Elastic Analysis for Thick-Walled Tubes of Functionally Gradient Material Subject to Internal Pressure

• Published in: Transactions of the Japan Society of Mechanical Engineers Series A Vol. 57; no. 542; pp. 2438 - 2443
• Main Authors: FUKUI, Yasuyoshi, YAMANAKA, Noboru
• Format: Journal Article
• Language: English; Japanese
• Published: The Japan Society of Mechanical Engineers 1991
• Subjects: Composite Material; Elasticity; Functionally Gradient Material; Internal Pressure; Material Design
• ISSN: 0387-5008; 1884-8338
• DOI: 10.1299/kikaia.57.2438

The elastic problem for thick-walled tubes of a functionally gradient material (FGM) under internal pressure in the case of plane strain (εz=0) has been studied. The model components of FGM are based on the combination of the matrix having three kinds of elastic moduli of 35, 70 and 210 GPa, and the powder having an elastic modulus of 360 GPa. The distribution profile is assumed by the expressions reported previously for the corundum/plaster FGM. The elastic stress and strain distributions for FGM become complicated because of radial elastic modulus gradients. The effects of distribution profiles on the deformation can be summarized by considering the variation of the normalized elastic modulus gradient [(dE/dr)/E] in the radial direction. If a greater positive normalized elastic modulus gradient is obtained, the circumferential stress at an inner surface of a tube is decreased, and then the tube begins to function as a compound tube.