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By Richard M. Christensen
A whole and complete idea of failure is built for homogeneous and isotropic fabrics. the complete diversity of fabrics kinds are lined from very ductile metals to tremendous brittle glasses and minerals. failure houses suffice to foretell the final failure stipulations less than all states of pressure. With this beginning to construct upon, many different points of failure also are handled, corresponding to extensions to anisotropic fiber composites, cumulative harm, creep and fatigue, and microscale and nanoscale techniques to failure.
В данной монографии изложена разработанная автором теория прочности для однородных изотропных материалов.
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Extra info for The Theory of Materials Failure
Sample text
Some aspects of the ductile/brittle problem will be discussed in Chapter 5, while the full ductile/brittle landscape is surveyed and assessed in Chapter 8. Before closing this derivation chapter, the limiting cases of these failure criteria will be examined closely. 6 Ductile and Brittle Limits Now consider the ductile and brittle limits that any general failure criterion should include. The ductile limit is easy and obvious. Most would agree that it must be the Mises criterion, while a few might prefer the Ductile and Brittle Limits 43 Tresca criterion.
With calibration by T , giving Case I, there is still the choice between the Mises and Tresca forms. Mises is smooth, while Tresca has corners. At the crystal level (single grain) yielding does associate with dislocation movement on slip planes. This is caused by shear stress on the slip system (resolved shear stress). It would be tempting to say that this justifies and validates the Tresca criterion. But that is only part of the consideration. The condition of isotropy implies and applies to polycrystalline aggregates with the individual crystals taking all possible orientations.
This is precisely what has been the “dead-end” path followed by nearly all previous failure criteria developments. Typically, additional criteria would be added, bringing in new parameters. This approach then invariably degenerates into a parameter-fitting operation, as described and discussed earlier. In doing so, the contact with physical reality becomes ever more thin and tenuous. 14). This new fracture criterion must not add any new parameters to the process, nor can it violate any of the failure interpretations already established.