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

Author:

Bazhenov V. A.,Gulyar A. I.,Piskunov S. O.,Sakharov A. S.,Shryl’ A. A.,Maksimyuk Yu. V.

Publisher

Springer Science and Business Media LLC

Subject

Mechanics of Materials

Reference8 articles.

1. V. A. Bazhenov, A. I. Gulyar, S. O. Piskunov, et al., “Solving linear and nonlinear three-dimensional problems of fracture mechanics by a semi-analytic finite element method. Part 1. Theoretical background and a study of efficiency of FEM procedure for solving three-dimensional problems of fracture mechanics,” Strength Mater., 43, No. 1, 15–24 (2011).

2. 2 E. Giner, F. Fuenmayor, L. Baeza, and J. Tarancon, “Error estimation for the finite element evaluation of G I and G II in mixed-mode linear elastic fracture mechanics,” Finite Elements in Analysis and Design, 41, 1079–1104 (2005).

3. O. S. Sakharov, Yu. V. Shcherbina, O. V. Gondlyakh, V. I. Sivets’kyi, The Integrated System for Process Modeling and Design of Equipment for Chemical Industry [in Ukrainian], Poligrafkonsalting, Kyiv (2006).

4. D. G. Shimkovich, Structural Design Using MSC/NASTRAN for Windows [in Russian], DMK, Moscow (2001).

5. E. Giner, F. J. Fuenmayor, and A. J. Besa, “An implementation of the stiffness derivative method as a discrete analytical sensitivity analysis and its application to mixed mode in LEFM,” Eng. Fract. Mech., 68 (18), 2051–2071 (2002).

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