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The Theory of Materials Failure$
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Richard M. Christensen

Print publication date: 2013

Print ISBN-13: 9780199662111

Published to Oxford Scholarship Online: May 2013

DOI: 10.1093/acprof:oso/9780199662111.001.0001

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The Perspective on Failure and Direction of Approach

The Perspective on Failure and Direction of Approach

(p.1) 1 The Perspective on Failure and Direction of Approach
The Theory of Materials Failure

Richard M. Christensen

Oxford University Press

The failure of materials comprises the ultimate non-linearity. The elusive goal has always been, and still is, to prescribe the limits of the load-bearing tolerance of materials without failure, under all conceivable stress states and for all types of materials. The physical basis for a predictive capability in these matters must be integral to the failure theory, and the associated mathematical statements of the conditions of safety or failure—the failure criteria—must be direct and easy to use. On a finer scale and in most basic terms, failure represents the absolute cessation of the linear range of behavior for elastic materials under load. The longstanding obstacles to progress are discussed, followed by the indicators for possible advancements using the modern tools of theoretical description. A broad-gage approach is directed toward application to all the major types of engineering materials. The guides for utility emphasize the advantages of unfolding the theory in a step-by-step, sequential manner, resulting in a comprehensive treatment of the subject. The book is intended for advanced-level instruction as well as a reference source for both research and applications.

Keywords:   failure, non-linear, stress states, materials types, engineering materials

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