A Singular Nonlinear History-Dependent Cohesive Zone Model: Is it Possible?. Issue 3 (20th May 2020)

• Record Type: Journal Article
• Authors: Argatov, I I
• Is Part Of: Quarterly journal of mechanics and applied mathematics. Volume 73:Issue 3(2020:Aug.)
• Page Start: 201
• Page End: 215
• Publication Date: 2020-05-20
• Subjects: Mechanics -- Mathematics -- Periodicals; Applied mathematics -- Periodicals; 530.1
• DOI: 10.1093/qjmam/hbaa007
• Languages: English
• ISSNs: 0033-5614

Abstract

Summary: A history-dependent cohesive zone model is considered in the linear elasticity framework with the cohesive stresses governed by the fracture condition formulated in terms of a nonlinear Abel-type integral operator. A possibility for the cohesive stresses to possess a weak singularity has been examined by utilizing asymptotic modeling approach. It has been shown that the balance of the leading-term asymptotic representations in the model equations is possible for nonsingular cohesive stresses only.