By L. B. Freund
ISBN-10: 0511415044
ISBN-13: 9780511415043
ISBN-10: 0521303303
ISBN-13: 9780521303309
ISBN-10: 0521629225
ISBN-13: 9780521629225
This quantity emphasizes primary techniques, either at the improvement of mathematical versions of fracture phenomena and at the research of those types. instances regarding pressure waves impinging on cracks, tractions unexpectedly utilized to the faces of cracks, and fast crack development and arrest are thought of intimately. many of the paintings is worried with the habit of nominally elastic fabrics, yet on hand effects on elastic-plastic and elastic-viscoplastic fabrics are integrated. Connections to experimental effects and to functions in structural mechanics, seismology, and fabrics technology are famous at any time when attainable.
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Extra resources for Dynamic Fracture Mechanics (Cambridge Monographs on Mechanics)
Sample text
For this process to be successful, it is essential that the integrals taken along the circular arcs of large radius vanish as the radius becomes indefinitely large. This will be the case provided that w{x,s) —• 0 uniformly as |s| —> 00. 8) (Seebass 1983). The transform of the time derivative dw(x,t)/dt is / ^e~8t dt = 8w(x, s) - w(x, 0+). 11). 3 Analytic functions and Laplace transforms 35 parameter s. The parameter s can be manipulated algebraically. 8). The completeness of the representation of functions in terms of integral transforms is established by means of Fourier's integral theorem (Carrier et al.
The classification of crack opening modes I, II, and III based on the components of the relative displacement of the crack faces near the crack edge. the Rayleigh wave speed in glass and some other very brittle materials; the contact interaction of crack faces during dynamic fracture events in materials; the symmetric bifurcation of a straight, rapidly running crack in a tensile field into two branches; the influence of heat generated during rapid fracture on the separation process or on the stress distribution; atomistic modeling of dynamic cleavage; and the erosion of materials by impact of solid particles or liquid droplets.
Suppose that solutions of two different boundary value problems for a given body exist, say u and u*. Furthermore, suppose that the displacement and particle velocity are zero for both solutions at the initial time, say t = 0. In addition, suppose that no body forces are present in either boundary value problem. u(p ,r)drd5. 59) Js Jo The generalization of Betti's reciprocal theorem to elastodynamics, including body forces and general initial conditions, is discussed in detail by Gurtin (1972) and Achenbach (1973).
Dynamic Fracture Mechanics (Cambridge Monographs on Mechanics) by L. B. Freund
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