This paper addresses the problem of crack extension in a material such as rubber, animal membrane or human membrane where the resistance to deformation shows a marked increase when the strain exceeds a critical level, i.e. the stress-strain curve is J-shaped and convex with respect to the strain axi
Crack extension in a material with a J-shaped stress-strain curve
β Scribed by E. Smith
- Publisher
- Elsevier Science
- Year
- 1989
- Tongue
- English
- Weight
- 457 KB
- Volume
- 112
- Category
- Article
- ISSN
- 0921-5093
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β¦ Synopsis
The paper is concerned with the problem of crack extension in materials such as rubber, animal membranes or human membranes, where the stress-strain curve is J shaped, i.e. there is a low resistance to tensile deformation initially, followed by a considerably greater resistance before failure. Analysis of a very simple simulation model, which takes due account of the discreteness of the material's structure, shows that the work of fracture or effective fracture energy 7elf can be large and can be considerably greater than the value which is obtained by regarding it as the area under the force law curve, as would be the case if the material is regarded as a continuum. The theoretical predictions accord with experimental observations that 7~ff is large for a material with a J-shaped stress-strain curve.
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