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Research Papers: Design and Analysis

# Thermo-Mechanical Response of Multilayered Cylinders Under Pressure and Thermal Loading With Generalized Plane Strain Condition

[+] Author and Article Information
Sang-Guk Kang

DuPont T&AP,
Wilmington, DE 19805
e-mail: Sangguk.Kang@dupont.com

Kuao-John Young

DuPont Engineering,
DuPont Engineering Technology Center,
Wilmington, DE 19805
e-mail: K-John.Young@dupont.com

1Corresponding author.

Contributed by the Pressure Vessel and Piping Division of ASME for publication in the JOURNAL OF PRESSURE VESSEL TECHNOLOGY. Manuscript received July 27, 2018; final manuscript received January 3, 2019; published online February 21, 2019. Assoc. Editor: Oreste S. Bursi.

J. Pressure Vessel Technol 141(2), 021202 (Feb 21, 2019) (7 pages) Paper No: PVT-18-1140; doi: 10.1115/1.4042445 History: Received July 27, 2018; Revised January 03, 2019

## Abstract

Multilayered cylindrical structures subject to pressure and thermal loading are commonly seen in many industries. In this study, the formulas for multilayered cylinders under pressure and thermal loading are derived with an assumption that the cylinders meet generalized plane strain condition, i.e., there is no external constraint in the axial direction and the axial growths of the cylindrical layers are the same. A numerical solution procedure for double-layered cylinders subject to both pressure and thermal load is developed and implemented in a mathcad program. To validate the solution, a finite element model for a double-layered cylinder is prepared with abaqus, and its responses under pressure and thermal loading are compared to those from the mathcad program. The algorithm of the method can be extended to three or more layered cylinders. The method developed in this study allows quick optimization and efficient design refinement for multilayered cylinders without running finite element analysis (FEA).

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## References

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## Figures

Fig. 1

An example of double-layered cylinder (carbon steel reactor with stainless steel liner near the bore)

Fig. 2

Multilayered cylinder with N layers

Fig. 3

Double-layered cylinder

Fig. 4

Axi-symmetric FEA model for double-layered cylinder with thermo-mechanical boundary conditions

Fig. 5

Flow chart used to obtain the axial strain for a double-layered cylinder

Fig. 6

Comparison of temperature distributions along the thickness direction

Fig. 7

Comparison of radial displacements along the thickness direction

Fig. 8

Comparison of radial stress along the thickness direction

Fig. 9

Comparison of hoop stress along the thickness direction

Fig. 10

Comparison of axial stress along the thickness direction

## Errata

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