Revisiting Energy Release Rates in Brittle Fracture
نویسندگان
چکیده
منابع مشابه
Revisiting Energy Release Rates in Brittle Fracture
We revisit in a 2d setting the notion of energy release rate, which plays a pivotal role in brittle fracture. Through a blow-up method, we extend that notion to crack patterns which are merely closed sets connected to the crack tip. As an application, we demonstrate that, modulo a simple meta-stability principle, a moving crack cannot generically kink while growing continuously in time. This la...
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The temporal evolution of mechanical energy and spatially averaged crack speed are both monitored in slowly fracturing artificial rocks. Both signals display an irregular burstlike dynamics, with power-law distributed fluctuations spanning a broad range of scales. Yet, the elastic power released at each time step is proportional to the global velocity all along the process, which enables defini...
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We consider a brittle fracture taking account of self-equilibrated distributed stresses existing at microlevel in the absence of external forces. To determine how the latter can affect the crack equilibrium and growth, a model of a structured linearly elastic body is introduced, consisting of two equal symmetrically arranged layers (or half-planes) connected by an interface as a prospective cra...
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This thesis consists of three main chapters, an introduction, and an appendix. The introduction (chapter 1) gives a general historical introduction to the problem of brittle fracture in disordered media. Chapters 2 and 4 are concerned with various aspects of fracture in disordered fuse networks. Chapter 2 investigates the asymptotic properties of fracture strength distributions, and explores th...
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We present an a-posteriori method for computing rigorous upper and lower bounds of the J-integral in two dimensional linear elasticity. The J-integral, which is typically expressed as a contour integral, is recast as a surface integral which yields a quadratic continuous functional of the displacement. By expanding the quadratic output about an approximate finite element solution, the output is...
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ژورنال
عنوان ژورنال: Journal of Nonlinear Science
سال: 2010
ISSN: 0938-8974,1432-1467
DOI: 10.1007/s00332-010-9061-2