Cohesive modeling of crack nucleation in a cylindrical electrode under axisymmetric diffusion induced stresses

• Published in: International journal of solids and structures Vol. 48; no. 16; pp. 2304 - 2309
• Main Authors: Bhandakkar, Tanmay K., Gao, Huajian
• Format: Journal Article
• Language: English
• Published: Kidlington Elsevier Ltd 01.08.2011; Elsevier
• Subjects: Cohesion; Cohesive zone; Crack initiation; Cross-disciplinary physics: materials science; rheology; Diffusion; Diffusion-induced stress; Electrodes; Exact sciences and technology; Flaw tolerance; Fracture; Fracture mechanics; Fracture mechanics (crack, fatigue, damage...); Fundamental areas of phenomenology (including applications); Intercalation–deintercalation; Lithium electrodes; Materials science; Nanoscale materials and structures: fabrication and characterization; Nanowire; Physics; Solid mechanics; Stresses; Strip; Structural and continuum mechanics; Two dimensional; Diffusion-induced stress; Flaw tolerance; Intercalation–deintercalation; Lithium electrodes; Nanowire; Fracture; Cohesive zone; Intercalation-deintercalation; Nucleation; Cohesive end; Rupture; Insertion; Lithium; Solutes; Modeling; Axial symmetry; Periodic structure; Intercalation compound; Nanometer scale; Fault tolerance; Focusing; ADiffusion; Nanowires; Localization; Crack
• ISSN: 0020-7683; 1879-2146
• DOI: 10.1016/j.ijsolstr.2011.04.005

We have recently modeled crack nucleation in a 2D strip electrode as localization of a periodic array of cohesive zones subject to diffusion induced stresses in an initially crack-free thin strip under galvanostatic solute insertion and extraction. Here we generalize this model to crack nucleation in a cylindrical electrode under axisymmetric diffusion induced stresses, focusing on the effect of the cylindrical geometry on the crack nucleation condition. Similar to our previous findings for the 2D strip geometry, the present analysis identifies a critical electrode size, typically in the nanometer range, to avoid crack nucleation.