Solution for Griffith crack problem by power series

✍ Scribed by Wang Liangguo

• Publisher: Elsevier Science
• Year: 1982
• Tongue: English
• Weight: 79 KB
• Volume: 16
• Category: Article
• ISSN: 0013-7944
• DOI: 10.1016/0013-7944(82)90045-5

✦ Synopsis

have pointed out that for elasto-plastic modeled bodies a Griffith-type energy balance for crack growth leads to paradoxical results since there is no energy surplus provided in continuous crack advance to equate to a work of separation. They have also pointed out that this is due to the fact that we have taken the limit by putting A' -0 in establishing te corresponding criteria, where A' is the area of new surface produced during crack growth.

This paper shows that it is permissible to take the limit A '+O as a basic method in continuum mechanics and hence for elasto-plastic bodies the ideal crack model together with Griffith theory cannot be accepted although they have been successfully used for linear elastic ones. On this basis, a criterion, namely the criterion of intensity of surplus energy, has been proposed as an attempt with the blunting of the crack tip to be considered.