Quantification of the yield strength-to-elastic modulus ratio effect on TES plastic loads from finite element limit analyses of elbows

• Published in: Engineering fracture mechanics Vol. 76; no. 7; pp. 856 - 875
• Main Authors: Lee, Kuk-Hee, Oh, Chang-Sik, Kim, Yun-Jae, Yoon, Kee-Bong
• Format: Journal Article
• Language: English
• Published: Kidlington Elsevier Ltd 01.05.2009; Elsevier
• Subjects: Elbow; Exact sciences and technology; Finite element limit analysis; Fracture mechanics (crack, fatigue, damage...); Fundamental areas of phenomenology (including applications); Inelasticity (thermoplasticity, viscoplasticity...); Large geometry change; Physics; Plastic load; Solid mechanics; Static elasticity (thermoelasticity...); Structural and continuum mechanics; Twice-elastic-slope; TES; Finite element limit analysis; Twice-elastic-slope; Large geometry change; Plastic load; Elbow; FE; Elastic constant; Deformation modulus; Circumferential crack; Pipe bend; Experimental study; Modeling; Finite element method; Inelasticity; Elastoplasticity; Plasticity; Yield strength
• ISSN: 0013-7944; 1873-7315
• DOI: 10.1016/j.engfracmech.2008.12.009

This paper quantifies the effect of the yield strength-to-elastic modulus ratio on twice-elastic-slope plastic loads for 90-degree elbows under in-plane and out-of-plane bending. Based on extensive and systematic finite element limit analyses using elastic-perfectly plastic materials, simple regression equations between the yield strength-to-elastic modulus ratio and twice-elastic-slope plastic loads for elbows under in-plane closing, in-plane opening and out-of-plane bending are proposed, and validated against published experimental data. Applicability of the proposed equations to circumferential cracked elbows under in-plane bending is also investigated.