1. Date of download: 6/6/2016 Copyright © ASME. All rights reserved. From: A Comprehensive Parametric Finite Element Study on the Development of Strain Concentration in Concrete Coated Offshore Pipelines J. Pressure Vessel Technol. 2012;134(6):061701-061701-10. doi:10.1115/1.4006556 (a) Typical concrete coated pipes with their FJ regions (from Ref. [17]) and (b) schematic of a coated linepipe with the relevant dimensions and identifiers Figure Legend:

2. Date of download: 6/6/2016 Copyright © ASME. All rights reserved. From: A Comprehensive Parametric Finite Element Study on the Development of Strain Concentration in Concrete Coated Offshore Pipelines J. Pressure Vessel Technol. 2012;134(6):061701-061701-10. doi:10.1115/1.4006556 Schematic illustration of the moment–strain variation within a typical coated pipe and its FJ region, resulting in strain concentration Figure Legend:

3. Date of download: 6/6/2016 Copyright © ASME. All rights reserved. From: A Comprehensive Parametric Finite Element Study on the Development of Strain Concentration in Concrete Coated Offshore Pipelines J. Pressure Vessel Technol. 2012;134(6):061701-061701-10. doi:10.1115/1.4006556 Schematic illustration of the variation of the SCF as a function of the global bending strain ɛ g Figure Legend:

4. Date of download: 6/6/2016 Copyright © ASME. All rights reserved. From: A Comprehensive Parametric Finite Element Study on the Development of Strain Concentration in Concrete Coated Offshore Pipelines J. Pressure Vessel Technol. 2012;134(6):061701-061701-10. doi:10.1115/1.4006556 (a) A typical FE mesh along with the BCs (L t = 6000 mm and L f = 350 mm) and (b) schematic of the four-point bending test setup of Ness and Verley (taken from Ref. [7]). Figure Legend:

5. Date of download: 6/6/2016 Copyright © ASME. All rights reserved. From: A Comprehensive Parametric Finite Element Study on the Development of Strain Concentration in Concrete Coated Offshore Pipelines J. Pressure Vessel Technol. 2012;134(6):061701-061701-10. doi:10.1115/1.4006556 Schematic uniaxial stress–strain response of concrete Figure Legend:

6. Date of download: 6/6/2016 Copyright © ASME. All rights reserved. From: A Comprehensive Parametric Finite Element Study on the Development of Strain Concentration in Concrete Coated Offshore Pipelines J. Pressure Vessel Technol. 2012;134(6):061701-061701-10. doi:10.1115/1.4006556 Moment–strain response of the benchmark pipeline model (symbols represent the experimental data of Ness and Verley [7]) Figure Legend:

7. Date of download: 6/6/2016 Copyright © ASME. All rights reserved. From: A Comprehensive Parametric Finite Element Study on the Development of Strain Concentration in Concrete Coated Offshore Pipelines J. Pressure Vessel Technol. 2012;134(6):061701-061701-10. doi:10.1115/1.4006556 Distribution of the average bending strains along the length of pipeline (circles represent the experimental data of Ness and Verley [7]) Figure Legend:

8. Date of download: 6/6/2016 Copyright © ASME. All rights reserved. From: A Comprehensive Parametric Finite Element Study on the Development of Strain Concentration in Concrete Coated Offshore Pipelines J. Pressure Vessel Technol. 2012;134(6):061701-061701-10. doi:10.1115/1.4006556 Uniaxial true stress–strain response of the steel for the considered range of strain hardening indices Figure Legend:

9. Date of download: 6/6/2016 Copyright © ASME. All rights reserved. From: A Comprehensive Parametric Finite Element Study on the Development of Strain Concentration in Concrete Coated Offshore Pipelines J. Pressure Vessel Technol. 2012;134(6):061701-061701-10. doi:10.1115/1.4006556 Effect of D/t on the SCF for (a) Regime I loading and (b) Regime II loading Figure Legend:

10. Date of download: 6/6/2016 Copyright © ASME. All rights reserved. From: A Comprehensive Parametric Finite Element Study on the Development of Strain Concentration in Concrete Coated Offshore Pipelines J. Pressure Vessel Technol. 2012;134(6):061701-061701-10. doi:10.1115/1.4006556 Effect of the coating thickness on the SCF in (a) Regime I loading and (b) Regime II loading Figure Legend:

11. Date of download: 6/6/2016 Copyright © ASME. All rights reserved. From: A Comprehensive Parametric Finite Element Study on the Development of Strain Concentration in Concrete Coated Offshore Pipelines J. Pressure Vessel Technol. 2012;134(6):061701-061701-10. doi:10.1115/1.4006556 Effect of concrete coating’s compressive strength (f′ c ) on the SCF for (a) Regime I loading and (b) Regime II loading Figure Legend:

12. Date of download: 6/6/2016 Copyright © ASME. All rights reserved. From: A Comprehensive Parametric Finite Element Study on the Development of Strain Concentration in Concrete Coated Offshore Pipelines J. Pressure Vessel Technol. 2012;134(6):061701-061701-10. doi:10.1115/1.4006556 Variation of the SCF as a function ACL’s shear strength (τ y ) for (a) Regime I loading and (b) Regime II loading Figure Legend:

13. Date of download: 6/6/2016 Copyright © ASME. All rights reserved. From: A Comprehensive Parametric Finite Element Study on the Development of Strain Concentration in Concrete Coated Offshore Pipelines J. Pressure Vessel Technol. 2012;134(6):061701-061701-10. doi:10.1115/1.4006556 Effect of steel’s yield strength, σ y, on the SCF Figure Legend:

14. Date of download: 6/6/2016 Copyright © ASME. All rights reserved. From: A Comprehensive Parametric Finite Element Study on the Development of Strain Concentration in Concrete Coated Offshore Pipelines J. Pressure Vessel Technol. 2012;134(6):061701-061701-10. doi:10.1115/1.4006556 Effect of the strain hardening index, n, on the SCF, along with the perfectly plastic case (n→∞) Figure Legend:

15. Date of download: 6/6/2016 Copyright © ASME. All rights reserved. From: A Comprehensive Parametric Finite Element Study on the Development of Strain Concentration in Concrete Coated Offshore Pipelines J. Pressure Vessel Technol. 2012;134(6):061701-061701-10. doi:10.1115/1.4006556 Evolution of the SCF versus ɛ ave for the family of combined hoop stress and bending loads (B + P) Figure Legend:

16. Date of download: 6/6/2016 Copyright © ASME. All rights reserved. From: A Comprehensive Parametric Finite Element Study on the Development of Strain Concentration in Concrete Coated Offshore Pipelines J. Pressure Vessel Technol. 2012;134(6):061701-061701-10. doi:10.1115/1.4006556 Effect of tensile load (N/N y ) combined with bending load (B + T) on the SCF Figure Legend:

17. Date of download: 6/6/2016 Copyright © ASME. All rights reserved. From: A Comprehensive Parametric Finite Element Study on the Development of Strain Concentration in Concrete Coated Offshore Pipelines J. Pressure Vessel Technol. 2012;134(6):061701-061701-10. doi:10.1115/1.4006556 Schematic illustrating the Mises yield surface and the different load paths: (1) initial pressurization, (2) bending of the tensile chord, and (3) bending of the compressive chord Figure Legend:

18. Date of download: 6/6/2016 Copyright © ASME. All rights reserved. From: A Comprehensive Parametric Finite Element Study on the Development of Strain Concentration in Concrete Coated Offshore Pipelines J. Pressure Vessel Technol. 2012;134(6):061701-061701-10. doi:10.1115/1.4006556 Contours of the equivalent plastic strain in the steel pipe subject to: (top) pure bending; (middle) bending + pressure (σ h /σ y = 0.5); and (bottom) bending + tension (N/N y = 0.5). Concrete coating and ACL are hidden for clarity. Figure Legend: