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Journal articles on the topic 'Energy strain release rate'

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Published: 4 June 2021
Last updated: 14 February 2022

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1

Chen, X. F., and C. L. Chow. "On Damage Strain Energy Release Rate Y." International Journal of Damage Mechanics 4, no. 3 (July 1995): 251–63. http://dx.doi.org/10.1177/105678959500400304.

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2

LU, Zhiguo, Wenjun JU, Fuqiang GAO, Youliang FENG, Zhuoyue SUN, Hao WANG, and Kang YI. "A New Bursting Liability Evaluation Index for Coal –The Effective Elastic Strain Energy Release Rate." Energies 12, no. 19 (September 30, 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 evolution of the specimen during each stage is analyzed. In this paper, an index called the effective elastic strain energy release rate (EESERR) index is proposed and used to evaluate the coal’s bursting liability. The paper shows that the propagation and coalescence of cracks is accompanied by energy release. The stress climb following a zigzag path prolongs the plastic deformation stage. This causes a significant difference between the work done by a hydraulic press during a laboratory uniaxial compression experiment and the elastic strain energy stored in the specimen during the experiment, so the evaluation result of the burst energy index would be too high. The determination of bursting liability is a comprehensive evaluation of the elastic strain energy accumulated in coal that is released when the specimen is damaged. The index proposed in this paper fully integrates the energy evolution of coal samples being damaged by loading, the amount of elastic strain energy released during the sample failure divided by the failure time is the energy release rate. The calculation method is simplified so that the uniaxial compressive strength and elastic modulus are included which makes the new index more universal and comprehensive. Theoretical analysis and physical compression experiments validate the reliability of the evaluation.
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3

Knees, Dorothee, and Alexander Mielke. "On the Energy Release Rate in Finite–Strain Elasticity." Mechanics of Advanced Materials and Structures 15, no. 6-7 (August 2008): 421–27. http://dx.doi.org/10.1080/15376490802138310.

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4

Knees, Dorothee, and Alexander Mielke. "Energy release rate for cracks in finite-strain elasticity." Mathematical Methods in the Applied Sciences 31, no. 5 (2008): 501–28. http://dx.doi.org/10.1002/mma.922.

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5

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

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6

De Roeck, G., and M. M. Abdel Wahab. "Strain energy release rate formulae for 3D finite element." Engineering Fracture Mechanics 50, no. 4 (March 1995): 569–80. http://dx.doi.org/10.1016/0013-7944(94)00232-7.

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7

Akdag, Selahattin, Murat Karakus, Giang D. Nguyen, and Abbas Taheri. "Strain burst vulnerability criterion based on energy-release rate." Engineering Fracture Mechanics 237 (October 2020): 107232. http://dx.doi.org/10.1016/j.engfracmech.2020.107232.

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8

Rizov, Victor Iliev. "Influence of Creep on Longitudinal Fracture of Inhomogeneous Rod Loaded in Torsion and Bending." Materials Science Forum 1046 (September 22, 2021): 9–14. http://dx.doi.org/10.4028/www.scientific.net/msf.1046.9.

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The present paper analyzes the influence of creep on longitudinal fracture in continuously inhomogeneous rod of circular cross-section loaded in torsion and bending. The rod exhibits continuous material inhomogeneity in both radial and longitudinal directions. The creep is described by using non-linear time-dependent relations between the principle stresses and strains. A time-dependent solution to the strain energy release rate is derived by analyzing the complementary strain energy. The time-dependent strain energy release rate is found also by considering the energy balance for verification. The solutions are applied to perform a parametric study of the strain energy release rate under creep.
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9

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 (July 5, 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 small cracks. The singularity at the crack tip caused by dissimilar materials was investigated and was found that the inclusion of the singularity effect could increase the accuracy for small cracks. The calculated strain energy release rate of a crack in a composite beam has been verified by comparing with a finite element model.
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10

Crews, J. H., K. N. Shivakumar, and I. S. Raju. "Strain energy release rate distributions for double cantilever beam specimens." AIAA Journal 29, no. 10 (October 1991): 1686–91. http://dx.doi.org/10.2514/3.10791.

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11

Yang, Q. S., X. R. Peng, and A. K. H. Kwan. "Strain energy release rate for interfacial cracks in hybrid beams." Mechanics Research Communications 33, no. 6 (November 2006): 796–803. http://dx.doi.org/10.1016/j.mechrescom.2005.09.007.

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12

Whitcomb, John D., and K. N. Shivakumar. "Strain-Energy Release Rate Analysis of Plates with Postbuckled Delaminations." Journal of Composite Materials 23, no. 7 (July 1989): 714–34. http://dx.doi.org/10.1177/002199838902300705.

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13

Wei, Pal Jen, Sheng Bin Chio, Wen Long Liang, and Jen Fin Lin. "Determining buckling strain energy release rate through indentation-induced delamination." Thin Solid Films 519, no. 15 (May 2011): 4889–93. http://dx.doi.org/10.1016/j.tsf.2011.01.048.

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14

Chakraborty, Debabrata, and B. Pradhan. "Critical Strain Energy Release Rate of Broken Ply Composite Laminates." Journal of Reinforced Plastics and Composites 17, no. 6 (April 1998): 498–511. http://dx.doi.org/10.1177/073168449801700602.

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15

V., Arun K., and Swetha K. V. "Strain Energy Release Rate in Treated Circumferentially Cracked Spring Steel." International Journal of Manufacturing, Materials, and Mechanical Engineering 2, no. 2 (April 2012): 77–87. http://dx.doi.org/10.4018/ijmmme.2012040105.

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The suspension system is a prominent piece of material that plays a vital role in the stability of a vehicle. During the service, the suspension system is subjected to different environmental conditions, at the same time it has to sustain a variety of loads. The damage of the springs is mainly attributed by its load carrying capacity under fatigue loading. Fatigue strength is the most important property for the spring steel. The energy release rate is an important parameter used to predict the life of the springs. In this experimental analysis, the authors investigate the performance of spring steel under the action of fatigue loads. The specimen preparation and the experimentations have been carried out according to the American Society for Testing of Materials (ASTM) standards. From the experiments, the strain energy release rate of the spring steels has been determined. The effects of tempering and cryogenic treatments on the performance of the spring steel have also been determined. The results have revealed that the fatigue strength and the crack growth resistance have increased with quenching and cryogenic treatments.
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16

Karadelis, John Nicholas, and Yougui Lin. "Strain energy release rate at interface of concrete overlaid pavements." International Journal of Pavement Engineering 18, no. 12 (February 23, 2016): 1060–69. http://dx.doi.org/10.1080/10298436.2016.1149833.

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17

Tsai, Gwo-Chung, and Jun-Wei Chen. "Effect of stitching on Mode I strain energy release rate." Composite Structures 69, no. 1 (June 2005): 1–9. http://dx.doi.org/10.1016/j.compstruct.2004.02.009.

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18

Nairn, John A. "The Strain Energy Release Rate of Composite Microcracking: A Variational Approach." Journal of Composite Materials 23, no. 11 (November 1989): 1106–29. http://dx.doi.org/10.1177/002199838902301102.

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19

Gordić, M. V., I. M. Djordjević, D. R. Sekulić, Z. S. Petrović, and M. M. Stevanović. "Delamination Strain Energy Release Rate in Carbon Fiber/Epoxy Resin Composites." Materials Science Forum 555 (September 2007): 515–19. http://dx.doi.org/10.4028/www.scientific.net/msf.555.515.

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The paper reports on an experimental study of the Mode I interlaminar fracture of unidirectional carbon fibers/epoxy resin composites. Mode I delamination strain energy release rate GIC was determined in double cantilever beam (DCB) test, before and after gamma irradiation at various doses. Glass transition temperature, Tg of epoxy matrix was determined from dynamic mechanical measurements. The delamination surfaces of tested coupons were observed by scanning electron microscopy. The variations in GIC values were correlated with irradiation doses, Tg values and the features of delamination microfractographs, as well as with the variation under irradiation of matrix or fibre/matrix dominated mechanical properties.
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20

Xianqiang Lu and Dahsin Liu. "Finite Element Analysis of Strain Energy Release Rate at Delamination Front." Journal of Reinforced Plastics and Composites 10, no. 3 (May 1991): 279–92. http://dx.doi.org/10.1177/073168449101000303.

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21

Marom, G., I. Roman, H. Harel, M. Rosensft, S. Kenig, and A. Moshonov. "The strain energy release rate of delamination in fabric-reinforced composites." International Journal of Adhesion and Adhesives 8, no. 2 (April 1988): 73–74. http://dx.doi.org/10.1016/0143-7496(88)90015-2.

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22

Marom, G., I. Roman, H. Harel, M. Rosensaft, S. Kenig, and A. Moshonov. "The strain energy release rate of delamination in fabric-reinforced composites." International Journal of Adhesion and Adhesives 8, no. 2 (April 1988): 85–91. http://dx.doi.org/10.1016/0143-7496(88)90028-0.

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23

Wang, James T. S., and J. T. Huang. "Strain-energy release rate of delaminated composite plates using continuous analysis." Composites Engineering 4, no. 7 (January 1994): 731–44. http://dx.doi.org/10.1016/0961-9526(94)90112-0.

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24

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

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25

Harris, J., I. P. Bond, P. M. Weaver, M. R. Wisnom, and A. Rezai. "Measuring strain energy release rate (GIc) in novel fibre shape composites." Composites Science and Technology 66, no. 10 (August 2006): 1239–47. http://dx.doi.org/10.1016/j.compscitech.2005.10.034.

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26

Rizov, Victor. "Longitudinal vertical crack analysis in beam with relaxation stresses." World Journal of Engineering 18, no. 3 (January 11, 2021): 452–57. http://dx.doi.org/10.1108/wje-05-2020-0181.

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Purpose This paper is concerned with analysis of the time-dependent strain energy release rate for a longitudinal crack in a beam subjected to linear relaxation. A viscoelastic model with an arbitrary number of parallel units is used for treating the relaxation. Each unit has one dashpot and two springs. A stress-strain-time relationship is derived for the case when the coefficient of viscosity in each unit of the viscoelastic model changes continuously with time. The beam exhibits continuous material inhomogeneity along the thickness. Thus, the moduli of elasticity and the coefficients of viscosity vary continuously in the thickness direction. The aim of the present paper is to obtain time-dependent solutions to the strain energy release rate that take into account the relaxation when the coefficient of viscosity changes with time. Design/methodology/approach Time-dependent solutions to the strain energy release rate are derived by considering the time-dependent strain energy and also by using the compliance method. The two solutions produce identical results. Findings The variation of the strain energy release rate with time due to the relaxation is analysed. The influence of material inhomogeneity and the crack location along the beam width on the strain energy release rate are evaluated. The effects of change of the coefficients of viscosity with time and the number of units in the viscoelastic model on the strain energy release rate are assessed by applying the solutions derived. Originality/value The time-dependent strain energy release rate for a longitudinal vertical crack in a beam under relaxation is analysed for the case when the coefficients of viscosity change with time.
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27

Mahanta, Bankim, Ashutosh Tripathy, Vikram Vishal, T. N. Singh, and P. G. Ranjith. "Effects of strain rate on fracture toughness and energy release rate of gas shales." Engineering Geology 218 (February 2017): 39–49. http://dx.doi.org/10.1016/j.enggeo.2016.12.008.

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28

Her, Shiuh Chuan, and Wei Bo Su. "Mode I Fracture Toughness of a Tri-Layered Beam with Interfacial Crack." Applied Mechanics and Materials 166-169 (May 2012): 245–48. http://dx.doi.org/10.4028/www.scientific.net/amm.166-169.245.

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A tri-layered cracked beam under opening loading is developed for the interfacial fracture toughness measurement. Determination of the mode I strain energy release rate along the second and third layers of the tri-layered beam is carried out analytically. The analytical prediction of the strain energy release rate is validated with the finite element results. The influences of the layer thickness and Young’s modulus on the strain energy release rate are examined through a parametric study.
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29

Her, Shiuh Chuan, and Wei-Bo Su. "The Strain Energy Release Rate of a Bi-Material Beam with Interfacial Crack." Key Engineering Materials 306-308 (March 2006): 369–74. http://dx.doi.org/10.4028/www.scientific.net/kem.306-308.369.

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Multi-layer structures are common in electronic package especially for the micro devices manufactured via the semi-conductor processes or MEMS processes. Interfacial crack due to the delamination significantly weakens the multi-layer structure. It is desired to understand the interfacial fracture properties of the electronic packaging materials. In this research, three specimens named Doubled Cantilever Beam (DCB), End-Notched Flexure (ENF), and Four-Point-Bending are proposed to investigate the fracture toughness associated with mode I, mode II and mixed mode. Basing on the Euler-Bernoulli beam theory, the strain energy in a bi-layer beam is derived. The strain energy before and after the propagation of the interfacial crack are calculated, lead to the determination of the strain energy release rate. The analytical results of strain energy release rate derived in this investigation are compared with the numerical results obtained from finite element method. The effects of material properties and thickness between the adjacent layers of interfacial crack are examined through the parametric study.
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30

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

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31

Zhang, J., C. Soutis, and J. Fan. "Strain energy release rate associated with local delamination in cracked composite laminates." Composites 25, no. 9 (October 1994): 851–62. http://dx.doi.org/10.1016/0010-4361(94)90026-4.

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32

Guo, D. Z., and L. J. Wang. "Measurement of the critical strain energy release rate of plasma-sprayed coatings." Surface and Coatings Technology 56, no. 1 (December 1992): 19–25. http://dx.doi.org/10.1016/0257-8972(92)90191-c.

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33

Jia Yen Huang. "Studies of geometry effects on strain-energy release rate of composite laminate." Engineering Fracture Mechanics 47, no. 6 (April 1994): 893–900. http://dx.doi.org/10.1016/0013-7944(94)90067-1.

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34

Raju, I. S., J. H. Crews, and M. A. Aminpour. "Convergence of strain energy release rate components for Edge-Delaminated composite laminates." Engineering Fracture Mechanics 30, no. 3 (January 1988): 383–96. http://dx.doi.org/10.1016/0013-7944(88)90196-8.

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35

Ekhtiyari, Amin, René Alderliesten, and Mahmood M. Shokrieh. "Loading rate dependency of strain energy release rate in mode I delamination of composite laminates." Theoretical and Applied Fracture Mechanics 112 (April 2021): 102894. http://dx.doi.org/10.1016/j.tafmec.2021.102894.

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36

Liu, Zeng Li, Hong Sheng Li, Huai Nian Xing, and Xiao Peng Zhang. "Experimental Investigation of Non-Linearity Critical Strain Energy Release Rate for Frozen Soil." Applied Mechanics and Materials 256-259 (December 2012): 101–7. http://dx.doi.org/10.4028/www.scientific.net/amm.256-259.101.

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This paper describes an experimental study on non-linearity critical strain energy release rate for frozen soil. Cracked single edge straight-through specimen and cracked chevron-notched specimen were used in test of three-point bending under mode I. The traditional equipment was reformed as the load applied direction was down-up, and dye penetration technique was also applied in. Measured technique and principle of non-linearity critical strain energy release rate are discussed. Some preliminary results are given out.
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37

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 calculated values of the total strain energy release rate are well with the theoretical values. This numerical analysis method is an efficient and accurate numerical analysis method.
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38

Gopal, P., L. R. Dharani, and S.-C. Yen. "Measurement of Delamination Fracture Energy Using Stepped Laminates." Advanced Composites Letters 1, no. 4 (July 1992): 096369359200100. http://dx.doi.org/10.1177/096369359200100402.

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Delamination is often the mode of failure in laminated composites. Therefore the quantification of delamination fracture energy is of vital importance. In this work, externally stepped graphite/epoxy (T300/934) laminates are tested in flexure, resulting in a series of delaminations at 0/90 interface. The delamination fracture energy is calculated based on the strain energy released and is found to be 535 J/m2. This value is in good agreement with the mode II strain energy release rate obtained by other workers.
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39

Rizov, Victor I., and Angel S. Mladensky. "Strain Energy Release Rate Determination in the Case of Mode II Crack in Overhanging Bilayered Composite Beam." Journal of Theoretical and Applied Mechanics 43, no. 3 (September 1, 2013): 87–96. http://dx.doi.org/10.2478/jtam-2013-0028.

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Abstract Mode II crack in overhanging bilayered composite beam is investigated. The beam has rectangular cross-section and is made by two unidirectional fiber reinforced composites. The formula for strain energy release rate, G, is obtained by linear elastic fracture mechanics compliance technique. The validity of the expression derived is established by comparison with solution for G in which the internal forces in front and behind the crack tip are used. The influence of the two layers moduli of elasticity ratio on the strain energy release rate is investigated. The dependence among the strain energy release rate and the ratio of the lengths of the overhang beam part and the beam span is also analyzed.
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40

Mai, Thanh-Tam, and Kenji Urayama. "Biaxial Loading Effects on Strain Energy Release Rate and Crack-Tip Strain Field in Elastic Hydrogels." Macromolecules 54, no. 10 (May 14, 2021): 4792–801. http://dx.doi.org/10.1021/acs.macromol.1c00445.

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41

Mukherjee, S., and S. Das. "Moving interfacial Griffith crack between bonded dissimilar media." Journal of Applied Mathematics 2005, no. 3 (2005): 289–99. http://dx.doi.org/10.1155/jam.2005.289.

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The plane strain problem of determining strain energy release rate, crack energy, and crack-opening displacement (COD) for a moving Griffith crack at the interface of two dissimilar orthotropic half-planes is considered. The problem is reduced to a pair of singular integral equations of second kind which have finally been solved by using Jacobi polynomials. Graphical plots of the strain energy release rate, crack energy, and crack-opening displacement for the problem in different particular cases are presented.
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42

Mento, Dean J., C. Patrick Ervin, and L. D. McGinnis. "Periodic energy release in the New Madrid seismic zone." Bulletin of the Seismological Society of America 76, no. 4 (August 1, 1986): 1001–9. http://dx.doi.org/10.1785/bssa0760041001.

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Abstract The annual release of strain energy by earthquakes in the New Madrid seismic zone, as represented by the strain factor, is calculated and cumulated. When the main annual energy release, in the form of a linear regression, is subtracted from the data, the residual curve suggests that the energy release rate is cyclical with a period of 30 to 35 yr for earthquakes of magnitude 5.5 or less. Furthermore, the current rate is well below normal and may be expected to significantly increase in the near future. Although the increase may be in the form of several small earthquakes, the historical pattern suggests that at least one earthquake of body-wave magnitude 5.0 to 5.2 may be anticipated.
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43

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 virtual crack closure integral method are better. Comparing the three crack growth criterion of maximum circumferential stress, maximum strain energy release rate and minimum strain energy density, the calculation velocity and precision of maximum circumferential stress criterion and minimum strain energy density criterion are prior to maximum strain energy release rate criterion. The calculating time and angle error of maximum strain energy release rate criterion is larger than that of the other two criterions．
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44

Erpolat, S., I. A. Ashcroft, A. D. Crocombe, and M. A. Wahab. "On the analytical determination of strain energy release rate in bonded DCB joints." Engineering Fracture Mechanics 71, no. 9-10 (June 2004): 1393–401. http://dx.doi.org/10.1016/s0013-7944(03)00163-2.

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45

Ramesh Kumar, R., M. K. Jana, G. Venkateswara Rao, and K. S. Anoop Kumar. "Accurate evaluation of strain-energy release rate in unidirectional FRP compact-tension specimen." Engineering Fracture Mechanics 58, no. 3 (October 1997): 163–72. http://dx.doi.org/10.1016/s0013-7944(97)00104-5.

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46

Chang, Yeou-Shin, Yeh-Hung Lai, and David A. Dillard. "The Constrained Blister—A Nearly Constant Strain Energy Release Rate Test for Adhesives." Journal of Adhesion 27, no. 4 (January 1989): 197–211. http://dx.doi.org/10.1080/00218468908048453.

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47

MACHIDA, Kenji, Kenichi SHIROTA, and Hiroyuki OKAMURA. "Strain Energy Release Rate at the Delamination Interface of IC Package(Electronic Devices)." Proceedings of the Asian Pacific Conference on Fracture and Strength and International Conference on Advanced Technology in Experimental Mechanics 2.01.03 (2001): 923–28. http://dx.doi.org/10.1299/jsmeatemapcfs.2.01.03.0_923.

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48

El-Senussi, A. K., and J. P. H. Webber. "Critical strain energy release rate during delamination of carbon fibre reinforced plastic laminates." Composites 20, no. 3 (May 1989): 249–56. http://dx.doi.org/10.1016/0010-4361(89)90340-6.

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49

Wang, J. T., and I. S. Raju. "Strain energy release rate formulae for skin-stiffener debond modeled with plate elements." Engineering Fracture Mechanics 54, no. 2 (May 1996): 211–28. http://dx.doi.org/10.1016/0013-7944(95)00088-7.

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50

Walsh, Richard Michael, and R. Byron Pipes. "Strain energy release rate determination of stress intensity factors by finite element methods." Engineering Fracture Mechanics 22, no. 1 (January 1985): 17–33. http://dx.doi.org/10.1016/0013-7944(85)90156-0.

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