Abstract
In this chapter, a brief outline on classical fracture and failure hypotheses for materials under static loading will be given. The word classical this context means in that most of these so-called strength hypotheses are already quite old. Partially they date back to considerations made at the end of the 19th or the beginning of the 20th century and they are inseparably associated with the development of solid mechanics at that time. Through modern fracture mechanics they have been pushed into the background, as far as research is regarded. However, because of their wide spreading which, last but not least, is due to their simplicity, they are still of remarkable importance.
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References
Gould, P.L. Introduction to Linear Elasticity. Springer, New York, 1993
Paul, B. Macroscopic Criteria for Plastic Flow and Brittle Fracture. In Fracture – A Treatise, Vol. 2, ed. H. Liebowitz, pp. 315-496, Academic Press, London, 1968
Nadai, A. Theory of Flow and Fracture of Solids, Vol. 1. McGraw-Hill, New York, 1963
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Gross, D., Seelig, T. (2018). Classical fracture and failure hypotheses. In: Fracture Mechanics. Mechanical Engineering Series. Springer, Cham. https://doi.org/10.1007/978-3-319-71090-7_2
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DOI: https://doi.org/10.1007/978-3-319-71090-7_2
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