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Deformation of a Supported Long Cylindrical Shell of Aluminum Alloy under Internal Pressure

Yoshio Ohashi, Norio Kamiya, Kiyoshi WAKABAYASHI

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Abstract

In the previous paper, the deformation under internal pressure was analysed for a supported short cylinder of aluminum alloy as the material having non-linear stress-strain relation. On the other hand, it is well known that the mode of elastic deformation of thin cylindrical shells of finite length under internal pressure is different according to the ratio l/√(ha), where 2l, 2h and a are length, wall thickness and radius of the cylinder, repectively. Such a trend may be expected to be modified for the above mentioned material. In the present paper, a long cylinder with the same size as that mentioned above except its length was analysed in the same way as in the previous paper, in order to investigate the trend of deformation mode in such materials. As the result of analysis, it may be concluded that the mode of the long cylinder varies gradually with an increase of internal pressure and approaches that of a short cylinder, in the non-linear range of stress-strain relation.

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In the previous paper, the deformation under internal pressure was analysed for a supported short cylinder of aluminum alloy as the material having non-linear stress-strain relation. On the other hand, it is well known that the mode of elastic deformation of thin cylindrical shells of finite length under internal pressure is different according to the ratio l/√(ha), where 2l, 2h and a are length, wall thickness and radius of the cylinder, repectively. Such a trend may be expected to be modified for the above mentioned material. In the present paper, a long cylinder with the same size as that mentioned above except its length was analysed in the same way as in the previous paper, in order to investigate the trend of deformation mode in such materials. As the result of analysis, it may be concluded that the mode of the long cylinder varies gradually with an increase of internal pressure and approaches that of a short cylinder, in the non-linear range of stress-strain relation.

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Available abstract

In the previous paper, the deformation under internal pressure was analysed for a supported short cylinder of aluminum alloy as the material having non-linear stress-strain relation. On the other hand, it is well known that the mode of elastic deformation of thin cylindrical shells of finite length under internal pressure is different according to the ratio l/√(ha), where 2l, 2h and a are length, wall thickness and radius of the cylinder, repectively. Such a trend may be expected to be modified for the above mentioned material. In the present paper, a long cylinder with the same size as that mentioned above except its length was analysed in the same way as in the previous paper, in order to investigate the trend of deformation mode in such materials. As the result of analysis, it may be concluded that the mode of the long cylinder varies gradually with an increase of internal pressure and approaches that of a short cylinder, in the non-linear range of stress-strain relation.

Key concepts: Cylinder, Internal pressure, Deformation (meteorology), Materials science, RADIUS, Shell (structure), Stress (linguistics), Aluminium

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