Relevant bibliographies by topics / Griffith's criterion

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  2. Dissertations / Theses
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Academic literature on the topic 'Griffith's criterion'

Author: Grafiati
Published: 14 March 2023
Last updated: 31 July 2025

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Journal articles on the topic "Griffith's criterion"

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NEGRI, MATTEO, and CHRISTOPH ORTNER. "QUASI-STATIC CRACK PROPAGATION BY GRIFFITH'S CRITERION." Mathematical Models and Methods in Applied Sciences 18, no. 11 (2008): 1895–925. http://dx.doi.org/10.1142/s0218202508003236.

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We consider the propagation of a crack in a brittle material along a prescribed crack path and define a quasi-static evolution by means of stationary points of the free energy. We show that this evolution satisfies Griffith's criterion in a suitable form which takes into account both stable and unstable propagations, as well as an energy balance formula which accounts for dissipation in the unstable regime. If the load is monotonically increasing, this solution is explicit and almost everywhere unique. For more general loads we construct a solution via time discretization. Finally, we consider
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Zhao, Yishu. "Griffith's criterion for mixed mode crack propagation." Engineering Fracture Mechanics 26, no. 5 (1987): 683–89. http://dx.doi.org/10.1016/0013-7944(87)90133-0.

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Akash, Tanmay Sarkar, Rafsan A. S. I. Subad, Pritom Bose, and Md Mahbubul Islam. "Nanomechanics of antimonene allotropes under tensile loading." Physical Chemistry Chemical Physics 23, no. 10 (2021): 6241–51. http://dx.doi.org/10.1039/d0cp05563h.

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Mechanical properties of monolayer antimonene been investigated with molecular dynamics simulations. A crackline stress distribution based fracture toughness calculation is established as a method to compare with Griffith's criterion for highly brittle 2D materials.
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Sato, Tamao, and Hiroo Kanamori. "Beginning of earthquakes modeled with the Griffith's fracture criterion." Bulletin of the Seismological Society of America 89, no. 1 (1999): 80–93. http://dx.doi.org/10.1785/bssa0890010080.

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Abstract We present a source model for the beginning of earthquakes based on the Griffith's fracture criterion. The initial state is a critical state of pre-existing circular fault, which is on the verge of instability. After the onset of instability, the fault grows with a progressively increasing rupture speed, satisfying the condition of fracture energy balance at the crack tip. We investigate the difference in rupture growth patterns in two classes of models that are considered to represent end-member cases. In the first model (Spontaneous model), we assume that the surface energy varies s
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Popov, Valentin. "Energetic criterion for adhesion in viscoelastic contacts with non-entropic surface interaction." Reports in Mechanical Engineering 2, no. 1 (2021): 57–64. http://dx.doi.org/10.31181/rme200102057p.

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We suggest a detachment criterion for a viscoelastic elastomer contact based on Griffith's idea about the energy balance at an infinitesimal advancement of the boundary of an adhesive crack. At the moment of detachment of a surface element at the boundary of an adhesive contact, there is some quick (instant) relaxation of stored elastic energy which can be expressed in terms of the creep function of the material. We argue that it is only this "instant part" of stored energy which is available for doing work of adhesion and thus it is only this part of energy relaxation that must be used in Gri
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KNEES, DOROTHEE, ALEXANDER MIELKE, and CHIARA ZANINI. "ON THE INVISCID LIMIT OF A MODEL FOR CRACK PROPAGATION." Mathematical Models and Methods in Applied Sciences 18, no. 09 (2008): 1529–69. http://dx.doi.org/10.1142/s0218202508003121.

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We study the evolution of a single crack in an elastic body and assume that the crack path is known in advance. The motion of the crack tip is modeled as a rate-independent process on the basis of Griffith's local energy release rate criterion. According to this criterion, the system may stay in a local minimum before it performs a jump. The goal of this paper is to prove the existence of such an evolution and to shed light on the discrepancy between the local energy release rate criterion and models which are based on a global stability criterion (as for example the Francfort/Marigo model). W
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Einav, Itai. "Fracture propagation in brittle granular matter." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 463, no. 2087 (2007): 3021–35. http://dx.doi.org/10.1098/rspa.2007.1898.

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It is nearly a century since Alan Arnold Griffith developed his energy criterion for the fracture propagation of cracks in ‘near-continuous’ solids. Needless to say that his celebrated work has revolutionized the world of material science. In a very succinct way, Griffith connected between three important aspects of the fracture process: (i) the material, (ii) the stress level, and (iii) the geometry of the crack. Nothing similar was developed for brittle granular matter, although in these materials fracture propagates in the sense of comminution. Recently, I have developed an energy theory, c
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MORI, Takahisa, and Hisashi TOKUTOMI. "TRIAXIAL AND BIAXIAL COMPRESSIVE STRENGTHS OF CONCRETE BY "MENNODO" CONCEPT APPLYING THE GRIFFITH'S FRACTURE CRITERION." Journal of Structural and Construction Engineering (Transactions of AIJ) 68, no. 569 (2003): 9–13. http://dx.doi.org/10.3130/aijs.68.9_4.

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Kendall, Kevin. "Energizing ASTM lap joint fracture standards." Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 379, no. 2203 (2021): 20200287. http://dx.doi.org/10.1098/rsta.2020.0287.

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Several ASTM standards on the fracture of glued and welded joints need attention because they do not consider the Griffith energy criterion of cracking which was proposed a century ago. It is almost as if Griffith never existed because the ASTM definition of failure is the stress criterion postulated by Galileo in 1638 in which stress at failure (i.e. strength = force/area) is defined as the determinant of fracture. Irene Martinez Villegas (Villegas, Rans 2021 Phil. Trans. R. Soc. A 376, 20200296. ( doi:10.1098/rsta.2020.0296 )) shows in this volume that attempts to use ASTM D5868 to standardi
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Hong-Lam, DANG. "A study of tensile strength of fractured rock mass by phase field method in DEAL.II with local refinement technique." Transport and Communications Science Journal 71, no. 7 (2020): 737–45. http://dx.doi.org/10.25073/tcsj.71.7.1.

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Cracking propagation in elastic and porous media is still challenge topics in mechanical, energy, and environmental engineering. In this paper, the phase field method will be used to model the cracking propagation at the small scale for elastic media. This method is doing well in DEAL.II with the help of local refinement technique which allows studying the tensile strength of fractured rock mass behavior without prior knowledge of cracking propagation path and reduction of computational consumption. This implementation is applied to model a fractured rock mass in which a plenty of explicit fra
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Dissertations / Theses on the topic "Griffith's criterion"

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Racca, Simone. "Some models of crack growth in brittle materials." Doctoral thesis, SISSA, 2013. http://hdl.handle.net/20.500.11767/4809.

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This work is devoted to the study of models of fractures growth in brittle elastic materials; it collects the results obtained during my Ph.D., that are contained in [77, 76, 78]. We consider quasi-static rate-independent models, as well as rate-dependent ones and the case in which the first ones are limits of the second ones when certain physical parameters vanish. The term quasistatic means that, at each instant, the system is assumed to be in equilibrium with respect to its time-dependent data; this setting is typical of systems whose internal time scale is much smaller than that of the loa
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Almi, Stefano. "Some results on the mathematical analysis of crack problems with forces applied on the fracture lips." Doctoral thesis, SISSA, 2016. http://hdl.handle.net/20.500.11767/4878.

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This thesis is devoted to the study of some models of fracture growth in elastic materials, characterized by the presence of forces acting on the crack lips. Working in the general framework of rate-independent processes, we first discuss a variational formulation of the problem of quasi-static crack evolution in hydraulic fracture. Then, we investigate the crack growth process in a cohesive fracture model, showing the existence of an evolution satisfying a weak Griffith's criterion. Finally, in the last chapter of this work we investigate, in the static case, the interaction between the energ
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Book chapters on the topic "Griffith's criterion"

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Larsen, Christopher J. "Models for Dynamic Fracture Based on Griffith’s Criterion." In IUTAM Symposium on Variational Concepts with Applications to the Mechanics of Materials. Springer Netherlands, 2010. http://dx.doi.org/10.1007/978-90-481-9195-6_10.

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Maggiorelli, Eleonora. "Griffith Criterion for Steady and Unsteady-State Crack Propagation." In Springer INdAM Series. Springer Nature Singapore, 2025. https://doi.org/10.1007/978-981-96-4550-3_7.

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Bonnet, Marc. "Stability of Moving Fronts Under Griffith Criterion: A Computational Approach Using Integral Equations and Domain Derivatives." In Solid Mechanics and Its Applications. Springer Netherlands, 1999. http://dx.doi.org/10.1007/978-94-011-4738-5_32.

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Bažant, Zdeněk P., Jia-Liang Le, and Marco Salviato. "Overview of History." In Quasibrittle Fracture Mechanics and Size Effect. Oxford University Press, 2021. http://dx.doi.org/10.1093/oso/9780192846242.003.0008.

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The last chapter briefly sketches the rich century-long history of fracture mechanics, with an additonal quasibrittle focus. The mainstream milestones were Griffith's 1921 introduction of energy criterion of crack propagation, Irwin's 1958 discovery of the relation of the energy release rate to the stress intensity factor of the near-tip singular stress field, Barenblatt's 1959 conception of the cohesive crack model, and Rice's 1966 discovery of the J-integral giving the energy flux into tip crack tip. Progress was spurred by the breakup of welded Liberty ships at sea and of Commet jetliners i
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Anand, Lallit, Ken Kamrin, and Sanjay Govindjee. "Energy-based approach to fracture." In Introduction to Mechanics of Solid Materials. Oxford University PressOxford, 2022. http://dx.doi.org/10.1093/oso/9780192866073.003.0017.

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Abstract This chapter introduces the concept of energy release rate for linear elastic fracture mechanics. The classical Griffith fracture criterion, which is formulated in terms of the energy release rate and a critical value of the energy release rate for crack extension, is introduced. The relationship between the energy release rate and the stress intensity factor in Mode I is presented.
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Louchet, Francois. "Deformation, Fracture, and Friction Processes." In Snow Avalanches. Oxford University Press, 2020. http://dx.doi.org/10.1093/oso/9780198866930.003.0003.

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The main mechanical and physical quantities and concepts ruling deformation, fracture, and friction processes are recalled, with particular attention paid to the simplicity of the analysis, but without betraying the scientific validity of the arguments. We particularly discuss the difference between between elastic and plastic deformation, and quasistatic and dynamic loadings, essential in avalanche triggering mechanisms. The physical origin of Griffith’s rupture criterion that rules both fracture nucleation and propagation, and the transition between brittle and ductile failure processes, is
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Anand, Lallit, and Sanjay Govindjee. "Energy-based approach to fracture." In Continuum Mechanics of Solids. Oxford University Press, 2020. http://dx.doi.org/10.1093/oso/9780198864721.003.0027.

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This chapter introduces the concept of energy release rates for linear elastic fracture mechanics. The concept of an energy release rate is defined and related to the criteria of Griffith with application in the context of bodies with point loads. Eshelby’s energy momentum tensor is also introduced and Rice’s path independent J-integral is derived, related to energy release rate, and applied to fracture problems.
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Sutton, Adrian P. "Cracks." In Physics of Elasticity and Crystal Defects. Oxford University Press, 2020. http://dx.doi.org/10.1093/oso/9780198860785.003.0009.

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Loaded slit cracks are modelled as continuous distributions of dislocations with infinitesimal Burgers vectors. Cauchy-type singular integral equations for the density of Burgers vector in these distributions are solved using the theory of Chebyshev polynomials. The elastic fields of mode I elastic slit cracks are derived and the stress intensity factor is defined. Other defects may interact with cracks such as dislocations. This leads to the concepts of shielding and anti-shielding of cracks by dislocations. The Dugdale–Bilby–Cottrell–Swinden model of a mode I crack completely shielded by a p
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Sutton, Adrian P. "Cracks." In Physics of Elasticity and Crystal Defects. Oxford University PressOxford, 2024. https://doi.org/10.1093/oso/9780198908081.003.0010.

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Abstract Loaded slit cracks are modelled as continuous distributions of dislocations with infinitesimal Burgers vectors. Cauchy-type singular integral equations for the density of Burgers vector in these distributions are solved using the theory of Chebyshev polynomials. The elastic fields of mode I elastic slit cracks are derived and the stress intensity factor is defined. Other defects may interact with cracks such as dislocations. This leads to the concepts of shielding and anti-shielding of cracks by dislocations. The Dugdale-Bilby-Cottrell-Swinden model of a mode I crack completely shield
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Lothe, A. E., H. Borge, and Ø. Sylta. "Evaluation of Late Cap Rock Failure and Hydrocarbon Trapping Using a Linked Pressure and Stress Simulator." In Evaluating Fault and Cap Rock Seals. American Association of Petroleum Geologists, 2005. https://doi.org/10.1306/1060763h23168.

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Abstract Hydraulic fracturing and leakage can be controlling factors for hydrocarbon leakage in overpressured sedimentary basins over geological time. Knowledge of the lateral flow properties of major faults is needed to simulate how pressure generation and dissipation can influence the sealing potential of cap rocks. The hydraulic fracture processes in the cap rock need to be evaluated to quantify timing and the amount of hydraulic leakage. To address these issues, we use a single-phase simulator, which calculates pressure generation resulting from mechanisms, such as shale compaction and dra
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Conference papers on the topic "Griffith's criterion"

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Zheng, Bin, Han Liu, Samuel Jules, Hai Xie, and Kaikai Shi. "An Application of the Brittle Fracture Criterion Gp Method to a RPV Type Geometry – Towards the Industrialization of the Method." In ASME 2021 Pressure Vessels & Piping Conference. American Society of Mechanical Engineers, 2021. http://dx.doi.org/10.1115/pvp2021-61636.

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Abstract With the life extension of Nuclear Power Plants worldwide, new challenges have emerged in engineering calculations. These challenges often stem from the difficulty to demonstrate an adequate margin for some key components, which have gradually been ageing during the operation of the plant. In particular, the Reactor Pressure Vessel (RPV) is impacted by the irradiation, and the risk of brittle fracture under severe cold shocks must be assessed. In parallel to conventional approaches, a significant amount work has been performed over the past 20 years in France to adapt the historic Gri
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Chen, Deliang, Changping Chen, Yiming Fu, and Liming Dai. "Growth of Delamination for Laminates Circular Plates Subjected to Transverse Loads." In ASME 2009 International Mechanical Engineering Congress and Exposition. ASMEDC, 2009. http://dx.doi.org/10.1115/imece2009-10687.

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By using movable boundary variational principle, a set of nonlinear governing equations for the delaminated circular plate including the transverse shear deformation and contact effect between the delaminations subjected to transverse load are derived and the corresponding boundary and matching conditions are given. At the same time, according to the Griffith criterion, the formulas of total energy release rate and its individual mode components along the delamination front are obtained and the delamination growth is studied. In the numerical calculation, the delamination growth of axisymmetri
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Medina, Hector E., and Brian Hinderliter. "Generation and Mechanical Analysis of Repeatable Random Rough Surfaces." In 2012 20th International Conference on Nuclear Engineering and the ASME 2012 Power Conference. American Society of Mechanical Engineers, 2012. http://dx.doi.org/10.1115/icone20-power2012-54951.

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Natural weathering and wear of structural materials in service nearly always generate surface roughness, and follow the Central Limit Theorem prediction for surface topology. This study couples experimental and statistical theory, to extend knowledge of life of materials from initial service surface conditions through surface damage accumulation. Statistical moments and other parameters were correlated with fracture locations probability (H/N), versus auto correlation length, and depth. As the surface grows to a full Gaussian, H/N increases its dependence on profile’s average and RMS roughness
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Sun, Wei, Guangqing Zhang, Xiaojia Xue, and Wenbin Chen. "Rock Tensile Properties and Modification of Tensile Strength Criterion Under Confining Pressure." In 57th U.S. Rock Mechanics/Geomechanics Symposium. ARMA, 2023. http://dx.doi.org/10.56952/arma-2023-0587.

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ABSTRACT To reveal the influence of confining pressure on the tensile properties of rock, Brazilian disc tests for tight sandstone and granite under different confining pressures were carried out. The tensile failure characteristics were analyzed, and the tensile strength-confining pressure curves were obtained. The maximum tensile stress criterion was modified considering the influence of confining pressure, which was incorporated into ABAQUS, and characteristics of hydraulic fractures under different in-situ stress conditions were studied. The results reveal that (1) under the confining pres
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Jin, Xiaoqing, Leon M. Keer, and Qian Wang. "Behavior of a Fluid Filled Subsurface Crack Under Moving Hertzian Loading." In ASME/STLE 2007 International Joint Tribology Conference. ASMEDC, 2007. http://dx.doi.org/10.1115/ijtc2007-44449.

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Cracking of a fluid filled subsurface crack is studied by the distributed dislocation technique within the framework of two-dimensional linear elastic fracture mechanics. The opening volume of the horizontal Griffith crack is fully occupied by an incompressible fluid. In the presence of friction, a moving Hertzian line contact load is applied at the surface of the half plane. The induced hydrostatic fluid pressure inside the crack is calculated through an iterative scheme with the restriction that due to the fluid incompressibility there is no change of the crack-opening volume (COV). The stre
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Field, Brandon S., and Pega Hrnjak. "Adiabatic Two-Phase Pressure Drop of Refrigerants in Small Channels." In ASME 4th International Conference on Nanochannels, Microchannels, and Minichannels. ASMEDC, 2006. http://dx.doi.org/10.1115/icnmm2006-96200.

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The adiabatic pressure drop of two-phase refrigerant flow in small channels has been investigated. A rectangular channel with dh = 148.0 μm has been tested with four refrigerants: R134a, R410A, Propane (R290) and Ammonia (R717). This data has been combined with data taken from five different channels, with dh varying from 70 μm to 305 μm, of R134a. The measured pressure drops are compared to many published separated-flow and homogeneous pressure drop models. A new correlation for C, the Chisholm parameter, has been developed based on Reynolds number of the vapor phase (which contains the major
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Winiarski, B., and I. A. Guz. "The Effect of Cracks Interaction on the Critical Strain in Orthotropic Heterogeneous Material Under Compressive Static Loading." In ASME 2006 International Mechanical Engineering Congress and Exposition. ASMEDC, 2006. http://dx.doi.org/10.1115/imece2006-13688.

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Laminar composites due to their internal structure and manufacturing methods contain a number of inter- and intra- component defects which size, dispersion and mutual interaction alter significantly the critical compression strain level. The current paper is one of the first attempts to study the crack interaction in orthotropic materials compressed in a static manner along interlaminar defects. For laminated composites compressed along layers and, therefore, along the mentioned interfacial defects, the classical Griffith - Irvin criterion of fracture or its generalization are inapplicable and
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Berg, Samantha, Catherine Neubauer, Shan Lakhmani, Andrea Krausman, Sean Fitzhugh, and Daniel Forster. "Psychometric Properties of Team Resilience and Team Complementarity as Human-Autonomy Team Cohesion Factors." In 14th International Conference on Applied Human Factors and Ergonomics (AHFE 2023). AHFE International, 2023. http://dx.doi.org/10.54941/ahfe1003762.

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Adopting autonomous systems into human teams will likely affect the development of critical team states like cohesion. Thus, there is a need to understand how critical states emerge and change within human-autonomy teams and how they can be measured. To address these shortcomings, we developed a novel self-report scale to assess cohesion in human-autonomy teams. We created an initial pool of 134 items from the human team literature, selected to indicate the following dimensions: function-based task cohesion, structural cohesion (Griffith, 1988), interpersonal cohesion (Carron et al., 1985), an
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Karlsson, A. M. "Modeling the Debonding Behavior of Step-Tapered Patches: Analytical Solutions and Numerical Analysis of Selected Structures." In ASME 1999 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 1999. http://dx.doi.org/10.1115/imece1999-0517.

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Abstract A common method to strengthening or stiffening a weak part of an airplane structure is to adhere a patch over the inferior surface. Typically, this is done in order to prevent a crack from initiating, or to prevent an already existing crack from growing. Evaluation of the efficiency of the patch has traditionally been done with respect to the extent of crack growth, (e.g. Park et al. 1992, and Paul and Jones, 1992), which of course is of crucial interest. However, the integrity of the patched system needs to be considered as well, since the failure of the composite system (formed by t
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