The last two decades have seen considerable changes in the way fractures, including dynamic fractures, have been analysed. Conventional fracture mechanics approaches have slowly given way to more sophisticated and predictive ones including cohesive zone or traction-separation models. Popular for their simplicity and the ease with which they can be implemented into numerical codes, these need to prescribe the tractions holding the fracturing surfaces against the separation distance between them. It was thought that the main parameter of the model was the area under the traction-separation curve corresponding to fracture energy, while the shape of the curve would be of minor importance. However, as attempts were made to model complex problems it also became clear that the entire shape of the curve is often very important. Furthermore, the traction-separation laws were found to depend on constraint conditions apart from rate and temperature. The most important question for the fracture community pursuing the use of cohesive zone models should be how to obtain these laws. Covering various aspects of dynamic fractures this book contains state-of-the-art contributions from leading scientists in the field of crack dynamics.
20 pages matching fundamental solutions in this book
Results 1-3 of 20
What people are saying - Write a review
We haven't found any reviews in the usual places.
Aliabadi anisotropic solids applied approximation assumed asymptotic behaviour boundary element method branching cohesive planes cohesive strength cohesive surfaces cohesive zone computed constant velocity continuum convolution quadrature formula crack acceleration crack edge crack front crack growth crack length crack propagation crack speed crack surface crack tip speed crack velocity domain dynamic crack dynamic fracture dynamic stress intensity elastic waves elastodynamic stress intensity energy flux fast crack finite Fract fracture mechanics fracture processes fracture surface fundamental solutions Green's functions high strain rate Hooke's law hypersingular increase initial notch inplane crack integral equation isotropic Laplace transform ligaments linear load Mech micro-cracks mode I crack normal obtained orthotropic material plane strain plastic plate PMMA process region Rayleigh wave Rayleigh wave speed scattered shear shown in Figure simulations small scale yielding specific energy dissipation specimen static stress intensity factors time-domain BEM/BIEM time-domain traction time-step transversely isotropic solid Young's modulus