Motorcycle mechanics by George Lear, Lynn S. Mosher

By George Lear, Lynn S. Mosher

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Analytical (or closed-form) solutions were obtained for the simpler geometries and configurations, and numerical solutions were provided, or could be readily obtained with modern finite-element analysis codes, for the more complex cases. , Sih [2]; Tada et al. [3]; Broek [4]). Others can be obtained by superposition, or through the use of computational techniques. , the infinitesimal or small strain theory for elasticity). Some three-dimensional problems have also been solved; however, they are limited principally to axisymmetric cases.

Typical load-displacement curve for an ideally brittle material with a through-thickness crack. Displacement is measured across the crack opening. 11. Crack growth resistance curve for an ideally brittle material. incr. σ R Curve a ao growth resistance curve would be independent of crack length, but the critical stress for failure would be a function of the initial crack length as indicated by Eqn. 21). In real materials, however, some deviation from linearity or crack growth would occur with increases in load.

14. A schematic illustration of the loaddisplacement curve and a typical example of a specimen fractured in Region B. 15. A schematic illustration of the two types of load-displacement curves for specimens of different thickness fractured in Region C. δ For type 1 behavior (left), fracture is abrupt, nonlinearity is associated with the development of the crack-tip plastic zone. For type 2 behavior (right), on the other hand, each point along the load-displacement curve would correspond to a different effective crack length, which corresponds to the actual physical crack length plus a ‘correction’ for the zone of crack-tip plastic deformation (see Chapter 4).

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