On a Study of the Use of the (Ṫ) Integral in Fracture Analysis of Solids With Inelastic Rate-Constitutive Laws

[+] Author and Article Information
M. Nakagaki

Naval Research Laboratories, Washington, D.C. 20375

S. N. Atluri

Center for the Advancement of Computational Mechanics, School of Civil Engineering, Georgia Institute of Technology, Atlanta, Ga. 30332

J. Pressure Vessel Technol 104(4), 331-337 (Nov 01, 1982) (7 pages) doi:10.1115/1.3264225 History: Received August 23, 1982; Online November 05, 2009


Here, the following topics are discussed: (i) a new integral (ΔT 1 ) of relevance in the presence of cracks in an elastic-plastic material characterized by a rate-independent incremental constitutive law under the assumption of infinitesimal deformations, (ii) the conditions for path-independency of this integral, (iii) the physical meaning of (ΔT 1 ) whether or not it is path-independent, (iv) its relation to J under conditions of radial loading when deformation theory of plasticity may be valid. The features of this new parameter (ΔT 1 ) are brought out in a numerical solution of a compact tension specimen which is subject to a history of (displacement-controlled) loading/unloading/reloading. The implications of the present results in the context of more rational elastic-plastic fracture criteria are briefly discussed.

Copyright © 1982 by ASME
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