Abstract:
Based on the theory of an ideal rigid-plastic body, an approach is formulated for determining fracture constants on the basis of standard mechanical tests on uniaxial extension of plane and cylindrical samples. Instead of the experimentally determined characteristics of fracture of materials (dimensionless elongation and constriction of the sample during its fracture), two invariant tensor characteristics of the degree of sample deformation are introduced, which correspond to the moment of origination of a macrocrack and critical strain at the crack tip determining the process of crack propagation.
Citation:
A. I. Chromov, A. A. Bukhan'ko, O. V. Kozlova, S. L. Stepanov, “Plastic constants of fracture”, Prikl. Mekh. Tekh. Fiz., 47:2 (2006), 147–155; J. Appl. Mech. Tech. Phys., 47:2 (2006), 274–281
This publication is cited in the following 5 articles:
O.V. Kozlova, S.A. Gordin, I.V. Zaychenko, “The Problem of Stretching a Hollow Cylinder”, KEM, 887 (2021), 640
O.V. Kozlova, A.I. Khromov, “Strain-Energy Criteria for the Destruction of Ideal Rigid-Plastic Bodies”, MSF, 992 (2020), 987
A. A. Bukhan'ko, “Plasticity condition related with level lines of strain
states surface, and features of its application in the ideal
plasticity theory”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 130 (2013), 199–206
A.I. Khromov, A.A. Bukhanko, S.L. Stepanov, E.P. Kocherov, “Concentrators of deformations and fracture of plastic bodies”, Journal of Computational and Applied Mathematics, 215:2 (2008), 457
A. Khromov, D. Fedorchenko, E. Kocherov, A. Bukhanko, Experimental Analysis of Nano and Engineering Materials and Structures, 2007, 315