Stress Concentration Behavior in Finite Plates with Circular Holes: Dimensionless Analytical Modeling, Finite Element Verification, and Stationary-Point Analysis

LATIN AMERICAN JOURNAL OF SOLIDS AND STRUCTURES, cilt.23, sa.11, ss.1-24, 2026 (SCI-Expanded, Scopus)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 23 Sayı: 11
Basım Tarihi: 2026
Doi Numarası: 10.1590/1679-7825/e9147
Dergi Adı: LATIN AMERICAN JOURNAL OF SOLIDS AND STRUCTURES
Derginin Tarandığı İndeksler: Academic Search Ultimate (EBSCO), Scopus, Science Citation Index Expanded (SCI-EXPANDED), Compendex, Directory of Open Access Journals
Sayfa Sayıları: ss.1-24
İstanbul Gelişim Üniversitesi Adresli: Evet

Circular holes influence stress fields and raise local stresses in finite width components. This work is devoted to the

analytical modeling and the finite element analysis of a rectangular plate with a central circular hole under uniaxial

tension. Stress-concentration data from a classical design curve were fitted to a third-order polynomial by ordinary

least squares and combined with the net-section nominal stress to produce a dimensionless maximum-stress model

that accounts for local amplification and ligament reduction. The formulation recovers the Kirsch limit for a plate of

infinite width and predicts an asymptotic rise in stress as the remaining ligament approaches zero. The stationary

points were classified according to their mathematical and physical admissibility. The physically admissible

stationary points were x=0.0195 (normalized-stress-only case) and x=0.2158 (equal-weight case) which were both

treated as objective-function-dependent geometric indicators rather than universal optima. Analytical–numerical

differences were in the range of 1.40–3.65% with a mean of 2.69% from Abaqus/CAE simulations using locally

refined CPS8R plane-stress elements