학술논문

A model of void coalescence in columns.
Document Type
Journal
Author
Torki, M. E. (1-PA-EN) AMS Author Profile; Medrano, F. A. (1-TXAM-AE) AMS Author Profile; Benzerga, A. A. (1-TXAM-AE) AMS Author Profile; Leblond, J.-B. (F-PARIS6-IJA) AMS Author Profile
Source
Journal of the Mechanics and Physics of Solids (J. Mech. Phys. Solids) (20230101), 171, Paper No 105134, 23~pp. ISSN: 0022-5096 (print).eISSN: 1873-4782.
Subject
74 Mechanics of deformable solids -- 74A Generalities, axiomatics, foundations of continuum mechanics of solids
  74A60 Micromechanical theories
Language
English
Abstract
Summary: ``Void coalescence in columns (or {\it necklace} coalescence) is a computationally confirmed and physically observed mechanism of void link-up in metal alloys and polymers that has received little attention in the literature. Here, analytical treatment of the phenomenon proceeds from first principles of limit analysis and homogenization theories. A cylindrical unit cell embedding a cylindrical void of finite height is considered under axially symmetric loading. Two types of trial velocity fields are used in seeking an upper bound to the yield criterion corresponding to the particular regime of coalescence in columns. For each type, exact expressions of the overall yield criterion are obtained, albeit in implicit form when using continuous fields. Upon comparison with other modes of yielding allowing for void growth and coalescence in layers, an actual effective yield domain is obtained so as to ascertain regimes of stress state and microstructural states where void coalescence in columns prevails. The predictions are also assessed against finite element based limit analysis.''