Energy release rate of small cracks in hyperelastic materials

• Published in: International journal of non-linear mechanics 2012-05, Vol.47 (4), p.22-29
• Main Authors: Aït-Bachir, M., Mars, W.V., Verron, E.
• Format: Article
• Language: English
• Subjects: Benchmarking; Configurational stress; Cracks; Cutting; Energy release rate; Engineering Sciences; Hyperelasticity; Materials; Mechanics; Nonlinearity; Orientation; Rubber-like materials; Strain; Stresses
• ISSN: 0020-7462; 1878-5638
• DOI: 10.1016/j.ijnonlinmec.2012.03.001

The energy release rate of a small crack in an infinite hyperelastic medium, and subjected to large strain multiaxial loading conditions, is derived by considering the balance of configurational stresses acting on two planes: one cutting the center of the crack face, and the other at an infinite distance in front of the crack tip. The analysis establishes that the energy release rate of a small crack is always proportional to the size of the crack, irrespective of the loading conditions and the crack orientation. The balance of configurational stresses is illustrated for several benchmark cases including simple extension, pure shear and equibiaxial extension, and for perpendicular and inclined cracks. ► We derive the energy release rate of a small crack in hyperelastic materials. ► It results in the balance of configurational stress between near- and far-fields. ► We prove that the energy release rate is ever proportional to crack length. ► The configurational stress balance always exhibits the same characteristic features.