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Relevant bibliographies by topics / Generalized critical plane criterion

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Journal articles

Academic literature on the topic 'Generalized critical plane criterion'

Author: Grafiati

Published: 27 April 2023

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Journal articles on the topic "Generalized critical plane criterion"

1

Crăciun, Eduard Marius, Marin Marin, and Adrian Răbâea. "Anti-plane crack in human bone. I. Mathematical modelling." Analele Universitatii "Ovidius" Constanta - Seria Matematica 26, no. 1 (2018): 81–90. http://dx.doi.org/10.2478/auom-2018-0004.

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Abstract We consider an anti-plane crack in a bone, considered as an initially deformed orthotropic, linear elastic composite material. Elastic incremental fields in the composite material are obtained following theories of Guz’s representation and of Riemann-Hilbert problem. Critical values of crack propagation angle are determined using Sih’s generalized criterion.

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2

Craciun, Eduard Marius, Tomasz Sadowski, Liviu Marsavina, and Adrian Rabaea. "Mathematical Aspects Regarding Cracks Behaviour in Wood Composites." Key Engineering Materials 601 (March 2014): 108–11. http://dx.doi.org/10.4028/www.scientific.net/kem.601.108.

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In this paper we study the interaction of two unequal collinear cracks in a pre-stressed fiber reinforced wood composite material in anti-plane mode of fracture. A mathematical model is associated to the mechanical problem. Starting from the boundary, constitutive and far field conditions we obtain the representation of the incremental displacement, stress and strain fields using two complex potentials. Using Sih s generalized fracture criterion we determine the critical incremental shear stress which produce crack propagation and the crack tips propagation direction in a particular case of a

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3

Loghman, A., and M. A. Wahab. "Loading and Unloading of Thick-Walled Cylindrical Pressure Vessels of Strain-Hardening Material." Journal of Pressure Vessel Technology 116, no. 2 (1994): 105–9. http://dx.doi.org/10.1115/1.2929562.

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A thick-walled closed-end cylinder of isotropic, homogeneous and strain-hardening material is considered in this study. Loading is assumed to consist of a temperature gradient as well as an internal pressure. Unloading is completely elastic without considering a Bauschinger effect. A generalized plane strain case in which the material obeys Von Mises yield criterion is studied. Using the yield criterion, critical conditions for a wide range of loading combinations and thickness ratios are investigated. After the critical condition is established, load is increased beyond the critical values an

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4

Kacker, Ruchin, and Shailendra Singh Bhadauria. "Investigations on critical anisotropic triaxiality at the crack tip under mixed-mode (I + II) fracture." Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 233, no. 13 (2019): 4688–706. http://dx.doi.org/10.1177/0954406219827337.

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In this analytical study, anisotropic triaxiality, at the yield loci of the crack tip under mixed-mode (I + II) loading, has been modeled. According to the well-known M-criterion the crack of any orientation from the loading axis, initiates at a polar angle at which criticality of triaxiality occurs. Thus, the critical values of triaxiality have been obtained by statistically evaluating the proposed model for various crack inclinations. The combination of six anisotropic constants classifies the five different yield conditions, which are useful in various alloys. Hill’s generalized anisotropic

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5

Liao, Mengke, Yuanming Lai, and Chong Wang. "A strength criterion for frozen sodium sulfate saline soil." Canadian Geotechnical Journal 53, no. 7 (2016): 1176–85. http://dx.doi.org/10.1139/cgj-2015-0569.

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Salt content has been proven to be an important influencing factor on the mechanical properties of frozen saline soils, whose strength criterion is different from that of unfrozen saline soils or frozen soils without salts. In this paper, a series of conventional triaxial tests are carried out for frozen saline soils with sodium sulfate at a temperature of –6 °C. A strength criterion of the frozen saline soils, including the influence of salt content, is established by using the generalized nonlinear strength theory. Based on conventional triaxial test results, a modified hydrostatic pressure

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6

Chang, Ming-Fang, Cee Ing Teh, and LaiFa Cao. "Critical state strength parameters of saturated clays from the modified Cam clay model." Canadian Geotechnical Journal 36, no. 5 (1999): 876–90. http://dx.doi.org/10.1139/t99-050.

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The evaluation of critical state strength parameters is important, especially with the introduction of limit state design. The modified Cam clay (MCC) model is often used, but it is suitable mainly for evaluating the critical state strength parameters from triaxial compression tests on isotropically consolidated soils. The initial stress condition of a natural soil is usually anisotropic, and the stress paths imposed by external loading could deviate from that of a simple triaxial compression. The use of MCC in practice deserves careful consideration. This paper describes a proposed extension

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7

Alinaghizadeh, Farhad, and Mahmoud Shariati. "Buckling Analysis of Variable Thickness Radially Functionally Graded Annular Sector Plates Resting on Two-Parameter Elastic Foundations by the GDQ Method." International Journal of Applied Mechanics 07, no. 06 (2015): 1550083. http://dx.doi.org/10.1142/s1758825115500830.

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In this paper, buckling analysis of thick radially functionally graded circular/annular sector plates with variable thickness resting on two-parameter elastic foundations is studied. The material properties vary along radial direction according to either an exponential or a power-law distribution. The stability equations are derived using the adjacent equilibrium criterion and are based on a higher order shear deformation theory. The generalized differential quadrature method is employed to discretize the stability equations and convert them into a system of algebraic eigenvalue problem. The f

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8

Roy, A. K., and S. W. Tsai. "Design of Thick Composite Cylinders." Journal of Pressure Vessel Technology 110, no. 3 (1988): 255–62. http://dx.doi.org/10.1115/1.3265597.

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A simple and efficient design method for thick composite cylinders is presented. Micromechanics and macromechanics are integrated by simple relations and the integrated micro and macromechanics approach has been adopted to enable the designers to instantly study the sensitivity of the micromechanical variables on the final design. The stress analysis is based on 3-dimensional elasticity by considering the cylinder in the state of generalized plane strain. The analysis for both open-ended (pipes) and closed-ended (pressure vessels) cylinders subjected to internal and external pressures and axia

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9

Nakhmanson, G. S., V. S. Kostennikov, and D. A. Nitsak. "Significance Level and the Strength of Test Shift Through the Finite Rate of the Transient Response." Ural Radio Engineering Journal 6, no. 4 (2022): 378–89. http://dx.doi.org/10.15826/urej.2022.6.4.002.

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A significance level and the strength of test shifts are studied then the error function as a transient response model of logical gate is used for testing of statistical hypothesis with Neumann-Pearson criterion. Shifts are rated for Rayleigh accumulated distributions. The generalized signalto-noise ratio is used as one of the variable parameters. The paper reveals that the finite slope of the transient response curve of logical gate results in a type I error increase. The significance level lock leads to bottom of critical region increase and the strength of test decrease in return. The twofo

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10

Craciun, Eduard Marius, Adrian Carabineanu, and Niculae Peride. "Fracture Analysis of an Oblique Crack Propagation in a Pre-Stressed Glass-Epoxy Composite." Key Engineering Materials 385-387 (July 2008): 733–36. http://dx.doi.org/10.4028/www.scientific.net/kem.385-387.733.

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We consider a pre-stressed material containing an oblique crack of a length 2a situated in x1x3 plane. We supposed that the material is unbounded and the crack faces are acted by constant normal incremental stresses p. The initial applied stress ◦ is in direction of the crack. Our first aim is to determine the elastic state produced in the body using Guz’s representation theorem. Our second aim is to determine the critical values of the incremental stresses and the direction of crack propagation. To do this, we use Sih’s generalised fracture criterion for an orthotropic elastic composite. In t

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