Dynamic Viscoelastic Fracture

A semi-infinite crack in an infinite material body provides a canonical model with which to study the local crack-tip behavior of propagating cracks that avoids complicated analytical details arising in the consideration of finite length cracks in bounded bodies. Moreover, semi-infinite crack problems frequently admit analytical solutions with which one can examine precisely the behavior of relevant fracture parameters and calibrate alternative numerical schemes which must be employed in more complicated settings for which analytical solutions are not obtainable. These five chapters present analytical solution methods and results for a variety of dynamic, semi-infinite crack models within the context of linear viscoelasticity theory. In the introductory chapter, the general framework for constructing solutions to these semi-infinite crack problems is presented along with a discussion of the physical settings in which classical quasi-static analyses for elastic material models prove inadequate and which motivate the consideration of inertial effects and material viscoelasticity. The remaining chapters present detailed solutions to various canonical problems for both anti-plane shear and plane strain modes of deformation, and under both steady-state and transient crack propagation conditions. In particular, chapters 4 and 5 contain a description of a recently developed method for constructing solutions to dynamically accelerating, semi-infinite, anti-plane shear crack problems in viscoelastic material, and the result of applying the method to the case of an Achenbach-Chao material model.

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