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

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

doi:10.1007/s10778-014-0634-x

Cited by 10 publications

(4 citation statements)

References 9 publications

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“…Substituting the candidate solutions (22) and (23) into Eqs. (20) and (21), we obtain two inhomogeneous algebraic equations for the derivatives of the functions A z D z ( ),... , ( ), which together with conditions (24) and (25) form an inhomogeneous system of algebraic equations, which is uniquely resolved for ¢ A z ( ),..., ¢ D z ( ).…”

Section: Formulation Of and Solutionmentioning

confidence: 99%

“…Substituting the candidate solutions (22) and (23) into the boundary conditions (26) and (27) transforms them into an inhomogeneous system of algebraic equations, which is uniquely resolved for A D , , K . The expressions for the constants A and D have simple-pole singularities when the parameter g is equal to the wave numbers of propagating symmetric Lamb waves at given frequency.…”

Section: Formulation Of and Solutionmentioning

confidence: 99%

“…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%

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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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Section: Formulation Of and Solutionmentioning

confidence: 99%

Section: Formulation Of and Solutionmentioning

confidence: 99%

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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 crack problem is a classical scientific problem. Many research works have carried out detailed research on this problem [26][27][28][29][30]. Gradient theories have been widely used to analyze the mode-III crack problem.…”

Section: Introductionmentioning

confidence: 99%

The Strain Gradient Viscoelasticity Full Field Solution of Mode-III Crack Problem

Ding

Lin

Wei

2022

Preprint

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The size effect and viscosity effect are both noticeable at the micro-/nano-scale. In the present work, the strain gradient viscoelastic solution of mode-III crack in an infinite quasi-brittle advanced material is proposed based on the strain gradient viscoelasticity theory by using Wiener-Hopf method. The solutions of the gradient-dependent viscoelastic crack problem are obtained directly by using the correspondence principle between the strain gradient viscoelasticity and strain gradient elasticity in Maxwell standard linear solid model. In this model, the stress near the crack tip is time-dependent and size-dependent. Besides, the stress near the crack tip is larger than that which is in gradient elasticity theory. The location and the value of maximum stress change with time,which differs from the case in strain gradient elasticity theory.The time that normalized stress take to stabilize also changes with the changing of with distances from the crack tip. When viscoelasticity is neglected or time tends to infinity, the strain gradient viscoelasticity theory can be reduced to the classical strain gradient elasticity theory.

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The strain gradient viscoelasticity full field solution of mode-III crack problem

2023

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

Cited by 10 publications

References 9 publications

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

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

The Strain Gradient Viscoelasticity Full Field Solution of Mode-III Crack Problem

The strain gradient viscoelasticity full field solution of mode-III crack problem

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