A Circular Cylindrical Shell with Different Elastic Moduli in Tension and Compression

概要

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Little attention has been paid to materials with different deformation responses to simple tension and compression, except to certain types, such as concrete. Yet, recently developed new materials, certain composites or high-polymers are said to exhibit more or less the avobe described behaviors. In this paper, as an example of analysis of plate or shell made of such materials, a circular cylindrical shell subjected to a uniform internal pressure is investigated. Since the elastic constants of these materials in a deformed body which depend on the sign of stress are unknown in advance, numerical analysis is performed by a successive approximation method, starting from an appropriately assumed stress state close to the desired solution. Results show that distributions of membrane force and bending moments in the circular cylindrical shell vary considerably with difference between tensile and compressive moduli of elasticity. Since precise experimental data on these materials are however still lacking, publication of such data is eagerly being waited for.
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