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Journal articles on the topic 'Quasistatic crack growth'

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Published: 14 March 2023

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1

Nifagin, V. A., and M. A. Gundina. "QUASISTATIC STATIONARY GROWTH OF ELASTOPLASTICAL CRACK." Vestnik of Samara University. Natural Science Series 20, no. 7 (May 30, 2017): 85–95. http://dx.doi.org/10.18287/2541-7525-2014-20-7-85-95.

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The boundary value problem with relations to the theory of ﬂow with non- linear hardening in derivatives stress and strain tensors in the parameter loading is formulated to estimate local mechanical properties in the vicinity of crack tip of mode of loading for plane strain of elastic-plastic material at the stage of quasi-static growth. Complete solutions are obtained by the method of asymp- totic decompositions. The redistribution of stress and strain ﬁelds in the plastic region at quasi-static growing crack for the intermediate structure is investigat- ed. The form of plastic zones was found in the evolution of fracture process of material. We also obtained direct estimates of errors and diameters of con- vergence when dropping residues of series.

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2

Ronsin, O., and B. Perrin. "Dynamics of quasistatic directional crack growth." Physical Review E 58, no. 6 (December 1, 1998): 7878–86. http://dx.doi.org/10.1103/physreve.58.7878.

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3

Maso, Gianni Dal, Gilles A. Francfort, and Rodica Toader. "Quasistatic Crack Growth in Nonlinear Elasticity." Archive for Rational Mechanics and Analysis 176, no. 2 (February 21, 2005): 165–225. http://dx.doi.org/10.1007/s00205-004-0351-4.

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4

Friedrich, Manuel, and Francesco Solombrino. "Quasistatic crack growth in 2d-linearized elasticity." Annales de l'Institut Henri Poincaré C, Analyse non linéaire 35, no. 1 (January 2018): 27–64. http://dx.doi.org/10.1016/j.anihpc.2017.03.002.

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5

Wang, Fei, Yu’e Ma, Yanning Guo, and Wei Huang. "Studies on Quasi-Static and Fatigue Crack Propagation Behaviours in Friction Stir Welded Joints Using Peridynamic Theory." Advances in Materials Science and Engineering 2019 (October 31, 2019): 1–16. http://dx.doi.org/10.1155/2019/5105612.

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The friction stir welding (FSW) technology has been widely applied in aircraft structures. The heterogeneity of mechanical properties in weld and the hole in structure will lead the crack to turn. Peridynamics (PD) has inherent advantages in calculating crack turning. The peridynamic theory is applied to study the crack turning behaviour of FSW joints in this work. The compact tension (CT) samples with and without a hole are designed. The crack propagation testing under quasistatic and fatigue loads are performed. The peridynamic microplastic model is used and a three-stage fatigue calculation model is developed to simulate the quasistatic fracture and the fatigue crack growth. The results predicted by the peridynamic models are compared with the experimental ones. The effects of welding direction on quasistatic and fatigue crack propagation behaviours are investigated and the effect of hole position on crack path geometry is also studied. It is shown that the crack turning in FSWed CT samples can be captured by the peridynamic microplastic and the three-stage fatigue calculation models. The peridynamic crack growth rates agree with the experimental results. For CT specimen without a hole, the crack turns into the weld zone where the material is softer. The effect of welding direction on crack growth rates is not obvious. For CT sample with a hole, the crack propagation direction has been mainly controlled by the hole location and the welding direction has a slight effect on crack path.

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6

Drugan, W. J. "On the Asymptotic Continuum Analysis of Quasistatic Elastic-Plastic Crack Growth and Related Problems." Journal of Applied Mechanics 52, no. 3 (September 1, 1985): 601–5. http://dx.doi.org/10.1115/1.3169107.

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The present work provides rigorous substantiation of certain crucial asymptotic expressions which constitute the basis of a number of previous near-tip analyses of quasistatic elastic-plastic crack growth. This is accomplished as part of an investigation of the general features of two-dimensional near-tip continuum fields for quasistatic elastic-plastic crack growth, under general unsteady conditions, for a broad class of constitutive behavior and crack loading conditions. The approach employed and results obtained are also applicable to a number of geometrically similar problems, such as the plane strain analysis of the continuum fields near the leading and trailing edges of a quasistatically moving distributed surface load.

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7

Lazzaroni, Giuliano. "Quasistatic crack growth in finite elasticity with Lipschitz data." Annali di Matematica Pura ed Applicata 190, no. 1 (April 21, 2010): 165–94. http://dx.doi.org/10.1007/s10231-010-0145-2.

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8

Dal Maso, Gianni, and Giuliano Lazzaroni. "Quasistatic crack growth in finite elasticity with non-interpenetration." Annales de l'Institut Henri Poincare (C) Non Linear Analysis 27, no. 1 (January 2010): 257–90. http://dx.doi.org/10.1016/j.anihpc.2009.09.006.

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9

Kazarinov, Nikita, Vladimir Bratov, and Yuri V. Petrov. "Simulation of Dynamic Crack Propagation under Quasistatic Loading." Applied Mechanics and Materials 532 (February 2014): 337–41. http://dx.doi.org/10.4028/www.scientific.net/amm.532.337.

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Simulation of dynamic crack growth under quasistatic loading was performed using finite element method with embedded incubation time fracture criterion [. Experimental data, used for comparison was taken from [. ANSYS finite element software package was used in order to receive FEM solutions. The fracture criterion was implemented as an external procedure written in C++. The developed model is not using and trimming parameters. Only initial experimental conditions and material properties measured in separate experiments are used. Received dependencies for crack velocities as a function of time closely follow those observed in experiments by J.Finberg. Simulation results provide a possibility to conclude that the incubation time approach is an effective method to predict fracture initiation as well as crack propagation at various loading rates. Dependencies of an instant crack velocity on the current level of stress intensity factor received in this work for quasistatic loads and in [ for high-rate loads is discussed and compared to those experimentally observed by K. Ravi-Chandar and W.G. Knauss [ and J. Finberg [.

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10

GIACOMINI, ALESSANDRO, and MARCELLO PONSIGLIONE. "DISCONTINUOUS FINITE ELEMENT APPROXIMATION OF QUASISTATIC CRACK GROWTH IN NONLINEAR ELASTICITY." Mathematical Models and Methods in Applied Sciences 16, no. 01 (January 2006): 77–118. http://dx.doi.org/10.1142/s0218202506001066.

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We propose a time-space discretization of a general notion of quasistatic growth of brittle fractures in elastic bodies proposed by Dal Maso, Francfort and Toader,14 which takes into account body forces and surface loads. We employ adaptive triangulations and prove convergence results for the total, elastic and surface energies. In the case in which the elastic energy is strictly convex, we also prove a convergence result for the deformations.

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11

Yang, B., and K. Ravi-Chandar. "Antiplane shear crack growth under quasistatic loading in a damaging material." International Journal of Solids and Structures 35, no. 28-29 (October 1998): 3695–715. http://dx.doi.org/10.1016/s0020-7683(97)00236-9.

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12

Maso, Gianni Dal, and Rodica Toader. "Quasistatic Crack Growth in Elasto-Plastic Materials: The Two-Dimensional Case." Archive for Rational Mechanics and Analysis 196, no. 3 (September 15, 2009): 867–906. http://dx.doi.org/10.1007/s00205-009-0258-1.

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13

Datsishin, O. P., and G. P. Marchenko. "Quasistatic edge crack growth with non-self-balancing stresses at the edges." Soviet Materials Science 27, no. 4 (1992): 379–85. http://dx.doi.org/10.1007/bf00723229.

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14

Nazarov, S. A. "Scenarios for the quasistatic growth of a slightly curved and kinked crack." Journal of Applied Mathematics and Mechanics 72, no. 3 (October 2008): 347–59. http://dx.doi.org/10.1016/j.jappmathmech.2008.07.013.

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15

Rice, J. R. "First-Order Variation in Elastic Fields Due to Variation in Location of a Planar Crack Front." Journal of Applied Mechanics 52, no. 3 (September 1, 1985): 571–79. http://dx.doi.org/10.1115/1.3169103.

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The problem explained in the title is formulated generally and given an explicit solution for tensile loadings opening a half-plane crack in an infinite body. For the half-plane crack, changes in the opening displacement between the crack surfaces and in the stress-intensity factor distribution along the crack front are calculated to first order in an arbitrary deviation of the crack-front position from a reference straight line. The deviations considered lie in the original crack plane. The results suggest that in the presence of loadings that would induce uniform conditions along the crack front, if it were straignt, small initial deviations from straightness should reduce in size during quasistatic crack growth if of small enough spatial wavelength but possibly enlarge in size if of longer wavelength. The solution methods rely on elastic reciprocity, in terms of a three-dimensional version of weight function theory for tensile cracks, and on direct solution of elastic crack problems. The weight function is derived for the half-plane crack by solving for the first-order variation in the elastic displacement field associated with arbitrary variations of the crack front from a straight reference line. Also, a new three-dimensional weight function theory is developed for planar cracks under general mixed-mode loading involving tension and shears relative to the crack, the connection between weight functions and the Green’s function for crack problems is shown, and some results are given for the half-plane crack on the variations of elastic fields for variation of crack-front location in the presence of general loadings including shear.

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16

Matbuly, M. S. "Dynamic crack propagation between two bonded orthotropic plates." Journal of Applied Mathematics 2004, no. 1 (2004): 55–68. http://dx.doi.org/10.1155/s1110757x04306170.

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The problem of crack propagation along the interface of two bonded dissimilar orthotropic plates is considered. Using Galilean transformation, the problem is reduced to a quasistatic one. Then, using Fourier transforms and asymptotic analysis, the problem is reduced to a pair of singular integral equations with Cauchy-type singularity. These equations are solved using Gauss-Chebyshev quadrature formulae. The dynamic stress intensity factors are obtained in closed form expressions. Furthermore, a parametric study is introduced to investigate the effect of crack growth rate and geometric and elastic characteristics of the plates on values of dynamic stress intensity factors.

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17

Qureshi, Ayman, Tianyue Guan, and Marco Alfano. "Finite Element Analysis of Crack Propagation in Adhesive Joints with Notched Adherends." Materials 16, no. 1 (December 31, 2022): 391. http://dx.doi.org/10.3390/ma16010391.

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The adherends notching technique has been the subject of a few recent studies and consists of tailoring the geometry of the adjoined layers to mitigate the bondline peak stresses and enhance the joint strength. In the present study, we explored the effect of the adherends notching technique on crack propagation using finite element (FE) simulations based on the cohesive zone model (CZM) of fracture. Double cantilever beam (DCB) adhesive joints subjected to quasistatic loading were considered as a model material system. An array of equally spaced notches was placed on the faying sides of the adherends, oriented perpendicularly to the direction of crack growth. A parametric investigation was carried out to ascertain the role of the notches and the input cohesive properties on various performance metrics, e.g., load–displacement response and dissipated energy. The proposed notching strategy promotes an unstable crack pinning/depinning process, which effectively delays crack growth and increases the effective work of fracture. Additionally, we found that the overall behaviour is tunable by changing geometric (i.e., notch spacing and depth) and bondline material properties.

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18

Meisner, S. N., and L. L. Meisner. "Effect of electron-beam treatment on the nature of fatigue crack propagation and formation of plastic zones on fracture surfaces in TiNi shape memory alloy." Perspektivnye Materialy 1 (2023): 5–18. http://dx.doi.org/10.30791/1028-978x-2023-1-5-18.

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Influence of surface electron-beam processing on character of fatigue cracks propagation and crack growth rates under cyclic tension in a mode of low-cycle loading of TiNi samples before and after irradiation by low-energy high-current electron beam (LEHCEB) is studied in the work. Correlation between stages of fatigue cracks propagation and formation of plastic zones on surfaces of failure in TiNi samples before and after LEHCEB treatments is established. The LEHCEB treatment of specimen surfaces was carried out at the electron-beam installation “RITM-SP” with the electron beam parameters: energy density ES = 3.7 J/cm2, pulse duration τ = 2.5 μs, number of pulses n = 5. Differences in the stages of propagation of main fatigue cracks during cyclic stretching of TiNi samples before and after LEHCEB have been revealed. Preferential mechanisms of quasistatic and fatigue fracture at different stages of crack propagation are determined. It is shown that LEHCEB treatment leads to a shift of fatigue fracture initiation and the beginning of all stages by ∆N ≥ 3000, increasing the cyclic durability of the specimens by ~ 1.5 times. The greatest influence of surface modification is shown on Stage I of fatigue crack propagation. The lower rate of fatigue crack propagation at this stage in irradiated specimens leads to an increase in its duration as compared to unirradiated specimens. It is concluded that to effectively increase the fatigue life of TiNi specimens by means of LEHCEB treatments it is necessary to create conditions for increasing the number of cycles before the Stage I initiation and maximizing the duration of this stage.

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19

Roy Chowdhury, S., and R. Narasimhan. "A finite element analysis of quasistatic crack growth in a pressure sensitive constrained ductile layer." Engineering Fracture Mechanics 66, no. 6 (August 2000): 551–71. http://dx.doi.org/10.1016/s0013-7944(00)00033-3.

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20

Mantič, Vladislav, and Christos G. Panagiotopoulos. "BEM Implementation of a Quasistatic and Rate-independent Non-associative Model of Mixed-mode Interface-crack Growth." Procedia Materials Science 3 (2014): 1191–96. http://dx.doi.org/10.1016/j.mspro.2014.06.194.

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21

Gao, Huajian, and James R. Rice. "Nearly Circular Connections of Elastic Half Spaces." Journal of Applied Mechanics 54, no. 3 (September 1, 1987): 627–34. http://dx.doi.org/10.1115/1.3173080.

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In this paper we solve the elasticity problem of two elastic half spaces that are joined together over a region that does not differ much from a circle, i.e., the problem of an external planar crack leaving a nearly circular uncracked connection. The method we use is based on the perturbation technique developed by Rice (1985) for solving the elastic field of a crack whose front deviates slightly from some reference geometry. Quantities such as crack opening displacement and stress intensity factor are derived in detail to the first order of accuracy in the deviation of the shape of the connection from a circle. In addition, some results such as the crack face weight functions and Green’s functions for a perfectly circular connection are also discussed under various boundary conditions at infinity. The formulae derived are used to study the configurational stability problem for quasistatic growth of an external circular crack. The results, derived when the crack front is perturbed from circular in a harmonic wave form and is subjected to axisymmetric loading, suggest that a perturbation of wavenumber higher than one is configurationally stable under all boundary conditions at infinity. The perturbation with wavenumber equal to one, which corresponds to a translational shift of the geometric center of the circular connection, turns out to be configurationally stable if any rotation in the remote field is suppressed and configurationally unstable if there is no such restraint.

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22

Drugan, W. J., and Xing-Yu Chen. "Plane strain elastic-ideally plastic crack fields for mode I quasistatic growth at large-scale yielding—I. A new family of analytical solutions." Journal of the Mechanics and Physics of Solids 37, no. 1 (January 1989): 1–26. http://dx.doi.org/10.1016/0022-5096(87)90002-0.

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23

Chen, Xing-Yu, and W. J. Drugan. "Plane strain elastic-ideally plastic crack fields for mode I quasistatic growth at large-scale yielding—II. Global analytical solutions for finite geometries." Journal of the Mechanics and Physics of Solids 39, no. 7 (January 1991): 895–925. http://dx.doi.org/10.1016/0022-5096(91)90011-c.

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24

Gupta, Suneel K., Vivek Bhasin, K. K. Vaze, A. K. Ghosh, and H. S. Kushwaha. "Effects of Simulated Seismic Loading on LBB Assessment of High Energy Piping." Journal of Pressure Vessel Technology 129, no. 1 (March 13, 2006): 28–37. http://dx.doi.org/10.1115/1.2388998.

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The current Leak Before Break (LBB) assessment is based primarily on the monotonic fracture tearing instability. In it the maximum design accident load is compared with the fracture-tearing resistance load. The effect of cyclic loading has not been generally considered in the fracture assessment of nuclear power plant piping. It is a well-known fact that reversible cyclic loading decreases the fracture resistance of the material, which leads to increased crack growth. Indian nuclear power reactors consider Operational-Basis-Earthquake (OBE) and Safe-Shutdown-Earthquake (SSE) events in the design of various structures, systems, and components. Keeping this in view a series of cyclic tearing tests have been conducted on straight pipes, made of ASTM SA333 Gr.6 carbon steel. This is the material of primary heat transport (PHT) piping material of Indian Pressurized Heavy Water Reactors (PHWR). In this series 13 tests have been carried out circumferentially through wall cracked seamless and circumferential seam welded straight pipes under reversible cyclic bending loading. All the tests have been conducted under quasistatic, i.e., slow loading rates and dynamic inertia effects are not considered. The cyclic test results have been compared with the corresponding monotonic pipe fracture test results. These test results and its comparison with corresponding monotonic tearing clearly illustrate the need of addressing the reduction in apparent fracture toughness of material under reversible cyclic loading and the safe number of load cycles in the LBB assessment.

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25

Perez Velasquez, C., D. Avendano Rodriguez, C. Narvaez Tovar, L. Mujica Roncery, and R. Rodríguez Baracaldo. "Fatigue Crack Growth and Fracture Toughness in a Dual Phase Steel: Effect of Increasing Martensite Volume Fraction." International Journal of Automotive and Mechanical Engineering 17, no. 3 (October 6, 2020): 8086–95. http://dx.doi.org/10.15282/ijame.17.3.2020.02.0606.

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Crack growth resistance in dual-phase steel was studied. The dual phase steel microstructure was modified through heat treatments to increase the martensite volume fraction from 10% to 40%. The as-received and heat-treated samples were evaluated using a uniaxial tensile test, fatigue crack growth test, and fracture toughness test. Extended Finite Element Method (XFEM) was used to simulate the crack growth in compact tension test specimens. The results showed that an increase in martensite volume fraction is an effective way to increase the fracture resistance under different load conditions, quasistatics and dynamic, increasing the fracture toughness, tensile strength and fatigue resistance of the heat-treated material. Presence of a highest content of martensite results in formation of an important number of secondary cracks during the fatigue crack growth, which slow down the crack propagation. Moreover, martensite generates a crack closure over the crack tip, making the propagation difficult due to the irregularities caused by the crack growth on the martensite. Finally, the computational load-displacement curves are in good agreement with the experimental data.

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26

Dal Maso, Gianni, and Marco Morandotti. "A model for the quasistatic growth of cracks with fractional dimension." Nonlinear Analysis: Theory, Methods & Applications 154 (May 2017): 43–58. http://dx.doi.org/10.1016/j.na.2016.03.007.

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27

Sasikala, Gomathy, Matcha Nani Babu, Bhyravajoshulu Shashank Dutt, and Shreedhar Venugopal. "Characterisation of Fatigue Crack Growth and Fracture Behaviour of SS 316L(N) Base and Weld Materials." Advanced Materials Research 794 (September 2013): 449–59. http://dx.doi.org/10.4028/www.scientific.net/amr.794.449.

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This paper summarizes the results of the studies on fracture mechanics characterisation of SS 316L(N) and its welds. The results presented include the fracture toughness and FCG properties of the base and weld materials at different temperatures. Influence of nitrogen content on the base material properties is discussed. Further, the effects of long-term ageing at different temperatures on the fracture and FCG behaviour of the welds are presented and discussed. The weld metal has been subjected to extended thermal ageing, and a detailed study has been undertaken to characterize the (i) FCG properties and (ii) quasistaticJ-R curves for the indigenously developed SS 316(N) weld material at both ambient and service temperatures. The ageing conditions covered include the advanced ageing according to the RCC-MR design code, i.e, > 4000 h at 923 K and the low temperature ageing, i.e., 643-823 K the operating range for the SS 316L(N) components in PFBR. The results are discussed in detail in the light of microstructural changes taking place in the weld metal and their influence on the operating micromechanisms.

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28

Drucker, Daniel C. "From Instability and Time Dependence on the Microscale to Stability and Time Independence on the Macroscale." Journal of Engineering Materials and Technology 117, no. 4 (October 1, 1995): 368–72. http://dx.doi.org/10.1115/1.2804727.

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The quasistatic inelastic deformation of ductile structural metals observed on the macroscale reflects a diversity of dynamic inelastic effects on the microscale. The generation, motion, and immobilization of dislocations are primary among them, but a host of other activities such as the opening and growth of cracks and voids, also may contribute. Dynamic activity on the microscale is strongly time-dependent on the time scales of importance to the microscopic processes. Also, the atomic configurations of single dislocations and groups of dislocations are highly unstable over a significant portion of each path of rapid motion. Nevertheless, engineers continue to design structures and machines with a reasonable factor of safety against failure on the basis of conventional plasticity theory with its assumption of both time-independence and stability (normality and convexity). This discussion of the validity of these simplifying assumptions for macroscopic constitutive relations despite instability and time-dependence on the atomic- and micro-scale expands upon a recent paper with Ming Li.

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29

Tereshin, D. A. "Crack Growth Under Moving Temperature Field by the Example of Circumferential Crack in Steel Cylinder Specimen." Journal of Pressure Vessel Technology 130, no. 3 (July 11, 2008). http://dx.doi.org/10.1115/1.2937743.

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High thermally loaded construction exploitation practice has shown that the destruction under the loading with the temperature field caused by a moving heat source can be much more dangerous than the one in case of a stationary heat source. The growth of long cracks in the first case occurs by means of the two main mechanisms specific to the describing loading conditions. They are the codirectional crack growth mechanism when a crack grows jointly with the thermal tension stresses zone and the oppositely directional mechanism realizing when a crack grows in the opposite direction relative to the stress field moving direction. In both cases, the ultimate crack extension will be limited only by the stress moving zone. However, an experimental proof of such a crack growth on ductile specimens was absent. To demonstrate the possibility of crack development under the action of the moving temperature field up to the length essentially greater than the temperature stress tension zone by the mechanisms peculiar to such loading, the experiment on steel thin-walled cylinder was carried out. The specimens were heated in the circular high-frequency current inductor. Cold-water jet falling on the specimen’s surface resulted in high temperature gradients and high local stresses. Automodel movement of the temperature field was achieved by means of the drive rotating the specimen about its longitudinal axis. The fatigue crack arose under the action of cyclically moving temperature field. Thereafter, the near-automodel fatigue crack growth proceeded. After several tens of cycles, the crack length essentially exceeded the thermal tension zone and became greater than half-circumference. The experimentally obtained crack growth rate was in good agreement with the calculated result by the developed calculation technique. It was proved that in addition to the codirectional and oppositely directional quasistatic mechanisms, the high-speed fatigue crack growth is also possible in constructions made of materials having a considerable fracture toughness. It can occur in the same and opposite directions relative to the temperature field moving direction. Although the fatigue crack growth rate is small in comparison with the quasistatic codirectional and opposite directional ones, the final crack length can also reach a great size. That length is limited only by the tensile stress moving region.

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30

Dal Maso, Gianni, and Rodica Toader. "Quasistatic crack growth in elasto-plastic materials with hardening: The antiplane case." Advances in Calculus of Variations, December 6, 2022. http://dx.doi.org/10.1515/acv-2022-0025.

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Abstract We study a variational model for crack growth in elasto-plastic materials with hardening in the antiplane case. The main result is the existence of a solution to the initial value problem with prescribed time-dependent boundary conditions.

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31

Crismale, Vito, and Giuliano Lazzaroni. "Quasistatic crack growth based on viscous approximation: a model with branching and kinking." Nonlinear Differential Equations and Applications NoDEA 24, no. 1 (January 3, 2017). http://dx.doi.org/10.1007/s00030-016-0426-6.

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