Path-dependent J-integrals under mixed-mode loads of mode I and mode II. (August 2018)

• Record Type: Journal Article
• Authors: Zou, Guangping; Chen, He
• Is Part Of: Theoretical and applied fracture mechanics. Volume 96(2018)
• Page Start: 380
• Page End: 386
• Publication Date: 2018-08
• Subjects: J-integrals -- Path-dependent -- Mixed-mode crack -- Stress intensity factor -- Numerical simulation; Fracture mechanics -- Periodicals; 620.1126
• DOI: 10.1016/j.tafmec.2018.05.014
• Languages: English
• ISSNs: 0167-8442

Abstract

Highlights: Static and dynamic J-integrals in mixed-mode I + II on arbitrary paths are investgated. Proved J1-integral is path-independent and J2-integral is path-dependent. The value of J2-integral relies on the beginning and the ending of integration path. Abstract: Because of its path-independence, the J-integral proposed by Rice is widely applied in fracturemechanics. In this paper, the static and dynamic J-integrals under mixed-mode loads of mode I and mode II are investigated on arbitrary integration paths surrounding the crack tip. The J1 integral is path- independent, but the J2 integral relies on the coordinate of the beginning and the end of the path. For paths that begins and ends at equidistant points from crack tip on different crack surfaces, the value of J-integrals are equal. Numerical analysis based on equivalent integration area method are carried out. The maximum deviation of solution on different paths are less than 1.23%, and the path-dependence of J-integrals is proved.This work may be helpful in fracture toughness tests of materials.