Determining the Parameters of Linear Fracture Mechanics in Dynamic Problems Based on Semianalytical Finite-Element Method

The results of studying the reliability and efficiency of the semianalytical finite-element method for determining the parameters of linear fracture mechanics in dynamic problems are presented. The effect of approximation of a crack by special finite elements on the accuracy of the calculated parame...

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Bibliographic Details
Published in:International applied mechanics Vol. 54; no. 6; pp. 653 - 659
Main Authors: Vabishchevich, M. O., Solodei, I. I., Chepurnaya, E. A.
Format: Journal Article
Language:English
Published: New York Springer US 01.11.2018
Springer Nature B.V
Subjects:
Applications of Mathematics
Classical Mechanics
Deformation
Equations of motion
Finite element analysis
Finite element method
Fracture mechanics
J integral
Mathematical analysis
Parameters
Physics
Physics and Astronomy
Pressure vessels
Reliability
Stress intensity factors
Time integration
prismatic body
dynamics
crack
J-integral
semianalytical finite-element method
dynamic stress intensity factor
body of revolution
ISSN:1063-7095, 1573-8582
Online Access:Get full text
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Summary:The results of studying the reliability and efficiency of the semianalytical finite-element method for determining the parameters of linear fracture mechanics in dynamic problems are presented. The effect of approximation of a crack by special finite elements on the accuracy of the calculated parameters of fracture mechanics is analyzed. The direct determination of the stress intensity factor (SIF) is compared to the energy approach based on the J-integral. The reliability of the method of reactions in dynamical problems for different schemes of time integration of the equations of motion is studied. As tests, the dynamical SIFs are determined for problems of mixed-mode fracture. The capabilities of the approach are demonstrated by studying the dynamic deformation of a high-pressure vessel with a ring crack.
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ISSN:1063-7095
1573-8582
DOI:10.1007/s10778-018-0919-6