On a study of the use of the (T·_) integral in fracture analysis of solids with inelastic rate-constitutive laws

M. Nakagaki, S. N. Atluri

Research output: Contribution to journalArticle

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Abstract

Here, the following topics are discussed: (i) a new integral (ΔTl) of relevance in the presence of cracks in an elastic-plastic material characterized by a rateindependent incremental constitutive law under the assumption of infinitesimal deformations, (ii) the conditions for path-independency of this integral, (in) the physical meaning of (ΔTl) 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 (ΔTl) 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.

Original languageEnglish
Pages (from-to)331-337
Number of pages7
JournalJournal of Pressure Vessel Technology, Transactions of the ASME
Volume104
Issue number4
DOIs
StatePublished - Nov 1982

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