Subcritical Growth of a Mode III Crack in a Viscoelastic Composite Body

Kaminsky, A. A.; Selivanov, M. F.; Chernoivan, Yu. A.

doi:10.1007/s10778-013-0567-9

Cited by 7 publications

(4 citation statements)

References 8 publications

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“…To find the solution for the crack opening displacement in the time domain, we will use the principle of elastoviscoelastic analogy [8], replacing the time-dependent relaxation characteristic [13] by its transform [5]:…”

Section: Viscoelastic Crack Opening Displacement For Two Collinear Crmentioning

confidence: 99%

“…The numerical results discussed below were obtained for a plate with the following rheological parameters of model (13): E ¥ = 40 MPa, E 0 = 4000 MPa, d = 0.5, b = -01 . sec d .…”

Section: Numerical Solution Of the Crack Growth Equationsmentioning

confidence: 99%

“…The kinetics of the growth of a single crack in a linear viscoelastic body was studied in [2,13] using the Leonov-Panasyuk-Dugdale model. Much fewer crack growth problems have been solved for crack arrays in viscoelastic bodies.…”

Section: Introductionmentioning

confidence: 99%

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Initial Fracture of a Viscoelastic Isotropic Plate with Two Collinear Cracks of Equal Length

2014

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The stress-strain state of an unbounded linear viscoelastic isotropic body weakened by collinear cracks of equal length and subjected to a time-independent load normal to the cracks is studied. The expression for the crack opening displacement in the nonlinear range that is derived based on the Leonov-Panasyuk-Dugdale model is used to deduce the equations of subcritical crack growth. A numerical algorithm for solving them is presented. The solutions of the equations describing subcritical crack growth are analyzed in determining the duration of the initial crack growth period. The numerical results are presented as graphs and tables Introduction. Linear and nonlinear problems of fracture mechanics are analyzed in [7,[9][10][11][12]. The kinetics of the growth of a single crack in a linear viscoelastic body was studied in [2, 13] using the Leonov-Panasyuk-Dugdale model. Much fewer crack growth problems have been solved for crack arrays in viscoelastic bodies. This subject is very important because collinear cracks growing under creep may form a main crack, which may lead to ultimate failure. One of such problems for two collinear macrocracks of equal length in a viscoelastic plate under tension was solved in [2]. It was solved numerically for small fracture process zones using the approximate elastoplastic solution from [1], where only simple models of viscoelastic bodies with symmetrically growing cracks were considered.We will solve a similar problem for nonsmall fracture process zones using the exact elastoplastic solution from [3] and modern applied viscoelastic models.Our study will include the following stages: determination of the elastic opening displacement of two collinear cracks of equal length in the nonlinear range, analysis of its time dependence, derivation of the equation describing the subcritical growth of the cracks, analysis of the numerical solutions obtained.

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Section: Viscoelastic Crack Opening Displacement For Two Collinear Crmentioning

confidence: 99%

“…The numerical results discussed below were obtained for a plate with the following rheological parameters of model (13): E ¥ = 40 MPa, E 0 = 4000 MPa, d = 0.5, b = -01 . sec d .…”

Section: Numerical Solution Of the Crack Growth Equationsmentioning

confidence: 99%

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Initial Fracture of a Viscoelastic Isotropic Plate with Two Collinear Cracks of Equal Length

2014

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“…Moreover, the current understanding of fracture mechanics [10,17,[21][22][23] allows us to provide a well-founded (to some extent) physical interpretation for this relationship.…”

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confidence: 99%

Modeling the Radiation of Ultrasonic Waves by a Unit Source of Acoustic Emission Noise

Petrishchev

Trushko

2015

Int Appl Mech

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The generation of radial Lamb waves by a system of volume and surface loads acting within a finite region of an isotropic elastic plate is studied. General solutions are used to model the emission of ultrasonic waves in an isotropic plate by a unit source of acoustic emission noise of two model configurations: linear and point. It is established that the results for a pulsating linear source are in qualitative agreement with Torwick's solution to the physically equivalent problem of the emission of Lamb waves by a longitudinal harmonic force acting at the end of a half-strip. The generation of Lamb waves in a plate by a point source is modeled to asses how effectively the energy of elastic vibrations is extracted from the source and is transferred through the plate by different modes and at different frequencies Keywords: acoustic emission, Lamb waves, nondestructive testing Introduction. Of many nondestructive testing methods, the acoustic-emission method has recently become more and more popular. This method has the following considerable advantages. First, the method is applied not to detect current damage, but to predict, by analyzing test data, the development of damage depending on the operating conditions. Such a prediction does not assume conducting external calculations or invoking the structure design and operation history [11]. Second, unlike the active methods in which the parameters of radiation are a factor that affects, to some extent, the test data, the "primary source" in this method is a defect [9]. Third, the diagnostic process does not require constant active participation of the personnel after installation and setting of the diagnostic system. Moreover, during diagnostics, the personnel and the analytical data processing units of the system can be far from the object, which is important in case of risk of an emergency [1,11]. The method is most frequently used for continuous monitoring usually for a rather long time, sometimes for the entire service life.Experimental research has reliably established a relationship between the spectral and energy characteristics of acoustic emission noise and the scales of the deformation processes in materials [2,3,9,11,14,16,19,20,25,27]. Moreover, the current understanding of fracture mechanics [10,17,[21][22][23] allows us to provide a well-founded (to some extent) physical interpretation for this relationship.An experimentally proved fact is that the acoustic-emission method can be used to measure stresses (strains) in a material, detect various defects, determine their coordinates, assess the danger of defects, and solve other problems of structural assessment. These methods have not, however, been applied in practice at a level appropriate to their real capabilities. This is due to their relative novelty and some unclear aspects of the acoustic-emission theory such as the mechanism of delivery of energy from a source of acoustic emission noise along structural elements as waveguides to an electroacoustic transducer detecting ultrasonic waves. A featur...

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Stress Distribution Around Cracks in Linear Hardening Materials Subject to Tension: Plane Problem

Khoroshun

Levchuk

2014

Int Appl Mech

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Subcritical Growth of a Mode III Crack in a Viscoelastic Composite Body

Cited by 7 publications

References 8 publications

Initial Fracture of a Viscoelastic Isotropic Plate with Two Collinear Cracks of Equal Length

Initial Fracture of a Viscoelastic Isotropic Plate with Two Collinear Cracks of Equal Length

Modeling the Radiation of Ultrasonic Waves by a Unit Source of Acoustic Emission Noise

Stress Distribution Around Cracks in Linear Hardening Materials Subject to Tension: Plane Problem

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