrous gels. An important feature of these gels is that the fibres buckle under compression, causing a densification of the network that is accompanied by a reduction in volume and release of fluid. Displacement-controlled compression of fibrous gels has shown that the network can exist in a rarefied and a densified state over a range of stresses. Continuum chemo-elastic theories can be used to model the mechanical behaviour of these gels, but they suffer from the drawback that the stored energy function

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Lobov, Evgeniy, Anastasia Dobrydneva, Ilia Vindokurov, and Mikhail Tashkinov. "Effect of Short Carbon Fiber Reinforcement on Mechanical Properties of 3D-Printed Acrylonitrile Butadiene Styrene." Polymers 15, no. 9 (2023): 2011. http://dx.doi.org/10.3390/polym15092011.

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The effect of short carbon fiber (SCF) filler on the mechanical properties of 3D-printed acrylonitrile butadiene styrene (ABS) was investigated. The fused filament fabrication (FFF) method was used for the manufacturing of samples. Elastic properties and strength characteristics of samples made of conventional ABS and SCF-reinforced ABS were compared in tensile and bending tests. Fracture toughness and critical strain energy release rate were also determined. In addition, 3D-printed monofilament SCF-reinforced samples were fabricated, the internal structure of which was analyzed using microcom

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Кургузов, Владимир Дмитриевич, та Денис Александрович Кузнецов. "Разрушение хрупких балок при антисимметричном четырехточечном изгибе". Computational Continuum Mechanics 17, № 4 (2025): 393–410. https://doi.org/10.7242/1999-6691/2024.17.4.32.

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The nucleation of cracks in structural elements during their service life is due to the degradation of the material or the presence of hidden defects. The structure therefore loses its original load-bearing capacity and fails under significantly lower external loads. As a rule, the fracture of structures due to crack growth occurs under mixed loading. In this paper, an eccentric beam of rectangular cross-section with an edge crack subjected to antisymmetric four-point loading is considered. By changing the position of the crack relative to the center of the beam, it is possible to obtain the e

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Giacomazzi, Eugenio, Donato Cecere, Matteo Cimini, and Simone Carpenella. "Direct Numerical Simulation of a Reacting Turbulent Hydrogen/Ammonia/Nitrogen Jet in an Air Crossflow at 5 Bar." Energies 16, no. 23 (2023): 7704. http://dx.doi.org/10.3390/en16237704.

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The article aims to analyze the fluid dynamics and combustion characteristics of a non-premixed flame burning a fuel mixture derived from ammonia partial decomposition injected in an air crossflow. Nominal pressure (5 bar) and inlet air temperature (750 K) conditions are typical of micro-gas turbines. The effects of strain on the maximum flame temperature and NO generation in laminar non-premixed counter-flow flames are initially explored. Then, the whole three-dimensional fluid dynamic problem is investigated by setting up a numerical experiment: it consists of a Direct Numerical Simulation,

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Bajurko, Piotr. "Modelling of the Aerospace Structure Demonstrator Subcomponent." Transactions on Aerospace Research 2019, no. 1 (2019): 37–52. http://dx.doi.org/10.2478/tar-2019-0004.

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Abstract Carbon-epoxy composite materials, due to their high strength in relation to mass, are increasingly used in the construction of aircraft structures, however, they are susceptible to a number of damages. One of the most common is delamination, which is a serious problem in the context of safe operation of such structures. As part of the TEBUK project, the Institute of Aviation has developed a methodology for forecasting the propagation of delamination. In order to validate the proposed method, an aerial structure demonstrator, modelled on the horizontal stabilizer of the I-23 Manager ai

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