Abstract
Continuum damage mechanics facilitates not only the modeling of crack initiation due to damage development but also the analysis of the damage and fracture process up to the final fracture. The local approach to fracture by means of continuum damage mechanics and finite element method has developed as a systematic engineering method to analyze the whole process of damage and fracture. At the end of this book, we consider the notion, applicability and the fundamental issues of this approach. Section 11.1 is concerned with its procedure, applicability and the related numerical problems. In Section 11.2, the material instability and the resulting loss of uniqueness will be discussed as the major causes of the mesh-sensitivity in time-independent (rate-independent) strain-softening materials.
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Notes
- 1.
This term was first proposed by Pineau (1980). In order to supplement the limitations of the linear- or nonlinear-fracture mechanics essentially based on the global fracture mechanics parameters, a new method of fracture analysis developed around the end of 1970s by modeling the fracture toughness at the crack tip by the use of the local fracture criterion. Pineau named this methodology “local approach to fracture”.
- 2.
- 3.
Bifurcation and the resulting localization in the general elastic-plastic and elastic-viscoplastic materials are referred to in Besson et al. (2010), where the problems of mesh dependence and its regularization in finite element analysis to be discussed in the subsequent Sections of 11.3 and 11.4 are also described.
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Murakami, S. (2012). Local Approach to Damage and Fracture Analysis. In: Continuum Damage Mechanics. Solid Mechanics and Its Applications, vol 185. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-2666-6_11
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