Abstract
The present paper deals with a development of the virtual crack extension (VCE) method to arbitrary three-dimensional cracks under large displacements and/or large rotations. For this purpose, continuum mechanics formulations are introduced and the material is assumed to be nonlinear elastic. Illustrative examples are given for two crack problems under either large rotations or large displacements as well.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Cartan, H. (1976). Calcul Diffrentiel. Paris, Hermenn Editeur.
Destuynder, Ph. and Djaoua, M. (1981). Sur une interprétation mathématique de l'intégrale de Rice en théorie de la rupture fragile. Mathematical Methods in the Applied Science 3, 70-87.
De Lorenzi, H.G. (1982). On the energy release rate and J-integral for 3-D crack configuration. International Journal of Fracture 19, 183-193.
Griffith, A.A. (1921). The phenomena pf rupture and flow in solids. Philiospphi Translation of Royal SocietyLondon 221A, 163-197.
Haber, R.B. and Koh, H.M. (1985). Explicit expressions for energy release rates using virtual crack extensions. International Journal for Numerical Methods in Engineering 21, 301-315.
Hellen, T.K. (1975). On the method of virtual crack extension. International Journal for Numerical Methods in Engineering 9, 187-207.
Hellen, T.K. (1989). Virtual crack extenion method for non-linear materials. International Journal for Numerical Methods in Engineering 28, 929-942.
Hellen, T.K. (1991). The virtual crack extension method for for creep fracture. Fatigue and Fracture of Engineering Material Structure 14(6), 627-636.
Isida, M. (1955). On the tension of a strip with a central elliptical hole. Translation of Japanese Society of Mechanical Engineering 21, 37-49.
Parks, D.M. (1974). A stiffness derivative finite element technique for determination of crack tip stress intensity factors. International Journal of Fracture 10(4), 487-502.
Parks, D.M. (1977). The virtual crack extension method for nonlinear material behavior. Computer Methods in Applied Mechanics and Engineering 12, 353-364.
Parks, D.M. (1978). Virtual crack extension: a general finite element technique for J-integral evaluation. Procedure of First International Conference on Numerical Method in Fracture Mechanics, Swansea, England, 464-472.
Salençon, J. (1988). Mécanique des Milieux Continus. Tome 1 Concepts Généraux, Edition Ellipses.
Suo, X.Z. and Combescure, A. (1992). On the application of G.2/method and its comparison with De Lorenzi's approach. Nuclear Engineering and Design 135, 207-224.
Suo, X.Z. and Combescure, A. (1992). Double virtual crack extension method for crack growth stability assessment. International Journal of Fracture 57(2), 127-150.
Sussman, T. and Bathe, K.J. (1985). The gradient of the finite element variational indicator with respect to nodal polar coordinates. International Journal for Numerical Methods in Engineering 21, 763-774.
Yang, C.Y. and Palusamy, S.S. (1982). VCE method of Jdetermination for a pressurized pipe under bending. Aspects of Fracture Mechanics in Pressure Vessels and Piping (ASME PVP) 58, 143-158.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Suo, X., Valeta, M. Virtual crack extension in geometries under large displacements/rotations. International Journal of Fracture 89, 309–331 (1998). https://doi.org/10.1023/A:1007475422063
Issue Date:
DOI: https://doi.org/10.1023/A:1007475422063