Magnetothermoelastic Problem of a Conducting Hollow Circular Cylinder Subjected to Cyclic Variation of Magnetic Field : Analysis under Generalized Plane Strain Condition

Multi-layered cylindrical structures subject to pressure and thermal loading are commonly seen in many industries. In this study, the formulas for multi-layered 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.

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Stress analysis of a cylindrical composition-gradient electrode of lithium-ion battery in generalized plane strain condition

Acta Physica Sinica ◽

10.7498/aps.65.100201 ◽

2016 ◽

Vol 65 (10) ◽

pp. 100201

Author(s):

Peng Ying-Zha ◽

Zhang Kai ◽

Zheng Bai-Lin ◽

Li Yong

Keyword(s):

Stress Analysis ◽

Lithium Ion Battery ◽

Plane Strain ◽

Lithium Ion ◽

Plane Strain Condition ◽

Composition Gradient ◽

Strain Condition ◽

Generalized Plane Strain

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

Journal of Pressure Vessel Technology ◽

10.1115/1.4042445 ◽

2019 ◽

Vol 141 (2) ◽

Author(s):

Sang-Guk Kang ◽

Kuao-John Young

Keyword(s):

Finite Element ◽

Plane Strain ◽

Thermal Loading ◽

Mechanical Response ◽

Axial Direction ◽

Plane Strain Condition ◽

Strain Condition ◽

Efficient Design ◽

Element Analysis ◽

Generalized Plane Strain

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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