Analytical solutions are derived for the isothermal pseudoelastic response of a shape memory alloy (SMA) thick-walled cylinder subjected to internal pressure. The Tresca transformation criterion and linear hardening are used. Equations are given for the radial and circumferential stresses, transformation strains and radial displacement at various steps of loading and unloading. A structural pressure-temperature phase diagram is provided for the cylinder, analogous to the stress-temperature phase diagram of SMA materials. Pressurization of an initially 100% austenitic cylinder causes the martensite to initially form at the inner radius. For
The joint surface roughness in consideration of the influence of shear direction is quantitatively described. A natural joint produced by Brazilian splitting test is scanned, a digital elevation model that represents the morphological features of the joint is established. The two-dimensional roughness of joint profiles along the shear direction is analysed according to the parameters of root mean square (Z2), joint roughness coefficient (JRC) and the statistical characteristics of dip angles, respectively. It is proved that the standard deviation of dip angles is linearly correlated with the value of JRC2D. Further, the probability distribution of apparent dip angles along the shear direction is introduced to describe the shear-related three-dimensional joint roughness. Based on the scanning images of the joint morphology, the probability distribution of apparent dip angle varies with different shear directions.
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