Solving linear and nonlinear three-dimensional problems of fracture mechanics by a semi-analytic finite element method. Part 2. A procedure for computing the invariant J-integral in fem discrete models

Solving linear and nonlinear three-dimensional problems of fracture mechanics by a semi-analytic finite element method. Part 2. A procedure for computing the invariant J-integral in fem discrete models

A new procedure for computing the J-integral for FEM discrete models, which is based on the use of magnitudes of nodal reactions and displacements, has been implemented. The paper presents theoretical substantiation and practical evidence that confirm the invariance of the J-integral values found by...

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Veröffentlicht in:Strength of materials 2011-03, Vol.43 (2), p.122-133
Hauptverfasser: Bazhenov, V. A., Gulyar, A. I., Piskunov, S. O., Sakharov, A. S., Shryl’, A. A., Maksimyuk, Yu. V.
Format: Artikel
Sprache:eng
Schlagworte:
Analysis
Characterization and Evaluation of Materials
Chemistry and Materials Science
Classical Mechanics
Computation
Exact sciences and technology
Finite element method
Fracture mechanics
Fracture mechanics (crack, fatigue, damage...)
Fundamental areas of phenomenology (including applications)
Inelasticity (thermoplasticity, viscoplasticity...)
Invariants
J integral
Materials Science
Mathematical analysis
Mathematical models
Methods
Physics
Solid Mechanics
Structural and continuum mechanics
Three dimensional
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Zusammenfassung:A new procedure for computing the J-integral for FEM discrete models, which is based on the use of magnitudes of nodal reactions and displacements, has been implemented. The paper presents theoretical substantiation and practical evidence that confirm the invariance of the J-integral values found by this procedure for the case of cracks of Mode I and mixed fracture mode. A three-dimensional elastic-plastic deformation problem for a compact specimen has been solved.
ISSN:0039-2316
1573-9325
DOI:10.1007/s11223-011-9278-9