Energy flux into the tip of an extending crack in an elastic solid

✍ Scribed by L. B. Freund

• Publisher: Springer Netherlands
• Year: 1972
• Tongue: English
• Weight: 575 KB
• Volume: 2
• Category: Article
• ISSN: 0374-3535
• DOI: 10.1007/bf00045718

✦ Synopsis

An expression for the energy flux into the tip of an extending crack in terms of the dynamic elastic field of the crack is derived on the basis of an overall energy rate balance. It is shown that the energy flux depends only on the near-tip elastic field. The expression is compared to other expressions for this dependence which have been proposed by Atkinson and Eshelby, by Achenbach and by Erdogan. The energy flux is calculated in terms of the stress intensity factor for a particular plane strain problem and an antiplane strain problem.

RIhSUMI~

Sur la base d'un 6quilibre 6nerg&ique dynamique global, le flux d'6nergie convergeant vers l'extr6mit6 d'une fissure en propagation est exprim6 en fonction du champ 61astique dynamique de la fissure. I1 est d~montr6 que ce flux d'6nergie ne d6pend que du champ dastique au voisinage imm6diat de l'extremit~ de ta fissure. L'expression obtenue est compar6e aux expressions pr6c6demment propos6es par MM. Atkinson et Eshelby, Mr. Achenbach, et Mr. Erdogan. Le flux d'~nergie est 6valu6 en fonetion du facteur d'intensit~ des contraintes dans les cas partictdiers d'un probl~me de d~formation plane et d'un probl~me darts lequel la direction du cisaillement est horizontale.