A criterion for ductile crack growth based on the energy momentum tensor
Binante V., Frediani A.
Fracture mechanics Constitutive models
It is well known that in quasi-static crack propagation under growing external loads a Griffith-like energy balance predicts no energy surplus for fracture; this result is known as the paradox of Rice . The paradox is generally attributed to the assumptions of small scale yielding and perfect plasticity of material. In this paper we show that the paradox does not lie in the assumptions of infinitesimal strain conditions, neither in the work-hardening rules. Afterwards, we investigate the stress and strain fields, ahead of the crack front in the case of large scale yielding at the crack tip, and discover that the trace of the Energy-Momentum Tensor assumes a constant value during the whole process of crack extension. When this value is assumed as a critical condition for crack growth, we obtain a curve load versus crack extension in excellent agreement with available experimental data. The Rice's paradox is thus overcome, and a new criterion for ductile crack growth is introduced.
Source: Variational Analysis and Aerospace Engineering II: Mathematical Challenges for Aerospace Design, edited by Buttazzo G., Frediani A., pp. 67–92. New York: Springer, 2012
Publisher: Springer, New York, USA
Metrics
Back to previous page
@inbook{oai:it.cnr:prodotti:216651,
title = {A criterion for ductile crack growth based on the energy momentum tensor},
author = {Binante V. and Frediani A.},
publisher = {Springer, New York, USA},
doi = {10.1007/978-1-4614-2435-2_4},
booktitle = {Variational Analysis and Aerospace Engineering II: Mathematical Challenges for Aerospace Design, edited by Buttazzo G., Frediani A., pp. 67–92. New York: Springer, 2012},
year = {2012}
}
0000-0002-4071-5794