Abstract
In certain cases it is possible to construct work potentials and J-like path-independent integrals for monolithic or composite nonlinear viscoelastic media. In this paper we discuss some situations in which such quantities exist and are useful in the study of quasi-static initiation and continuation of crack growth. The so-called quasi-elastic approximation and a constitutive equation in the form of a single hereditary integral provide the basis for using J or J-like integrals as fracture characterizing parameters during initiation and the early stages of crack growth. It is also shown that in some cases with significant crack growth the instantaneous crack speed can be characterized in terms of a similar path-independent integral. The problem of characterizing growth of large cracks in viscoelastic media with micro-damage is discussed briefly.
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© 1990 Springer Science+Business Media Dordrecht
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Schapery, R.A. (1990). On some path independent integrals and their use in fracture of nonlinear viscoelastic media. In: Knauss, W.G., Rosakis, A.J. (eds) Non-Linear Fracture. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-2444-9_13
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DOI: https://doi.org/10.1007/978-94-017-2444-9_13
Publisher Name: Springer, Dordrecht
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